Interaction between Atomic Ensembles and Optical Resonators. Classical Description

Advances in Atomic, Molecular and Optical Physics

Volumn 60, Issue , 2011, Pages 201-237

  Tanji Suzuki, Haruka ^a,b   Leroux, Ian D ^a   Schleier Smith, Monika H ^a   Cetina, Marko ^a   Grier, Andrew T ^a   Simon, Jonathan ^b   Vuletić, Vladan ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Atom light interaction; Cavity cooling; Cavity QED

Indexed keywords

EID: 80053538986     PISSN: 1049250X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/B978-0-12-385508-4.00004-8     Document Type: Chapter

References (122)

1. Agarwal G.S. Vacuum-field Rabi splittings in microwave absorption by Rydberg atoms in a cavity. Physical Review Letters 1984, 53:1732-1734.
2. Alsing P.M., Cardimona D.A., Carmichael H.J. Suppression of fluorescence in a lossless cavity. Physical Review A 1992, 45:1793-1803.
3. Appel J., Windpassinger P.J., Oblak D., Hoff U.B., Kjærgaard N., Polzik E.S. Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit. Proceedings of the National Academy of Sciences 2009, 106(27):10960-10965.
4. Baragiola B.Q., Chase B.A., Geremia JM Collective uncertainty in partially polarized and partially decohered spin-12 systems. Physical Review A 2010, 81:032104.
5. Baumann K., Guerlin C., Brennecke F., Esslinger T. Dicke quantum phase transition with a superfluid gas in an optical cavity. Nature 2010, 464:1301-1306.
6. Berman P.R., Boyd R.W., Milonni P.W. Polarizability and the optical theorem for a two-level atom with radiative broadening. Physical Review A 2006, 74:053816.
7. Birnbaum K.M., Boca A., Miller R., Boozer A.D., Northup T.E., Kimble H.J. Photon blockade in an optical cavity with one trapped atom. Nature 2005, 436:87.
8. Black A.T., Chan H.W., Vuletić V. Observation of collective friction forces due to spatial self-organization of atoms: from Rayleigh to Bragg scattering. Physical Review Letters 2003, 91:203001.
9. Black A.T., Thompson J.K., Vuletić V. Collective light forces on atoms in resonators. Journal of Physics B: Atomic, Molecular and Optical Physics 2005, 38:S605-S615.
10. Black A.T., Thompson J.K., Vuletić V. On-demand superradiant conversion of atomic spin gratings into single photons with high efficiency. Physical Review Letters 2005, 95:133601.
11. Boca A., Miller R., Birnbaum K.M., Boozer A.D., McKeever J., Kimble H.J. Observation of the vacuum Rabi spectrum for one trapped atom. Physical Review Letters 2004, 93:233603.
12. Bochmann J., Mücke M., Guhl C., Ritter S., Rempe G., Moehring D.L. Lossless state detection of single neutral atoms. Physical Review Letters 2010, 104:203601.
13. Boozer A.D., Boca A., Miller R., Northup T.E., Kimble H.J. Cooling to the ground state of axial motion for one atom strongly coupled to an optical cavity. Physical Review Letters 2006, 97:083602.
14. Boozer A.D., Boca A., Miller R., Northup T.E., Kimble H.J. Reversible state transfer between light and a single trapped atom. Physical Review Letters 2007, 98:193601.
15. Brahms N., Stamper-Kurn D.M. Spin optodynamics analog of cavity optomechanics. Physical Review A 2010, 82:041804(R).
16. Brennecke F., Donner T., Ritter S., Bourdel T., Köhl M., Esslinger T. Cavity QED with a Bose-Einstein condensate. Nature 2007, 450:268-271.
17. Cirac J.I., Lewenstein M., Zoller P. Laser cooling a trapped atom in a cavity: Bad-cavity limit. Physical Review A 1995, 51:1650.
18. Cirac J.I., Parkins A.S., Blatt R., Zoller P. Cooling of a trapped ion coupled strongly to a quantized cavity mode. Optics Communications 1993, 97:353.
19. Cirac J.I., Zoller P., Kimble H.J., Mabuchi H. Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Physical Review Letters 1997, 78:3221.
20. Cohen-Tannoudji C., Dupont-Roc J., Grynberg G. Atom-Photon Interactions: Basic Processes and Applications 1998, John Wiley & Sons, Inc, New York, NY.
21. Colombe Y., Steinmetz T., Dubois G., Linke F., Hunger D., Reichel J. Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip. Nature 2007, 450:272.
22. Dantan A., Pinard M., Berman P. EIT-assisted atomic squeezing. The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics 2003, 27:193-199.
23. Dantan A., Pinard M., Josse V., Nayak N., Berman P.R. Atomic spin squeezing in a Λ system. Physical Review A 2003, 67:045801.
24. Dicke R.H. Coherence in spontaneous radiation processes. Physical Review 1954, 93:99.
25. Domokos P., Horak P., Ritsch H. Semiclassical theory of cavity-assisted atom cooling. Journal of Physics B: Atomic, Molecular and Optical Physics 2001, 34:187.
26. Domokos P., Ritsch H. Collective cooling and self-organization of atoms in a cavity. Physical Review Letters 2002, 89:253003.
27. Dowling J.P. Spontaneous emission in cavities: how much more classical can you get?. Foundations of Physics 1993, 23:895.
28. Fernández-Vidal S., De Chiara G., Larson J., Morigi G. Quantum ground state of self-organized atomic crystals in optical resonators. Physical Review A 2010, 81:043407.
29. Feynman R.P., Leighton R.B., Sands M. The Feynman Lectures on Physics 1977, Addison Wesley, Reading, MA, (Vol. 1).
30. Field J.E. Vacuum-Rabi-splitting-induced transparency. Physical Review A 1993, 47:5064-5067.
31. Fischer T., Maunz P., Pinkse P.W.H., Puppe T., Rempe G. Feedback on the motion of a single atom in an optical cavity. Physical Review Letters 2002, 88:163002.
32. Gangl M., Ritsch H. Collective dynamical cooling of neutral particles in a high-Q optical cavity. Physical Review A 1999, 61:011402(R).
33. Gangl M., Ritsch H. Cold atoms in a high-Q ring cavity. Physical Review A 2000, 61:043405.
34. Gehr R., Volz J., Dubois G., Steinmetz T., Colombe Y., Lev B.L., et al. Cavity-based single atom preparation and high-fidelity hyperfine state readout. Physical Review Letters 2010, 104:203602.
35. Genes C., Berman P.R., Rojo A.G. Spin squeezing via atom-cavity field coupling. Physical Review A 2003, 68:043809.
36. Goy P., Raimond J.M., Gross M., Haroche S. Observation of cavity-enhanced single-atom spontaneous emission. Physical Review Letters 1983, 50:1903.
37. Grimm R., Weidemuller M., Ovchinnikov Y. Optical dipole traps for neutral atoms. Advances in Atomic, Molecular, and Optical Physics 2000, 42:95-170.
38. Gupta S., Moore K.L., Murch K.W., Stamper-Kurn D.M. Cavity nonlinear optics at low photon numbers from collective atomic motion. Physical Review Letters 2007, 99:213601.
39. Haroche S., Raimond J.M. Radiative properties of Rydberg states in resonant cavities. Advances in Atomic and Molecular Physics 1985, 20:347.
40. Haroche S., Raimond J.-M. Exploring the Quantum: Atoms, Cavities, and Photons (Oxford Graduate Texts) 2006, Oxford University Press, New York.
41. Harris S. Electromagnetically induced transparency. Physics Today 1997, 50(7):36-42.
42. Harris S.E. Lasers without inversion: Interference of lifetime-broadened resonances. Physical Review Letters 1989, 62:1033-1036.
43. Hechenblaikner G., Gangl M., Horak P., Ritsch H. Cooling an atom in a weakly driven high-Q cavity. Physical Review A 1998, 58:3030.
44. Heine D., Wilzbach M., Raub T., Hessmo B., Schmiedmayer J. Integrated atom detector: Single atoms and photon statistics. Physical Review A 2009, 79:021804(R).
45. Heinzen D.J., Childs J.J., Thomas J.E., Feld M.S. Enhanced and inhibited visible spontaneous emission by atoms in a confocal resonator. Physical Review Letters 1987, 58:1320.
46. Heinzen D.J., Feld M.S. Vacuum radiative level shift and spontaneous-emission linewidth of an atom in an optical resonator. Physical Review Letters 1987, 59:2623.
47. Hood C.J., Lynn T.W., Doherty A.C., Parkins A.S., Kimble H.J. The atom-cavity microscope: single atoms bound in orbit by single photons. Science 2000, 287:1447.
48. Hope J.J., Close J.D. Limit to minimally destructive optical detection of atoms. Physical Review Letters 2004, 93:180402.
49. Hope J.J., Close J.D. General limit to nondestructive optical detection of atoms. Physical Review A 2005, 71:043822.
50. Horak P., Hechenblaikner G., Gheri K.M., Stecher H., Ritsch H. Cavity-induced atom cooling in the strong coupling regime. Physical Review Letters 1997, 79:4974.
51. Horak P., Klappauf B.G., Haase A., Folman R., Schmiedmayer J., Domokos P., et al. Possibility of single-atom detection on a chip. Physical Review A 2003, 67:043806.
52. Jackson J.D. Classical Electrodynamics 1998, John Wiley and Sons, Inc, Hoboken, NJ.
53. Jaynes E.T., Cummings F.W. Comparison of quantum and semiclassical radiation theories with application to the beam maser. Proceedings of the IEEE 1963, 51:89-109.
54. Kaluzny Y., Goy P., Gross M., Raimond J.M., Haroche S. Observation of self-induced Rabi oscillations in two-level atoms excited inside a resonant cavity: The ringing regime of superradiance. Physical Review Letters 1983, 51:1175.
55. Keeling J., Bhaseen M.J., Simons B.D. Collective dynamics of Bose-Einstein condensates in optical cavities. Physical Review Letters 2010, 105:043001.
56. Kimble H.J. Strong interactions of single atoms and photons in cavity QED 1998, T76:127-137.
57. Kleppner D. Inhibited spontaneous emission. Physical Review Letters 1981, 47:233.
58. Koch M., Sames C., Kubanek A., Apel M., Balbach M., Ourjoumtsev A., et al. Feedback cooling of a single neutral atom. Physical Review Letters 2010, 105:173003.
59. Kogelnik H., Li T. Laser beams and resonators. Applied Optics 1966, 5:1550.
60. Kohnen M., Succo M., Petrov P.G., Nyman R.A., Trupke M., Hinds E.A. An array of integrated atom-photon junctions. Nature Photonics 2011, 5:35-38.
61. Kuhn A., Hennrich M., Rempe G. Deterministic single-photon source for distributed quantum networking. Physical Review Letters 2002, 89:067901.
62. Kuzmich A., Bigelow N.P., Mandel L. Atomic quantum non-demolition measurements and squeezing. Europhysics Letters 1998, 42(5):481-486.
63. Kuzmich A., Mandel L., Bigelow N.P. Generation of spin squeezing via continuous quantum nondemolition measurement. Physical Review Letters 2000, 85:1594.
64. Kuzmich A., MØlmer K., Polzik E.S. Spin squeezing in an ensemble of atoms illuminated with squeezed light. Physical Review Letters 1997, 79:4782-4785.
65. Legero T., Wilk T., Hennrich M., Rempe G., Kuhn A. Quantum beat of two single photons. Physical Review Letters 2004, 93:070503.
66. Leibrandt D.R., Labaziewicz J., Vuletić V., Chuang I.L. Cavity sideband cooling of a single trapped ion. Physical Review Letters 2009, 103:103001.
67. Leroux I.D., Schleier-Smith M.H., Vuletić V. Implementation of cavity squeezing of a collective atomic spin. Physical Review Letters 2010, 104:073602.
68. Leroux I.D., Schleier-Smith M.H., Vuletić V. Orientation-dependent entanglement lifetime in a squeezed atomic clock. Physical Review Letters 2010, 104:250801.
69. Lev B.L., Vukics A., Hudson E.R., Sawyer B.C., Domokos P., Ritsch H., et al. Prospects for the cavity-assisted laser cooling of molecules. Physical Review A 2008, 77:023402.
70. Litvak A.G., Tokman M.D. Electromagnetically induced transparency in ensembles of classical oscillators. Physical Review Letters 2002, 88:095003.
71. Lodewyck J., Westergaard P.G., Lemonde P. Nondestructive measurement of the transition probability in a Sr optical lattice clock. Physical Review A 2009, 79:061401(R).
72. Maunz P., Puppe T., Schuster I., Syassen N., Pinkse P.W.H., Rempe G. Cavity cooling of a single atom. Nature 2004, 428:50.
73. McKeever J., Boca A., Boozer A.D., Buck J.R., Kimble H.J. Experimental realization of a one-atom laser in the regime of strong coupling. Nature 2003, 425:268-271.
74. McKeever J., Boca A., Boozer A.D., Miller R., Buck J.R., Kuzmich A., et al. Deterministic generation of single photons from one atom trapped in a cavity. Science 2004, 303:1992.
75. McKeever J., Buck J.R., Boozer A.D., Kimble H.J. Determination of the number of atoms trapped in an optical cavity. Physical Review Letters 2004, 93:143601.
76. McKeever J., Buck J.R., Boozer A.D., Kuzmich A., Nägerl H.-C., Stamper-Kurn D.M., et al. State-insensitive cooling and trapping of single atoms in an optical cavity. Physical Review Letters 2003, 90:133602.
77. Mekhov I.B., Maschler C., Ritsch H. Cavity-enhanced light scattering in optical lattices to probe atomic quantum statistics. Physical Review Letters 2007, 98:100402.
78. Mekhov I.B., Ritsch H. Quantum nondemolition measurements and state preparation in quantum gases by light detection. Physical Review Letters 2009, 102:020403.
79. Mekhov I.B., Ritsch H. Quantum optics with quantum gases: Controlled state reduction by designed light scattering. Physical Review A 2009, 80:013604.
80. Meschede D., Walther H., Müller G. One-atom maser. Physical Review Letters 1985, 54:551.
81. Milonni P.W., Loudon R., Berman P.R., Barnett S.M. Linear polarizabilities of two- and three-level atoms. Physical Review A 2008, 77:043835.
82. Mollow B.R. Power spectrum of light scattered by two-level systems. Physical Review 1969, 188:1969-1975.
83. Morigi G., Pinkse P.W.H., Kowalewski M., de Vivie-Riedle R. Cavity cooling of internal molecular motion. Physical Review Letters 2007, 99:073001.
84. Mossberg T.W., Lewenstein M., Gauthier D.J. Trapping and cooling of atoms in a vacuum perturbed in a frequency-dependent manner. Physical Review Letters 1991, 67:1723.
85. Motsch M., Zeppenfeld M., Pinkse P.W.H., Rempe G. Cavity-enhanced Rayleigh scattering. New Journal of Physics 2010, 12(6):063022.
86. Münstermann P., Fischer T., Maunz P., Pinkse P.W.H., Rempe G. Dynamics of single-atom motion observed in a high-finesse cavity. Physical Review Letters 1999, 82:3791.
87. Murch K.W., Moore K.L., Gupta S., Stamper-Kurn D.M. Observation of quantum-measurement backaction with an ultracold atomic gas. Nature Physics 2008, 4:561-564.
88. Murr K. Large velocity capture range and low temperatures with cavities. Physical Review Letters 2006, 96:253001.
89. Nagy D., Kónya G., Szirmai G., Domokos P. Dicke-model phase transition in the quantum motion of a Bose-Einstein condensate in an optical cavity. Physical Review Letters 2010, 104:130401.
90. Nußmann S., Hijlkema M., Weber B., Rohde F., Rempe G., Kuhn A. Submicron positioning of single atoms in a microcavity. Physical Review Letters 2005, 95:173602.
91. Nußmann S., Murr K., Hijlkema M., Weber B., Kuhn A., Rempe G. Vacuum-stimulated cooling of single atoms in three dimensions. Nature Physics 2005, 1:122.
92. Pellizzari T., Gardiner S.A., Cirac J.I., Zoller P. Decoherence, continuous observation, and quantum computing: a cavity QED model. Physical Review Letters 1995, 75:3788.
93. Pinkse P.W.H., Fischer T., Maunz P., Rempe G. Trapping an atom with single photons. Nature 2000, 404:365.
94. Poldy R., Buchler B.C., Close J.D. Single-atom detection with optical cavities. Physical Review A 2008, 78:013640.
95. Puppe T., Schuster I., Grothe A., Kubanek A., Murr K., Pinkse P.W.H., et al. Trapping and observing single atoms in a blue-detuned intracavity dipole trap. Physical Review Letters 2007, 99:013002.
96. Purcell E.M. Spontaneous emission probabilities at radio frequencies. Physical Review 1946, 69:681.
97. Raimond J.M., Goy P., Gross M., Fabre C., Haroche S. Statistics of millimeter-wave photons emitted by a Rydberg-atom maser: An experimental study of fluctuations in single-mode superradiance. Physical Review Letters 1982, 49:1924-1927.
98. Raizen M.G., Thompson R.J., Brecha R.J., Kimble H.J., Carmichael H.J. Normal-mode splitting and linewidth averaging for two-state atoms in an optical cavity. Physical Review Letters 1989, 63:240-243.
99. Rempe G., Thompson R.J., Brecha R.J., Lee W.D., Kimble H.J. Optical bistability and photon statistics in cavity quantum electrodynamics. Physical Review Letters 1991, 67:1727.
100. Rice P.R., Brecha R.J. Cavity induced transparency. Optics Communications 1996, 126:230.
101. Schleier-Smith M.H., Leroux I.D., Vuletić V. Squeezing the collective spin of a dilute atomic ensemble by cavity feedback. Physical Review A 2010, 81(2):021804(R).
102. Schleier-Smith M.H., Leroux I.D., Vuletić V. States of an ensemble of two-level atoms with reduced quantum uncertainty. Physical Review Letters 2010, 104:073604.
103. Schuster I., Kubanek A., Fuhrmanek A., Puppe T., Pinkse P.W.H., Murr K., et al. Nonlinear spectroscopy of photons bound to one atom. Nature Physics 2008, 4:382-385.
104. Siegman A.E. Lasers 1986, University Science Books, Sausalito, CA.
105. Simon J., Tanji H., Ghosh S., Vuletić V. Single-photon bus connecting spin-wave quantum memories. Nature Physics 2007, 3:765.
106. Simon J., Tanji H., Thompson J.K., Vuletić V., et al. Interfacing collective atomic excitations and single photons. Physical Review Letters 2007, 98:183601.
107. Tanji H., Ghosh S., Simon J., Bloom B., Vuletić V. Heralded single-magnon quantum memory for photon polarization states. Physical Review Letters 2009, 103:043601.
108. Tavis M., Cummings F.W. Exact solution for an N-molecule-radiation-field Hamiltonian. Physical Review 1968, 170:379-384.
109. Teper I., Lin Y.-J., Vuletić V. Resonator-aided single-atom detection on a microfabricated chip. Physical Review Letters 2006, 97:023002.
110. Terraciano M.L., Olson Knell R., Norris D.G., Jing J., Fernández A., Orozco L.A. Photon burst detection of single atoms in an optical cavity. Nature Physics 2009, 5:480-484.
111. Thompson R.J., Rempe G., Kimble H.J. Observation of normal-mode splitting for an atom in an optical cavity. Physical Review Letters 1992, 68:1132.
112. Thompson J.K., Simon J., Loh H.-Q., Vuletić V. A high-brightness source of narrowband, identical-photon pairs. Science 2006, 313:74.
113. Trupke M., Goldwin J., Darquié B., Dutier G., Eriksson S., Ashmore J., et al. Atom detection and photon production in a scalable, open, optical microcavity. Physical Review Letters 2007, 99:063601.
114. Turchette Q.A., Hood C.J., Lange W., Mabuchi H., Kimble H.J. Measurement of conditional phase shifts for quantum logic. Physical Review Letters 1995, 75:4710-4713.
115. Vuletić V., Chan H.W., Black A.T. Three-dimensional cavity Doppler cooling and cavity sideband cooling by coherent scattering. Physical Review A 2001, 64(3):033405.
116. Vuletić V., Chu S. Laser cooling of atoms, ions, or molecules by coherent scattering. Physical Review Letters 2000, 84:3787.
117. Vuletić V., Thompson J.K., Black A.T., Simon J. External-feedback laser cooling of molecular gases. Physical Review A 2007, 75:051405(R).
118. Wilk T., Webster S.C., Kuhn A., Rempe G. Single-atom single-photon quantum interface. Science 2007, 317:488-490.
119. Wilzbach M., Heine D., Groth S., Liu X., Raub T., Hessmo B., et al. Simple integrated single-atom detector. Optics Letters 2009, 34:259-261.
120. Zhu Y., Gauthier D.J., Morin S.E., Wu Q., Carmichael H.J., Mossberg T.W. Vacuum Rabi splitting as a feature of linear-dispersion theory: Analysis and experimental observations. Physical Review Letters 1990, 64:2499.
121. Zippilli S., Morigi G. Cooling trapped atoms in optical resonators. Physical Review Letters 2005, 95:143001.
122. Zippilli S., Morigi G., Ritsch H. Suppression of Bragg scattering by collective interference of spatially ordered atoms with a high-Q cavity mode. Physical Review Letters 2004, 93:123002.