Engineered Open Systems and Quantum Simulations with Atoms and Ions

Advances in Atomic, Molecular and Optical Physics

Volumn 61, Issue , 2012, Pages 1-80

  Müller, Markus ^a,b   Diehl, Sebastian ^a   Pupillo, Guido ^a,c   Zoller, Peter ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^c UNIVERSITÉ DE STRASBOURG   (France)

Author keywords

Atomic physics; Open quantum systems; Quantum phase transitions; Quantum simulation; Topological phases of matter; Trapped ions; Unconventional pairing mechanisms

Indexed keywords

EID: 84864368586     PISSN: 1049250X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/B978-0-12-396482-3.00001-6     Document Type: Chapter

References (227)

1. Abrams D.S., Lloyd S. Simulation of many-body Fermi systems on a universal quantum computer. Physical Review Letters 1997, 79(13):2586.
2. Aguado M., Brennen G.K., Verstraete F., Cirac J.I. Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices. Physical Review Letters 2008, 101:260501.
3. Alicea J., Oreg Y., Refael G., von Oppen F., Fisher M.P.A. Non-Abelian statistics and topological quantum information processing in 1d wire networks. Nature Physics 2011, 7:412-417.
4. Altland A., Simons B. Condensed matter field theory. 2010, Cambridge University Press.
5. Altland A., Zirnbauer M.R. Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures. Physical Review B 1997, 55:1142.
6. Altman E., Auerbach A. Plaquette boson-fermion model of cuprates. Physical Review B 2002, 65:104508.
7. 4 and superconductivity. Science 1987, 235:1196.
8. Anderson S.E., Younge K.C., Raithel G. Trapping Rydberg atoms in an optical lattice. Physical Review Letters 2011, 107:263001.
9. Aspect A., Arimondo E., Kaiser R., Vansteenkiste N., Cohen-Tannoudji C. Laser cooling below the one-photon recoil energy by velocity-selective coherent population trapping. Physical Review Letters 1988, 61:826.
10. Bacon D., Childs A.M., Chuang I.L., Kempe J., Leung D.W., Zhou X. Universal simulation of Markovian quantum dynamics. Physical Review A 2001, 64(6):062302.
11. Bakr W.S., Gillen J.I., Peng A., Fölling S., Greiner M. A quantum gas microscope for detecting single atoms in a Hubbard-regime optical lattice. Nature 2010, 462:74.
12. Bakr W.S., Peng A., Tai M.E., Ma R., Simon J., Gillen J.I., et al. Probing the superfluid-Mott insulator transition at the single-atom level. Science 2010, 329(5991):547-550.
13. Baranov, M. A., Dalmonte, M., Pupillo, G., & Zoller, P. (in press). Condensed matter theory of dipolar quantum gases. Chemical Reviews.
14. Bardyn, C. E., Baranov, M. A., Rico, E., Imamoglu, A., Zoller, P., & Diehl, S. (2012). Majorana modes in driven-dissipative atomic superfluids with zero Chern number. Available from: . arxiv:1201.2112.
15. Barreiro J., Müller M., Schindler P., Nigg D., Monz T., Chwalla M., et al. An open-system quantum simulator with trapped ions. Nature 2011, 470:486.
16. Baumgartner B., Narnhofer H., Thirring W. Analysis of quantum semigroups with GKS-Lindblad generators: I. Simple generator. Journal of Physics A 2007, 41:065201.
17. Beige A., Braun D., Tregenna B., Knight P.L. Quantum computing using dissipation to remain in a decoherence-free subspace. Physical Review Letters 2000, 85:1762-1765.
18. Benhelm J., Kirchmair G., Roos C.F., Blatt R. Towards fault-tolerant quantum computing with trapped ions. Nature Physics 2008, 4:463-466.
19. Bermudez A., Porras D., Martin-Delgado M.A. Competing many-body interactions in systems of trapped ions. Physical Review A 2009, 79(6):060303.
20. Berry M.V. Quantal phase factors accompanying adiabatic changes. Proceedings of the Royal Society of London Series A 1984, 392:45-57.
21. Berry D.W., Ahokas G., Cleve R., Sanders B.C. Efficient quantum algorithms for simulating sparse Hamiltonians. Communications in Mathematical Physics 2007, 270:359.
22. Blakestad R.B., Ospelkaus C., VanDevender A.P., Amini J.M., Britton J., Leibfried D., et al. High-fidelity transport of trapped-ion qubits through an x-junction trap array. Physical Review Letters 2009, 102(15):153002.
23. Blatt R., Wineland D. Entangled states of trapped atomic ions. Nature 2008, 453:1008-1015.
24. Bloch I., Dalibard J., Zwerger W. Many-body physics with ultracold gases. Reviews of Modern Physics 2008, 80:885.
25. Bloch I., Dalibard J., Nascimbène S. Quantum simulations with ultracold quantum gases. Nature Physics 2012, 8:267.
26. Bolognani S., Ticozzi F. Engineering stable discrete-time quantum dynamics via a canonical QR decomposition. IEEE Transactions on Automatic Control 2010, 55:2721.
27. Bombin H., Martin-Delgado M.A. Topological quantum distillation. Physical Review Letters 2006, 97(18):180501.
28. Bombin H., Martin-Delgado M.A. Optimal resources for topological two-dimensional stabilizer codes: Comparative study. Physical Review A 2007, 76(1):012305.
29. Brachmann, J. F. S., Bakr, W. S., Gillen, J., Peng, A., & Greiner, M. (2011). Inducing vortices in a Bose-Einstein condensate using holographically produced light beams. Available from: . arxiv:1102.3373v1.
30. Bravyi S., DiVincenzo D.P., Loss D., Terhal B.M. Quantum simulation of many-body Hamiltonians using perturbation theory with bounded-strength interactions. Physical Review Letters 2008, 101(7):070503.
31. Brennen G.K., Pupillo G., Rey A.M., Clark C.W., Williams C.J. Scalable register initialization for quantum computing in an optical lattice. Journal of Physics B 2005, 38:1687.
32. Büchler H.P., Micheli A., Zoller P. Three-body interactions with cold polar molecules. Nature Physics 2007, 3(10):726.
33. Buluta I., Nori F. Quantum simulators. Science 2009, 326(5949):108.
34. Calabrese P., Cardy J. Time dependence of correlation functions following a quantum quench. Physical Review Letters 2006, 96:136801.
35. Calderbank A.R., Shor P.W. Good quantum error-correcting codes exist. Physical Review A 1996, 54(2):1098-1105.
36. Carollo A., Fuentes-Guridi I., Santos M.F., Vedral V. Geometric phase in open systems. Physical Review Letters 2003, 90:160402.
37. Casanova, J., Lamata, L., Egusquiza, I.L., Gerritsma, R., Roos, C.F., García-Ripoll, J.J. (2011). Quantum simulation of quantum field theories in trapped ions. Physical Review Letters, 107, 260501.
38. Casanova, J., Mezzacapo, A., Lamata, L., & Solano, E. (2012). Quantum simulation of interacting fermion lattice models in trapped ions. Available from: . arxiv:1110.3730.
39. Focus on cold and ultracold molecules. New Journal of Physics 2009, 11.
40. Ceperley D.M. Path integrals in the theory of condensed helium. Reviews of Modern Physics 1995, 67:279-355.
41. Chakravarty S., Ingold G.-L., Kivelson S., Luther A. Onset of global phase coherence in Josephson-junction arrays: A dissipative phase transition. Physical Review Letters 1986, 56:2303-2306.
42. Chakravarty S., Kivelson S., Zimanyi G.T., Halperin B.I. Effect of quasiparticle tunneling on quantum-phase fluctuations and the onset of superconductivity in granular films. Physical Review B 1987, 35:7256-7259.
43. Chin J.K., Miller D.E., Liu Y., Stan C., Setiawan C., Sanner C., et al. Evidence for superfluidity of ultracold fermions in an optical lattice. Nature 2006, 443:961-964.
44. Cirac J.I., Zoller P. Goals and opportunities in quantum simulation. Nature Physics 2012, 8:264.
45. Clarke J., Wilhelm F.K. Superconducting quantum bits. Nature 2008, 453(7198):1031.
46. Clark R.J., Linb T., Brown K.R., Chuang I.L. A two-dimensional lattice ion trap for quantum simulation. Journal of Applied Physics 2009, 105(1):013114.
47. Cramer M., Dawson C.M., Eisert J., Osborne T.J. Exact relaxation in a class of nonequilibrium quantum lattice systems. Physical Review Letters 2008, 100:030602.
48. Cubel T., Teo B.K., Malinovsky V.S., Guest J.R., Reinhard A., Knuffman B., et al. Coherent population transfer of ground-state atoms into Rydberg states. Physical Review A 2005, 72:023405.
49. Daley A.J. Quantum computing and quantum simulation with group-ii atoms. Quantum Information Processing 2011, 10:865-884.
50. Daley A.J., Boyd M.M., Ye J., Zoller P. Quantum computing with alkaline-earth-metal atoms. Physical Review Letters 2008, 101:170504.
51. Daley A.J., Taylor J.M., Diehl S., Baranov M., Zoller P. Atomic three-body loss as a dynamical three-body interaction. Physical Review Letters 2009, 102:040402.
52. Dalibard J., Gerbier F., Juzeliunas G., Öhberg P. Colloquium: Artificial gauge potentials for neutral atoms. Reviews of Modern Physics 2011, 83:1523-1543.
53. Dalla Torre E.G., Demler E., Giamarchi T., Altman E. Quantum critical states and phase transitions in the presence of non-equilibrium noise. Nature Physics 2010, 6:806.
54. Dalla Torre, E. G., Demler, E., Giamarchi, T., & Altman, E. (2011). Dynamics and universality in noise driven dissipative systems. Available from: . arxiv:1110.3678.
55. Dennis E., Kitaev A., Landahl A., Preskill J. Topological quantum memory. Journal of Mathematical Physics 2002, 43(9):4452.
56. Diehl S., Baranov M., Daley A.J., Zoller P. Observability of quantum criticality and a continuous supersolid in atomic gases. Physical Review Letters 2010, 104:165301.
57. Diehl S., Micheli A., Kantian A., Kraus B., Büchler H.P., Zoller P. Quantum states and phases in driven open quantum systems with cold atoms. Nature Physics 2008, 4(11):878.
58. Diehl S., Rico E., Baranov M.A., Zoller P. Topology by dissipation in atomic quantum wires. Nature Physics 2011, 7:971-977.
59. Diehl S., Tomadin A., Micheli A., Fazio R., Zoller P. Dynamical phase transitions and instabilities in open atomic many-body systems. Physical Review Letters 2010, 105:015702.
60. Diehl S., Yi W., Daley A.J., Zoller P. Dissipation-induced d-wave pairing of fermionic atoms in an optical lattice. Physical Review Letters 2010, 105:227001.
61. Dür W., Bremner M.J., Briegel H.J. Quantum simulation of interacting high-dimensional systems: The influence of noise. Physical Review A 2008, 78(5):052325.
62. Eisert, J., & Prosen, T. (2010). Noise-driven quantum criticality. Available from: . arxiv:1012.5013.
63. Esslinger T. Fermi-Hubbard physics with atoms in an optical lattice. Annual Review of Condensed Matter Physics 2010, 1:129-152.
64. Fisher M.P.A., Weichman P.B., Grinstein G., Fisher D.S. Boson localization and the superfluid-insulator transition. Physical Review B 1989, 40:546-570.
65. Fleischhauer M., Imamoglu A., Marangos J.P. Electromagnetically induced transparency: Optics in coherent media. Reviews of Modern Physics 2005, 77:633.
66. Fölling S., Trotzky S., Cheinet P., Feld M., Saers R., Widera A., et al. Direct observation of second-order atom tunnelling. Nature 2007, 448:1029.
67. Friedenauer A., Schmitz H., Glueckert J.T., Porras D., Schaetz T. Simulating a quantum magnet with trapped ions. Nature Physics 2008, 4:757-761.
68. Gaetan A., Miroshnychenko Y., Wilk T., Chotia A., Viteau M., Comparat D., et al. Observation of collective excitation of two individual atoms in the Rydberg blockade regime. Nature Physics 2009, 5:115.
69. Gallagher T.F. Rydberg atoms 1994, Cambridge University Press.
70. Gardiner C.W., Zoller P. Quantum noise 1999, Springer-Verlag, Berlin.
71. Gasenzer T., Berges J., Schmidt M.G., Seco M. Nonperturbative dynamical many-body theory of a Bose-Einstein condensate. Physical Review A 2005, 72:063604.
72. Georges A., Kotliar G., Krauth W., Rozenberg M.J. Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions. Reviews of Modern Physics 1996, 68:13-125.
73. Gilchrist A., Langford N.K., Nielsen M.A. Distance measures to compare real and ideal quantum processes. Physical Review A 2005, 71:062310.
74. Gorshkov A.V., Hermele M., Gurarie V., Xu C., Julienne P.S., Ye J., et al. Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms. Nature Physics 2010, 6:289.
75. Greiner M., Mandel O., Esslinger T., Hänsch T.W., Bloch I. Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms. Nature 2001, 415(6867):39.
76. Greiner M., Mandel O., Esslinger T., Hänsch T.W., Bloch I. Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms. Nature 2002, 415:39-44.
77. Greiner M., Mandel O., Hänsch T.W., Bloch I. Collapse and revival of the matter wave field of a Bose-Einstein condensate. Nature 2002, 419:51-54.
78. Griessner A., Daley A.J., Clark S.R., Jaksch D., Zoller P. Dark-state cooling of atoms by superfluid immersion. Physical Review Letters 2006, 97:220403.
79. Gros C. Superconductivity in correlated wave functions. Physical Review B 1988, 38:931.
80. Häffner H., Roos C.F., Blatt R. Quantum computing with trapped ions. Physics Reports 2008, 469(4):155.
81. Hallberg K.A. New trends in density matrix renormalization. Advances in Physics 2006, 55:477-526.
82. Hammond B.L., Lester W.A., Reynolds P.J. Monte Carlo methods in ab initio quantum chemistry 1994, World Scientific.
83. Hanson R., Kouwenhoven L.P., Petta J.R., Tarucha S., Vandersypen L.M.K. Spins in few-electron quantum dots. Reviews of Modern Physics 2007, 79(4):1217-1265.
84. Hasan M., Kane C. Colloquium: Topological insulators. Reviews of Modern Physics 2010, 82:3045-3067.
85. Hatsugai Y. Chern number and edge states in the integer quantum Hall effect. Physical Review Letters 1993, 71:3697-3700.
86. Heidemann R., Raitzsch U., Bendkowsky V., Butscher B., Löw R., Santos L., et al. Evidence for coherent collective Rydberg excitation in the strong blockade regime. Physical Review Letters 2007, 99:163601.
87. Hensinger W.K., Olmschenk S., Stick D., Hucul D., Yeo M., Acton M., et al. T-junction ion trap array for two-dimensional ion shuttling, storage, and manipulation. Applied Physics Letters 2006, 88(3):034101.
88. Hermele M., Fisher M.P.A., Balents L. Pyrochlore photons: The u(1) spin liquid in a s=12 three-dimensional frustrated magnet. Physical Review B 2004, 69:064404.
89. Hoening, M., Moos, M., & Fleischhauer, M. (2010). Critical exponents of flux-equilibrium phase transitions in fermionic lattice models. Available from: . arxiv:1108.2263.
90. Hofferberth S., Lesanovsky I., Fischer B., Schumm T., Schmiedmayer J. Non-equilibrium coherence dynamics in one-dimensional Bose gases. Nature 2007, 449:324-327.
91. Hofstetter W., Cirac J.I., Zoller P., Demler E., Lukin M.D. High-temperature superfluidity of fermionic atoms in optical lattices. Physical Review Letters 2002, 89:220407.
92. Home J.P., Hanneke D., Jost J.D., Amini J.M., Leibfried D., Wineland D.J. Complete methods set for scalable ion trap quantum information processing. Science 2009, 325(5945):1227-1230.
93. Honer J., Weimer H., Pfau T., Büchler H.P. Collective many-body interaction in Rydberg dressed atoms. Physical Review Letters 2010, 105:160404.
94. Isenhower L., Urban E., Zhang X.L., Gill A.T., Henage T., Johnson T.A., et al. Demonstration of a neutral atom controlled-NOT quantum gate. Physical Review Letters 2010, 104(1):010503.
95. Jaksch D., Bruder C., Cirac J.I., Gardiner C.W., Zoller P. Cold bosonic atoms in optical lattices. Physical Review Letters 1998, 81:3108.
96. Jaksch D., Bruder C., Cirac J.I., Gardiner C.W., Zoller P. Cold bosonic atoms in optical lattices. Physical Review Letters 1998, 81:3108-3111.
97. Jaksch D., Cirac J.I., Zoller P., Rolston S.L., Côté R., Lukin M.D. Fast quantum gates for neutral atoms. Physical Review Letters 2000, 85(10):2208.
98. Jaksch D., Zoller P. The cold atom Hubbard toolbox. Annals of Physics 2005, 315(1):52.
99. Jané E., Vidal G., Dür W., Zoller P., Cirac J. Simulation of quantum dynamics with quantum optical systems. Quantum Information and Computation 2003, 3:15-37.
100. Johanning M., Varn A.F., Wunderlich C. Quantum simulations with cold trapped ions. Journal of Physics B 2009, 42(15):154009.
101. Jördens R., Strohmaier N., Günter K., Moritz H., Esslinger T. Fermionic atoms in a three dimensional optical lattice: Observing Fermi surfaces, dynamics, and interactions. Nature 2008, 455:204-207.
102. Jördens R., Tarruell L., Greif D., Uehlinger T., Strohmaier N., Moritz H., et al. Quantitative determination of temperature in the approach to magnetic order of ultracold fermions in an optical lattice. Physical Review Letters 2010, 104:180401.
103. Jozsa R. Fidelities for mixed quantum states. Journal of Modern Optics 1994, 41:2315.
104. Kamenev A., Levchenko A. Keldysh technique and non-linear sigma-model: Basic principles and applications. Advances in Physics 2009, 58:197.
105. Kampf A., Schön G. Quantum effects and the dissipation by quasiparticle tunneling in arrays of Josephson junctions. Physical Review B 1987, 36:3651-3660.
106. Kantian A., Dalmonte M., Diehl S., Hofstetter W., Zoller P., Daley A.J. Atomic color superfluid via three-body loss. Physical Review Letters 2009, 103:240401.
107. Kasevich M., Chu S. Laser cooling below a photon recoil with three-level atoms. Physical Review Letters 1992, 69:1741.
108. Kasprzak J., Richard M., Kundermann S., Baas A., Jeambrun P., Keeling J.M.J., et al. Bose-Einstein condensation of exciton polaritons. Nature 2006, 443:409.
109. Kassal I., Whitfield J.D., Perdomo-Ortiz A., Yung M.-H., Aspuru-Guzik A. Simulating chemistry using quantum computers. Annual Review of Physical Chemistry 2011, 62:185.
110. Kastoryano M.J., Reiter F., Sørensen A.S. Dissipative preparation of entanglement in optical cavities. Physical Review Letters 2011, 106:090502.
111. Kastoryano, M. J., Wolf, M. M., & Eisert, J. (2012). Precisely timing dissipative quantum information processing. Available from: . arxiv:1205.0985v1.
112. Kim K., Chang M.-S., Korenblit S., Islam R., Edwards E.E., Freericks J.K., et al. Quantum simulation of frustrated Ising spins with trapped ions. Nature 2010, 465:590-593.
113. Kinoshita T., Wenger T., Weiss D.S. A quantum Newton's cradle. Nature 2006, 452:900-903.
114. Kitaev A.Y. Quantum error correction with imperfect gates. Russian Mathematical Surveys 1997, 52:1191.
115. Kitaev A.Y. Unpaired Majorana fermions in quantum wires. Physics-Uspekhi 2001, 44:131.
116. Kitaev A.Y. Fault-tolerant quantum computation by anyons. Annals of Physics 2003, 303(1):2.
117. Kitaev A.Y. Anyons in an exactly solved model and beyond. Annals of Physics 2006, 321:2.
118. Kitagawa T., Berg E., Rudner M., Demler E. Topological characterization of periodically driven quantum systems. Physical Review B 2010, 82:235114.
119. Kliesch M., Barthel T., Gogolin C., Kastoryano M., Eisert J. Dissipative quantum Church-Turing theorem. Physical Review Letters 2011, 107:120501.
120. Kogut J.B. An introduction to lattice gauge theory and spin systems. Reviews of Modern Physics 1979, 51:659-713.
121. Köhl M., Moritz H., Stöferle T., Günter K., Esslinger T. Fermionic atoms in a three dimensional optical lattice: Observing Fermi surfaces, dynamics, and interactions. Physical Review Letters 2005, 94:080403.
122. Kollath C., Läuchli A.M., Altman E. Quench dynamics and nonequilibrium phase diagram of the Bose-Hubbard model. Physical Review Letters 2007, 98:180601.
123. Kraus B., Büchler H.P., Diehl S., Kantian A., Micheli A., Zoller P. Preparation of entangled states by quantum Markov processes. Physical Review A 2008, 78(4):042307.
124. Kraus, C. V., Diehl, S., Zoller, P., & Baranov, M. A. (2012). Probing atomic Majorana fermions in optical lattices. Available from: . arxiv:1201.3253.
125. Krauter H., Muschik C.A., Jensen K., Wasilewski W., Petersen J.M., Cirac J.I., et al. Entanglement generated by dissipation and steady state entanglement of two macroscopic objects. Physical Review Letters 2011, 107:080503.
126. Ladd T.D., Jelezko F., Laflamme R., Nakamura Y., Monroe C., O'Brien J.L. Quantum computers. Nature 2010, 464(7285):45-53.
127. Lanyon B.P., Hempel C., Nigg D., Müller M., Gerritsma R., Zähringer F., et al. Universal digital quantum simulation with trapped ions. Science 2011, 334(6052):57.
128. Lee P.J., Anderlini M., Brown B.L., Sebby-Strabley J., Phillips W.D., Porto J.V. Sublattice addressing and spin-dependent motion of atoms in a double-well lattice. Physical Review Letters 2007, 99:020402.
129. Leggett A.J. Quantum liquids: Bose condensation and Cooper pairing in condensed-matter systems 2006, Oxford University Press.
130. Lesanovsky I. Many-body spin interactions and the ground state of a dense Rydberg lattice gas. Physical Review Letters 2011, 106:025301.
131. Levin M., Wen X.-G. Colloquium: Photons and electrons as emergent phenomena. Reviews of Modern Physics 2005, 77:871-879.
132. Levin M.A., Wen X.-G. String-net condensation: A physical mechanism for topological phases. Physical Review B 2005, 71:045110.
133. Lewenstein M., Sanpera A., Ahufinger V., Damski B., De A.S., Sen U. Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond. Advances in Physics 2006, 56:135.
134. Lidar D.A., Chuang I.L., Whaley K.B. Decoherence-free subspaces for quantum computation. Physical Review Letters 1998, 81:2594-2597.
135. Lindner N.H., Refael G., Galitski V. Floquet topological insulator in semiconductor quantum wells. Nature Physics 2011, 7:490-495.
136. Lloyd S. Almost any quantum logic gate is universal. Physical Review Letters 1995, 75:346-349.
137. Lloyd S. Universal quantum simulators. Science 1996, 273(5278):1073.
138. Lloyd S., Viola L. Engineering quantum dynamics. Physical Review A 2001, 65(1):010101.
139. Lukin M.D., Fleischhauer M., Côté R., Duan L.M., Jaksch D., Cirac J.I., et al. Dipole blockade and quantum information processing in mesoscopic atomic ensembles. Physical Review Letters 2001, 87(3):037901.
140. Makela H., Watanabe G. Dissipation-induced squeezing. Physical Review A 2012, 85:023604.
141. Marcos D., Tomadin A., Diehl S., Rabl P. Photon condensation in circuit QED by engineered dissipation. New Journal of Physics 2012, 14:055005.
142. Mariantoni M., Wang H., Bialczak R.C., Lenander M., Lucero E., Neeley M., et al. Photon shell game in three-resonator circuit quantum electrodynamics. Nature Physics 2011, 7:287-293.
143. Mitra A., Takei S., Kim Y.B., Millis A.J. Nonequilibrium quantum criticality in open electronic systems. Physical Review Letters 2006, 97:236808.
144. Moessner R., Sondhi S.L. Resonating valence bond phase in the triangular lattice quantum dimer model. Physical Review Letters 2001, 86(9):1881-1884.
145. Mohapatra A.K., Jackson T.R., Adams C.S. Coherent optical detection of highly excited Rydberg states using electromagnetically induced transparency. Physical Review Letters 2007, 98:113003.
146. Møller D., Madsen L.B., Mølmer K. Quantum gates and multiparticle entanglement by Rydberg excitation blockade and adiabatic passage. Physical Review Letters 2008, 100:170504.
147. Mølmer K., Sørensen A. Multiparticle entanglement of hot trapped ions. Physical Review Letters 1999, 82(9):1835.
148. Monz T., Schindler P., Barreiro J.T., Chwalla M., Nigg D., Coish W.A., et al. 14-Qubit entanglement: Creation and decoherence. Physical Review Letters 2011, 106(13):130605.
149. Moskalenko S.A., Snoke D. Bose-Einstein condensation of excitons and biexcitons. 2000, Cambridge University Press.
150. Motrunich O.I., Senthil T. Exotic order in simple models of bosonic systems. Physical Review Letters 2002, 89:277004.
151. Müller M., Hammerer K., Zhou Y., Roos C.F., Zoller P. Simulating open quantum systems: from many-body interactions to stabilizer pumping. New Journal of Physics 2011, 13:085007.
152. Müller M., Lesanovsky I., Weimer H., Büchler H.P., Zoller P. Mesoscopic Rydberg gate based on electromagnetically induced transparency. Physical Review Letters 2009, 102:170502.
153. Muschik C.A., Polzik E.S., Cirac J.I. Dissipatively driven entanglement of two macroscopic atomic ensembles. Physical Review A 2011, 83:052312.
154. Nayak C., Simon S.H., Stern A., Freedman M., Das Sarma S. Non-Abelian anyons and topological quantum computation. Reviews of Modern Physics 2008, 80(3):1083.
155. Nelson K.D., Li X., Weiss D.S. Imaging single atoms in a three-dimensional array. Nature Physics 2007, 3:556.
156. Nielsen M.A., Chuang I.L. Quantum computation and quantum information. 2000, Cambridge University Press.
157. O'Brien J.L. Optical quantum computing. Science 2007, 318:1567-1570.
158. Olmos B., González-Férez R., Lesanovsky I. Fermionic collective excitations in a lattice gas of Rydberg atoms. Physical Review Letters 2009, 103:185302.
159. Ortiz G., Gubernatis J.E., Knill E., Laflamme R. Quantum algorithms for fermionic simulations. Physical Review A 2001, 64(2):022319.
160. Pachos J., Zanardi P., Rasetti M. Non-Abelian Berry connections for quantum computation. Physical Review A 1999, 61:010305.
161. Paramekanti A., Randeria M., Trivedi N. High-Tc superconductors? A variational theory of the superconducting state. Physical Review B 2004, 70:054504.
162. Parr R.G., Yang W. Density-functional theory of atoms and molecules. 1989, Oxford University Press.
163. Pastawski F., Clemente L., Cirac J.I. Quantum memories based on engineered dissipation. Physical Review A 2011, 83:012304.
164. Pichler H., Daley A.J., Zoller P. Nonequilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission. Physical Review A 2010, 82:063605.
165. Pohl T., Demler E., Lukin M.D. Dynamical crystallization in the dipole blockade of ultracold atoms. Physical Review Letters 2010, 104:043002.
166. Porras D., Cirac J.I. Effective quantum spin systems with trapped ions. Physical Review Letters 2004, 92(20):207901.
167. Porto J.V. Improving correlations despite particle loss. Science 2008, 320:1300.
168. Prokof'ev N., Svistunov B., Tupitsyn I. Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems. JETP 1998, 87:310.
169. Prosen T. Third quantization: A general method to solve master equations for quadratic open Fermi systems. New Journal of Physics 2008, 10:043026.
170. Prosen T. Spectral theorem for the Lindblad equation for quadratic open fermionic systems. Journal of Statistical Mechanics 2010, P07020.
171. Pupillo G., Rey A.M., Brennen G.K., Williams C.J., Clark C.W. Scalable quantum computation in systems with Bose-Hubbard dynamics. Journal of Modern Optics 2004, 51:2395.
172. Qi X.-L., Zhang S.-C. Topological insulators and superconductors. Reviews of Modern Physics 2011, 83:1057-1110.
173. Raitzsch U., Bendkowsky V., Heidemann R., Butscher B., Löw R., Pfau T. Echo experiments in a strongly interacting Rydberg gas. Physical Review Letters 2008, 100:013002.
174. Read N., Green D. Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect. Physical Review B 2000, 61:10267-10297.
175. Reetz-Lamour M., Amthor T., Deiglmayr J., Weidemüller M. Rabi oscillations and excitation trapping in the coherent excitation of a mesoscopic frozen Rydberg gas. Physical Review Letters 2008, 100:253001.
176. Reichenbach I., Deutsch I.H. Sideband cooling while preserving coherences in the nuclear spin state in group-ii-like atoms. Physical Review Letters 2007, 99:123001.
177. Riebe M., Monz T., Kim K., Villar A.S., Schindler P., Chwalla M., et al. Deterministic entanglement swapping with an ion-trap quantum computer. Nature Physics 2008, 4:839.
178. Rigol M., Dunjko V., Olshanii M. Thermalization and its mechanism for generic isolated quantum systems. Nature 2008, 452:854-858.
179. Rokhsar D.S., Kivelson S.A. Superconductivity and the quantum hard-core dimer gas. Physical Review Letters 1988, 61:2376-2379.
180. Roncaglia M., Rizzi M., Cirac J.I. Pfaffian state generation by strong three-body dissipation. Physical Review Letters 2010, 104:096803.
181. Roos C.F. Ion trap quantum gates with amplitude-modulated laser beams. New Journal of Physics 2008, 10:013002.
182. Rudner M.S., Levitov L.S. Topological transition in a non-hermitian quantum walk. Physical Review Letters 2009, 102:065703.
183. Ryu S., Schnyder A., Furusaki A., Ludwig A.W.W. Topological insulators and superconductors: Ten-fold way and dimensional hierarchy. New Journal of Physics 2010, 12:065010.
184. Sachdev S. Quantum phase transitions. 1999, Cambridge University Press.
185. Sadler L.E., Higbie J.M., Leslie S.R., Vengalattore M., Stamper-Kurn D.M. Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose-Einstein condensate. Nature 2006, 443:312-315.
186. Saffman M., Walker T.G., Mølmer K. Quantum information with Rydberg atoms. Reviews of Modern Physics 2010, 82(3):2313.
187. Schachenmayer J., Lesanovsky I., Micheli A., Daley A.J. Dynamical crystal creation with polar molecules or Rydberg atoms in optical lattices. New Journal of Physics 2010, 12:103044.
188. Schindler P., Barreiro J.T., Monz T., Nebendahl V., Nigg D., Chwalla M., et al. Experimental repetitive quantum error correction. Science 2011, 332:1059-1061.
189. Schmid A. Diffusion and localization in a dissipative quantum system. Physical Review Letters 1983, 51:1506-1509.
190. Schmied R., Wesenberg J.H., Leibfried D. Optimal surface-electrode trap lattices for quantum simulation with trapped ions. Physical Review Letters 2009, 102:233002.
191. Schneider U., Hackermüller L., Will S., Best T., Bloch I., Costi T.A., et al. Metallic and insulating phases of repulsively interacting fermions in a 3d optical lattice. Science 2008, 322(5907):1520-1525.
192. Schneider C., Porras D., Schätz T. Experimental quantum simulations of many-body physics with trapped ions. Reports on Progress in Physics 2012, 75(2):024401.
193. Schollwöck U. The density-matrix renormalization group. Reviews of Modern Physics 2005, 77:259-315.
194. Shavitt I., Bartlett R.J. Many-body methods in chemistry and physics: MBPT and coupled-cluster theory. 2009, Cambridge University Press.
195. Sherson J.F., Weitenberg C., Endres M., Cheneau M., Bloch I., Kuhr S. Single-atom-resolved fluorescence imaging of an atomic Mott insulator. Nature 2010, 467:68.
196. Simon B. Holonomy, the quantum adiabatic theorem, and Berry's phase. Physical Review Letters 1983, 51:2167-2170.
197. Singer K., Reetz-Lamour M., Amthor T., Marcassa L.G., Weidemüller M. Suppression of excitation and spectral broadening induced by interactions in a cold gas of Rydberg atoms. Physical Review Letters 2004, 93:163001.
198. Sørensen A., Mølmer K. Spin-spin interaction and spin squeezing in an optical lattice. Physical Review Letters 1999, 83:2274-2277.
199. Steane A.M. Error correcting codes in quantum theory. Physical Review Letters 1996, 77(5):793.
200. Sun B., Robicheaux F. Numerical study of two-body correlation in a 1d lattice with perfect blockade. New Journal of Physics 2008, 10:045032.
201. Suzuki M. General theory of higher-order decomposition of exponential operators and symplectic integrators. Physics Letters A 1992, 165:387.
202. Syassen N., Bauer D.M., Lettner M., Volz T., Dietze D., García-Ripoll J.J., et al. Strong dissipation inhibits losses and induces correlations in cold molecular gases. Science 2008, 320:1329-1331.
203. Tomadin A., Diehl S., Zoller P. Nonequilibrium phase diagram of a driven and dissipative many-body system. Physical Review A 2011, 83:013611.
204. Tong D., Farooqi S.M., Stanojevic J., Krishnan S., Zhang Y.P., Côté R., et al. Local blockade of Rydberg excitation in an ultracold gas. Physical Review Letters 2004, 93:063001.
205. Trotzky, S., Chen, Y.-A., Flesch, A., McCulloch, I. P., Schollwöck, U., & Eisert, J. (2011). Probing the relaxation towards equilibrium in an isolated strongly correlated 1d Bose gas. Available from: . arxiv:1101.2659.
206. Urban E., Johnson T.A., Henage T., Isenhower L., Yavuz D.D., Walker T.G., et al. Observation of Rydberg blockade between two atoms. Nature Physics 2009, 5:110.
207. Vandersypen L.M.K., Chuang I.L. NMR techniques for quantum control and computation. Reviews of Modern Physics 2004, 76(4):1037.
208. Verstraete F., Wolf M.M., Cirac J.I. Quantum computation and quantum-state engineering driven by dissipation. Nature Physics 2009, 5(9):633.
209. Vidal J., Dusuel S., Schmidt K.P. Low-energy effective theory of the toric code model in a parallel magnetic field. Physical Review B 2009, 79:033109.
210. Viteau M., Bason M.G., Radogostowicz J., Malossi N., Ciampini D., Morsch O., et al. Rydberg excitations in Bose-Einstein condensates in quasi-one-dimensional potentials and optical lattices. Physical Review Letters 2011, 107:060402.
211. Vogt T., Viteau M., Zhao J., Chotia A., Comparat D., Pillet P. Dipole blockade at Förster resonances in high resolution laser excitation of Rydberg states of cesium atoms. Physical Review Letters 2006, 97:083003.
212. Walker T.G., Saffman M. Entanglement of two atoms using Rydberg blockade. Advances in Atomic, Molecular, and Optical Physics 2012, 61:81-115.
213. Weimer H., Löw R., Pfau T., Büchler H.P. Quantum critical behavior in strongly interacting Rydberg gases. Physical Review Letters 2008, 101:250601.
214. Weimer H., Müller M., Büchler H.P., Lesanovsky I. Digital quantum simulation with Rydberg atoms. Quantum Information Processing 2011, 10:885.
215. Weimer H., Müller M., Lesanovsky I., Zoller P., Büchler H.P. A Rydberg quantum simulator. Nature Physics 2010, 6:382-388.
216. Weitenberg C., Endres M., Sherson J.F., Cheneau M., Schausz P., Fukuhara T., et al. Single-spin addressing in an atomic Mott insulator. Nature 2011, 471(7338):319.
217. Wen X.-G. Quantum field theory of many-body systems: From the origin of sound to an origin of light and electrons. 2004, Oxford University Press.
218. Whitlock S., Gerritsma R., Fernholz T., Spreeuw R.J.C. Two-dimensional array of microtraps with atomic shift register on a chip. New Journal of Physics 2009, 11(2):023021.
219. Wilczek F., Zee A. Appearance of gauge structure in simple dynamical systems. Physical Review Letters 1984, 52:2111-2114.
220. Wilk T., Gaëtan A., Evellin C., Wolters J., Miroshnychenko Y., Grangier P., et al. Entanglement of two individual neutral atoms using Rydberg blockade. Physical Review Letters 2010, 104(1):010502.
221. Wiseman H.M., Milburn G.J. Quantum measurement and control. 2009, Cambridge University Press.
222. Wrachtrup J., Jelezko F. Processing quantum information in diamond. Journal of Physics - Condensed Matter 2006, 18:807.
223. Wu R., Pechen A., Brif C., Rabitz H. Controllability of open quantum systems with Kraus-map dynamics. Journal of Physics A: Mathematical and Theoretical 2007, 40(21):5681.
224. Ye J., Kimble H.J., Katori H. Quantum state engineering and precision metrology using state-insensitive light traps. Science 2008, 320:1734-1738.
225. Yi W., Diehl S., Daley A.J., Zoller P. Driven-dissipative many-body pairing states for cold fermionic atoms in an optical lattice. New Journal of Physics 2012, 14:055002.
226. Yukalov V.I. Cold bosons in optical lattices. Laser Physics 2009, 19(1):1-110.
227. Zhang F.C., Gros C., Rice T.M., Shiba H. A renormalised Hamiltonian approach to a resonant valence bond wavefunction. Superconductor Science and Technology 1988, 1:36.