메뉴 건너뛰기




Volumn 112, Issue 12, 2015, Pages 3641-3646

Emergence of coherence and the dynamics of quantum phase transitions

Author keywords

Mott insulator; Nonequilibrium dynamics; Optical lattice; Quantum simulation; Ultracold atoms

Indexed keywords

ADIABATICITY; ARTICLE; DYNAMICS; ENTROPY; MAGNETIC FIELD; PHASE TRANSITION; PRIORITY JOURNAL; QUANTUM PHASE TRANSITION; SIMULATION; TEMPERATURE; THEORETICAL MODEL; VELOCITY;

EID: 84925434842     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1408861112     Document Type: Article
Times cited : (251)

References (55)
  • 1
    • 84924581223 scopus 로고    scopus 로고
    • Cambridge Univ Press, Cambridge, United Kingdom
    • Sachdev S (1999) Quantum Phase Transitions (Cambridge Univ Press, Cambridge, United Kingdom).
    • (1999) Quantum Phase Transitions
    • Sachdev, S.1
  • 2
    • 77952005640 scopus 로고    scopus 로고
    • Focus issue on quantum phase transitions
    • (2008) Focus issue on quantum phase transitions. Nat Phys 4(3):157-204.
    • (2008) Nat Phys , vol.4 , Issue.3 , pp. 157-204
  • 3
    • 80052710196 scopus 로고    scopus 로고
    • Nonequilibrium dynamics of closed interacting quantum systems
    • Polkovnikov A, Sengupta K, Silva A, Vengalattore M (2011) Nonequilibrium dynamics of closed interacting quantum systems. Rev Mod Phys 83(3):863-883.
    • (2011) Rev Mod Phys , vol.83 , Issue.3 , pp. 863-883
    • Polkovnikov, A.1    Sengupta, K.2    Silva, A.3    Vengalattore, M.4
  • 4
    • 0037965948 scopus 로고    scopus 로고
    • Disorder-induced rounding of certain quantum phase transitions
    • Vojta T (2003) Disorder-induced rounding of certain quantum phase transitions. Phys Rev Lett 90(10):107202.
    • (2003) Phys Rev Lett , vol.90 , Issue.10 , pp. 107202
    • Vojta, T.1
  • 5
    • 33645215486 scopus 로고
    • Boson localization and the superfluid-insulator transition
    • Fisher MPA, Weichman PB, Grinstein G, Fisher DS (1989) Boson localization and the superfluid-insulator transition. Phys Rev B 40(1):546-570.
    • (1989) Phys Rev B , vol.40 , Issue.1 , pp. 546-570
    • Fisher, M.P.A.1    Weichman, P.B.2    Grinstein, G.3    Fisher, D.S.4
  • 7
    • 0037011956 scopus 로고    scopus 로고
    • Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
    • Greiner M, Mandel O, Esslinger T, Hänsch TW, Bloch I (2002) Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms. Nature 415(6867):39-44.
    • (2002) Nature , vol.415 , Issue.6867 , pp. 39-44
    • Greiner, M.1    Mandel, O.2    Esslinger, T.3    Hänsch, T.W.4    Bloch, I.5
  • 8
    • 47749140681 scopus 로고    scopus 로고
    • Many-body physics with ultracold gases
    • Bloch I, Dalibard J, Zwerger W (2008) Many-body physics with ultracold gases. Rev Mod Phys 80(3):885-964.
    • (2008) Rev Mod Phys , vol.80 , Issue.3 , pp. 885-964
    • Bloch, I.1    Dalibard, J.2    Zwerger, W.3
  • 9
    • 84856157006 scopus 로고    scopus 로고
    • Light-cone-like spreading of correlations in a quantum many-body system
    • Cheneau M, et al. (2012) Light-cone-like spreading of correlations in a quantum many-body system. Nature 481(7382):484-487.
    • (2012) Nature , vol.481 , Issue.7382 , pp. 484-487
    • Cheneau, M.1
  • 10
    • 84861566869 scopus 로고    scopus 로고
    • Propagation front of correlations in an interacting Bose gas
    • Barmettler P, Poletti D, Cheneau M, Kollath C (2012) Propagation front of correlations in an interacting Bose gas. Phys Rev A 85(5):053625.
    • (2012) Phys Rev A , vol.85 , Issue.5 , pp. 053625
    • Barmettler, P.1    Poletti, D.2    Cheneau, M.3    Kollath, C.4
  • 11
    • 0011320769 scopus 로고
    • The finite group velocity of quantum spin systems
    • Lieb EH, Robinson DW (1972) The finite group velocity of quantum spin systems. Commun Math Phys 28(3):251-257.
    • (1972) Commun Math Phys , vol.28 , Issue.3 , pp. 251-257
    • Lieb, E.H.1    Robinson, D.W.2
  • 12
    • 77957947175 scopus 로고    scopus 로고
    • Dynamics of a quantum phase transition and relaxation to a steady state
    • Dziarmaga J (2010) Dynamics of a quantum phase transition and relaxation to a steady state. Adv Phys 59(6):1063-1189.
    • (2010) Adv Phys , vol.59 , Issue.6 , pp. 1063-1189
    • Dziarmaga, J.1
  • 13
    • 84865201803 scopus 로고    scopus 로고
    • Kibble-Zurek problem: Universality and the scaling limit
    • Chandran A, Erez A, Gubser SS, Sondhi SL (2012) Kibble-Zurek problem: Universality and the scaling limit. Phys Rev B 86(6):064304.
    • (2012) Phys Rev B , vol.86 , Issue.6 , pp. 064304
    • Chandran, A.1    Erez, A.2    Gubser, S.S.3    Sondhi, S.L.4
  • 14
    • 33751088298 scopus 로고    scopus 로고
    • Sweeping from the superfluid to the Mott phase in the Bose-Hubbard model
    • Schützhold R, Uhlmann M, Xu Y, Fischer UR (2006) Sweeping from the superfluid to the Mott phase in the Bose-Hubbard model. Phys Rev Lett 97(20):200601.
    • (2006) Phys Rev Lett , vol.97 , Issue.20 , pp. 200601
    • Schützhold, R.1    Uhlmann, M.2    Xu, Y.3    Fischer, U.R.4
  • 15
    • 29644438531 scopus 로고    scopus 로고
    • Universal adiabatic dynamics in the vicinity of a quantum critical point
    • Polkovnikov A (2005) Universal adiabatic dynamics in the vicinity of a quantum critical point. Phys Rev B 72(16):161201.
    • (2005) Phys Rev B , vol.72 , Issue.16 , pp. 161201
    • Polkovnikov, A.1
  • 17
    • 84863451400 scopus 로고    scopus 로고
    • Nonequilibrium dynamic critical scaling of the quantum Ising chain
    • Kolodrubetz M, Clark BK, Huse DA (2012) Nonequilibrium dynamic critical scaling of the quantum Ising chain. Phys Rev Lett 109(1):015701.
    • (2012) Phys Rev Lett , vol.109 , Issue.1 , pp. 015701
    • Kolodrubetz, M.1    Clark, B.K.2    Huse, D.A.3
  • 18
    • 33646343964 scopus 로고    scopus 로고
    • Entropy and correlation functions of a driven quantum spin chain
    • Cherng RW, Levitov LS (2006) Entropy and correlation functions of a driven quantum spin chain. Phys Rev A 73(4):043614.
    • (2006) Phys Rev A , vol.73 , Issue.4 , pp. 043614
    • Cherng, R.W.1    Levitov, L.S.2
  • 19
    • 79051471293 scopus 로고    scopus 로고
    • Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
    • Deng S, Ortiz G, Viola L (2008) Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions. Eur Phys Lett 84(6):67008.
    • (2008) Eur Phys Lett , vol.84 , Issue.6 , pp. 67008
    • Deng, S.1    Ortiz, G.2    Viola, L.3
  • 20
    • 27144451985 scopus 로고    scopus 로고
    • Dynamics of a quantum phase transition
    • Zurek WH, Dorner U, Zoller P (2005) Dynamics of a quantum phase transition. Phys Rev Lett 95(10):105701.
    • (2005) Phys Rev Lett , vol.95 , Issue.10 , pp. 105701
    • Zurek, W.H.1    Dorner, U.2    Zoller, P.3
  • 21
    • 0009529936 scopus 로고
    • Some implications of a cosmological phase transition
    • Kibble TWB (1980) Some implications of a cosmological phase transition. Phys Rep 67(1):183-199.
    • (1980) Phys Rep , vol.67 , Issue.1 , pp. 183-199
    • Kibble, T.W.B.1
  • 22
    • 18244380121 scopus 로고
    • Cosmological experiments in superfluid helium?
    • Zurek WH (1985) Cosmological experiments in superfluid helium? Nature 317(6037):505-508.
    • (1985) Nature , vol.317 , Issue.6037 , pp. 505-508
    • Zurek, W.H.1
  • 23
    • 84896937575 scopus 로고    scopus 로고
    • Universality of phase transition dynamics: Topological defects from symmetry breaking
    • del Campo A, Zurek WH (2014) Universality of phase transition dynamics: Topological defects from symmetry breaking. Int J Mod Phys A 29(08):1430018.
    • (2014) Int J Mod Phys A , vol.29 , Issue.8 , pp. 1430018
    • Del Campo, A.1    Zurek, W.H.2
  • 24
    • 84871891469 scopus 로고    scopus 로고
    • Negative absolute temperature for motional degrees of freedom
    • Braun S, et al. (2013) Negative absolute temperature for motional degrees of freedom. Science 339(6115):52-55.
    • (2013) Science , vol.339 , Issue.6115 , pp. 52-55
    • Braun, S.1
  • 25
    • 68849131445 scopus 로고    scopus 로고
    • Observation of an Efimov spectrum in an atomic system
    • Zaccanti M, et al. (2009) Observation of an Efimov spectrum in an atomic system. Nat Phys 5(8):586-591.
    • (2009) Nat Phys , vol.5 , Issue.8 , pp. 586-591
    • Zaccanti, M.1
  • 26
    • 79960646300 scopus 로고    scopus 로고
    • Quantum quench of an atomic Mott insulator
    • Chen D, White M, Borries C, DeMarco B (2011) Quantum quench of an atomic Mott insulator. Phys Rev Lett 106(23):235304.
    • (2011) Phys Rev Lett , vol.106 , Issue.23 , pp. 235304
    • Chen, D.1    White, M.2    Borries, C.3    DeMarco, B.4
  • 27
    • 77955103235 scopus 로고    scopus 로고
    • Probing the superfluid-to-Mott insulator transition at the single-atom level
    • Bakr WS, et al. (2010) Probing the superfluid-to-Mott insulator transition at the single-atom level. Science 329(5991):547-550.
    • (2010) Science , vol.329 , Issue.5991 , pp. 547-550
    • Bakr, W.S.1
  • 28
    • 79955372731 scopus 로고    scopus 로고
    • Exploring quantum criticality based on ultracold atoms in optical lattices
    • Zhang X, Hung CL, Tung SK, Gemelke N, Chin C (2011) Exploring quantum criticality based on ultracold atoms in optical lattices. New J Phys 13(4):045011.
    • (2011) New J Phys , vol.13 , Issue.4 , pp. 045011
    • Zhang, X.1    Hung, C.L.2    Tung, S.K.3    Gemelke, N.4    Chin, C.5
  • 29
    • 84862778005 scopus 로고    scopus 로고
    • Observation of quantum criticality with ultracold atoms in optical lattices
    • Zhang X, Hung CL, Tung SK, Chin C (2012) Observation of quantum criticality with ultracold atoms in optical lattices. Science 335(6072):1070-1072.
    • (2012) Science , vol.335 , Issue.6072 , pp. 1070-1072
    • Zhang, X.1    Hung, C.L.2    Tung, S.K.3    Chin, C.4
  • 30
    • 33748939585 scopus 로고    scopus 로고
    • Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose-Einstein condensate
    • Sadler LE, Higbie JM, Leslie SR, Vengalattore M, Stamper-Kurn DM (2006) Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose-Einstein condensate. Nature 443(7109):312-315.
    • (2006) Nature , vol.443 , Issue.7109 , pp. 312-315
    • Sadler, L.E.1    Higbie, J.M.2    Leslie, S.R.3    Vengalattore, M.4    Stamper-Kurn, D.M.5
  • 31
    • 84876135838 scopus 로고    scopus 로고
    • Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model
    • Carrasquilla J, Manmana SR, Rigol M (2013) Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid-to-Mott-insulator transition in the one-dimensional Bose-Hubbard model. Phys Rev A 87(4):043606.
    • (2013) Phys Rev A , vol.87 , Issue.4 , pp. 043606
    • Carrasquilla, J.1    Manmana, S.R.2    Rigol, M.3
  • 32
    • 84859119903 scopus 로고    scopus 로고
    • Slow quench dynamics of Mott-insulating regions in a trapped Bose gas
    • Bernier JS, Poletti D, Barmettler P, Roux G, Kollath C (2012) Slow quench dynamics of Mott-insulating regions in a trapped Bose gas. Phys Rev A 85(3):033641.
    • (2012) Phys Rev A , vol.85 , Issue.3 , pp. 033641
    • Bernier, J.S.1    Poletti, D.2    Barmettler, P.3    Roux, G.4    Kollath, C.5
  • 33
    • 79952903191 scopus 로고    scopus 로고
    • Local versus global equilibration near the bosonic Mott-insulator-superfluid transition
    • Natu SS, Hazzard KRA, Mueller EJ (2011) Local versus global equilibration near the bosonic Mott-insulator-superfluid transition. Phys Rev Lett 106(12):125301.
    • (2011) Phys Rev Lett , vol.106 , Issue.12 , pp. 125301
    • Natu, S.S.1    Hazzard, K.R.A.2    Mueller, E.J.3
  • 34
    • 78650755970 scopus 로고    scopus 로고
    • The density-matrix renormalization group in the age of matrix product states
    • Schollwöck U (2011) The density-matrix renormalization group in the age of matrix product states. Ann Phys 326(1):96-192.
    • (2011) Ann Phys , vol.326 , Issue.1 , pp. 96-192
    • Schollwöck, U.1
  • 35
    • 84925381411 scopus 로고    scopus 로고
    • Available at physics.mines.edu/downloads/software/tebd. Accessed December 2, 2013
    • Wall ML, Carr LD (2009) Open Source TEBD. Available at physics.mines.edu/downloads/software/tebd. Accessed December 2, 2013.
    • (2009) Open Source TEBD
    • Wall, M.L.1    Carr, L.D.2
  • 36
    • 33645521989 scopus 로고    scopus 로고
    • Time dependence of correlation functions following a quantum quench
    • Calabrese P, Cardy J (2006) Time dependence of correlation functions following a quantum quench. Phys Rev Lett 96(13):136801.
    • (2006) Phys Rev Lett , vol.96 , Issue.13 , pp. 136801
    • Calabrese, P.1    Cardy, J.2
  • 37
    • 38549171333 scopus 로고    scopus 로고
    • Exact relaxation in a class of nonequilibrium quantum lattice systems
    • Cramer M, Dawson CM, Eisert J, Osborne TJ (2008) Exact relaxation in a class of nonequilibrium quantum lattice systems. Phys Rev Lett 100(3):030602.
    • (2008) Phys Rev Lett , vol.100 , Issue.3 , pp. 030602
    • Cramer, M.1    Dawson, C.M.2    Eisert, J.3    Osborne, T.J.4
  • 38
    • 33750006566 scopus 로고    scopus 로고
    • General entanglement scaling laws from time evolution
    • Eisert J, Osborne TJ (2006) General entanglement scaling laws from time evolution. Phys Rev Lett 97(15):150404.
    • (2006) Phys Rev Lett , vol.97 , Issue.15 , pp. 150404
    • Eisert, J.1    Osborne, T.J.2
  • 39
    • 33746640926 scopus 로고    scopus 로고
    • Lieb-Robinson bounds and the generation of correlations and topological quantum order
    • Bravyi S, Hastings MB, Verstraete F (2006) Lieb-Robinson bounds and the generation of correlations and topological quantum order. Phys Rev Lett 97(5):050401.
    • (2006) Phys Rev Lett , vol.97 , Issue.5 , pp. 050401
    • Bravyi, S.1    Hastings, M.B.2    Verstraete, F.3
  • 41
    • 44949151518 scopus 로고    scopus 로고
    • Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
    • Läuchli A, Kollath C (2008) Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model. J Stat Mech 2008(05):P05018.
    • (2008) J Stat Mech , vol.2008 , Issue.5 , pp. P05018
    • Läuchli, A.1    Kollath, C.2
  • 42
    • 4243828048 scopus 로고
    • Quantum critical phenomena in one-dimensional Bose systems
    • Batrouni GG, Scalettar RT, Zimanyi GT (1990) Quantum critical phenomena in one-dimensional Bose systems. Phys Rev Lett 65(14):1765-1768.
    • (1990) Phys Rev Lett , vol.65 , Issue.14 , pp. 1765-1768
    • Batrouni, G.G.1    Scalettar, R.T.2    Zimanyi, G.T.3
  • 43
    • 33846817473 scopus 로고    scopus 로고
    • Dynamics of the Bose-Hubbard model: Transition from a Mott insulator to a superfluid
    • Cucchietti FM, Damski B, Dziarmaga J, Zurek WH (2007) Dynamics of the Bose-Hubbard model: Transition from a Mott insulator to a superfluid. Phys Rev A 75(2):023603.
    • (2007) Phys Rev A , vol.75 , Issue.2 , pp. 023603
    • Cucchietti, F.M.1    Damski, B.2    Dziarmaga, J.3    Zurek, W.H.4
  • 44
    • 84905457022 scopus 로고    scopus 로고
    • Quench in 1D Bose-Hubbard model: Topological defects and excitations from Kosterlitz-Thouless phase transition dynamics
    • Dziarmaga J, Zurek WH (2014) Quench in 1D Bose-Hubbard model: Topological defects and excitations from Kosterlitz-Thouless phase transition dynamics. Sci Rep 4:5950.
    • (2014) Sci Rep , vol.4 , pp. 5950
    • Dziarmaga, J.1    Zurek, W.H.2
  • 45
    • 84881460843 scopus 로고    scopus 로고
    • Observation of the Kibble-Zurek scaling law for defect formation in ion crystals
    • Ulm S, et al. (2013) Observation of the Kibble-Zurek scaling law for defect formation in ion crystals. Nat Commun 4:2290.
    • (2013) Nat Commun , vol.4 , pp. 2290
    • Ulm, S.1
  • 46
    • 84881441632 scopus 로고    scopus 로고
    • Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals
    • Pyka K, et al. (2013) Topological defect formation and spontaneous symmetry breaking in ion Coulomb crystals. Nat Commun 4:2291.
    • (2013) Nat Commun , vol.4 , pp. 2291
    • Pyka, K.1
  • 47
    • 33947251725 scopus 로고    scopus 로고
    • Vortex formation by merging of multiple trapped Bose-Einstein condensates
    • Scherer DR, Weiler CN, Neely TW, Anderson BP (2007) Vortex formation by merging of multiple trapped Bose-Einstein condensates. Phys Rev Lett 98(11):110402.
    • (2007) Phys Rev Lett , vol.98 , Issue.11 , pp. 110402
    • Scherer, D.R.1    Weiler, C.N.2    Neely, T.W.3    Anderson, B.P.4
  • 48
    • 84885429121 scopus 로고    scopus 로고
    • Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
    • Lamporesi G, Donadello S, Serafini S, Dalfovo F, Ferrari G (2013) Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate. Nat Phys 9(10):656-660.
    • (2013) Nat Phys , vol.9 , Issue.10 , pp. 656-660
    • Lamporesi, G.1    Donadello, S.2    Serafini, S.3    Dalfovo, F.4    Ferrari, G.5
  • 49
    • 27144542647 scopus 로고    scopus 로고
    • Atomic gases at negative kinetic temperature
    • Mosk AP (2005) Atomic gases at negative kinetic temperature. Phys Rev Lett 95(4):040403.
    • (2005) Phys Rev Lett , vol.95 , Issue.4 , pp. 040403
    • Mosk, A.P.1
  • 50
    • 78649347658 scopus 로고    scopus 로고
    • Equilibration rates and negative absolute temperatures for ultracold atoms in optical lattices
    • Rapp A, Mandt S, Rosch A (2010) Equilibration rates and negative absolute temperatures for ultracold atoms in optical lattices. Phys Rev Lett 105(22):220405.
    • (2010) Phys Rev Lett , vol.105 , Issue.22 , pp. 220405
    • Rapp, A.1    Mandt, S.2    Rosch, A.3
  • 51
    • 84861650769 scopus 로고    scopus 로고
    • Preparation and spectroscopy of a metastable Mott-insulator state with attractive interactions
    • Mark MJ, et al. (2012) Preparation and spectroscopy of a metastable Mott-insulator state with attractive interactions. Phys Rev Lett 108(21):215302.
    • (2012) Phys Rev Lett , vol.108 , Issue.21 , pp. 215302
    • Mark, M.J.1
  • 52
    • 49149102932 scopus 로고    scopus 로고
    • Self-trapping of bosons and fermions in optical lattices
    • Lühmann DS, Bongs K, Sengstock K, Pfannkuche D (2008) Self-trapping of bosons and fermions in optical lattices. Phys Rev Lett 101(5):050402.
    • (2008) Phys Rev Lett , vol.101 , Issue.5 , pp. 050402
    • Lühmann, D.S.1    Bongs, K.2    Sengstock, K.3    Pfannkuche, D.4
  • 53
    • 60149102465 scopus 로고    scopus 로고
    • Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3D optical lattice
    • Best T, et al. (2009) Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3D optical lattice. Phys Rev Lett 102(3):030408.
    • (2009) Phys Rev Lett , vol.102 , Issue.3 , pp. 030408
    • Best, T.1
  • 54
    • 54249122075 scopus 로고    scopus 로고
    • Expansion of a quantum gas released from an optical lattice
    • Gerbier F, et al. (2008) Expansion of a quantum gas released from an optical lattice. Phys Rev Lett 101(15):155303.
    • (2008) Phys Rev Lett , vol.101 , Issue.15 , pp. 155303
    • Gerbier, F.1
  • 55
    • 47749143684 scopus 로고    scopus 로고
    • Theory of correlations between ultracold bosons released from an optical lattice
    • Toth E, Rey AM, Blakie PB (2008) Theory of correlations between ultracold bosons released from an optical lattice. Phys Rev A 78(1):013627.
    • (2008) Phys Rev A , vol.78 , Issue.1 , pp. 013627
    • Toth, E.1    Rey, A.M.2    Blakie, P.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.