메뉴 건너뛰기




Volumn 83, Issue 9, 2011, Pages

Quantum quenches, thermalization, and many-body localization

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79960622780     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.094431     Document Type: Article
Times cited : (170)

References (55)
  • 1
    • 0003095621 scopus 로고
    • 1434-6001 10.1007/BF01339852
    • J. von Neumann, Z. Phys. 1434-6001 10.1007/BF01339852 57, 30 (1929).
    • (1929) Z. Phys. , vol.57 , pp. 30
    • Von Neumann, J.1
  • 2
    • 0042077090 scopus 로고
    • EPJAFV 1434-6001 10.1007/BF01339897
    • W. Pauli and M. Fierz, Z. Phys. EPJAFV 1434-6001 10.1007/BF01339897 106, 572 (1937).
    • (1937) Z. Phys. , vol.106 , pp. 572
    • Pauli, W.1    Fierz, M.2
  • 3
    • 36849045071 scopus 로고
    • PHYSAG 0031-8914 10.1016/0031-8914(69)90185-2
    • P. Mazur, Physica PHYSAG 0031-8914 10.1016/0031-8914(69)90185-2 43, 533 (1968);
    • (1968) Physica , vol.43 , pp. 533
    • Mazur, P.1
  • 4
    • 0014540597 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.23.114
    • E. Barouch and M. Dresden, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.23.114 23, 114 (1969);
    • (1969) Phys. Rev. Lett. , vol.23 , pp. 114
    • Barouch, E.1    Dresden, M.2
  • 5
    • 36849057498 scopus 로고
    • PHYSAG 0031-8914 10.1016/0031-8914(71)90226-6
    • M. Suzuki, Physica PHYSAG 0031-8914 10.1016/0031-8914(71)90226-6 51, 277 (1970).
    • (1970) Physica , vol.51 , pp. 277
    • Suzuki, M.1
  • 6
    • 4243440718 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.30.504
    • A. Peres, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.30.504 30, 504 (1984).
    • (1984) Phys. Rev. A , vol.30 , pp. 504
    • Peres, A.1
  • 7
    • 0039300296 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.43.2046
    • J. M. Deutsch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.2046 43, 2046 (1991);
    • (1991) Phys. Rev. A , vol.43 , pp. 2046
    • Deutsch, J.M.1
  • 8
    • 4243410292 scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.50.888
    • M. Srednicki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.50.888 50, 888 (1994).
    • (1994) Phys. Rev. e , vol.50 , pp. 888
    • Srednicki, M.1
  • 9
    • 0001001954 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.64.2563
    • S. A. Berg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.2563 64, 3119 (1990);
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 3119
    • Berg, S.A.1
  • 10
    • 0031559782 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.79.1837
    • Ph. Jacquod and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1837 79, 1837 (1997);
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 1837
    • Jacquod, Ph.1    Shepelyansky, D.L.2
  • 12
    • 33645876470 scopus 로고    scopus 로고
    • NATUAS 0028-0836 10.1038/nature04693
    • T. Kinoshita, T. Wenger, and D. S. Weiss, Nature NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
    • (2006) Nature , vol.440 , pp. 900
    • Kinoshita, T.1    Wenger, T.2    Weiss, D.S.3
  • 13
    • 33846840504 scopus 로고    scopus 로고
    • Relaxation in a completely integrable many-body Quantum system: An Ab initio study of the dynamics of the highly excited states of 1D lattice hard-core bosons
    • DOI 10.1103/PhysRevLett.98.050405
    • M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.050405 98, 050405 (2007). (Pubitemid 46203541)
    • (2007) Physical Review Letters , vol.98 , Issue.5 , pp. 050405
    • Rigol, M.1    Dunjko, V.2    Yurovsky, V.3    Olshanii, M.4
  • 14
    • 33749990876 scopus 로고    scopus 로고
    • Effect of suddenly turning on interactions in the Luttinger model
    • DOI 10.1103/PhysRevLett.97.156403
    • M. A. Cazalilla, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 97.156403 97, 156403 (2006); (Pubitemid 44570421)
    • (2006) Physical Review Letters , vol.97 , Issue.15 , pp. 156403
    • Cazalilla, M.A.1
  • 15
    • 33645521989 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.96.136801
    • P. Calabrese and J. Cardy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.136801 96, 136801 (2006);
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 136801
    • Calabrese, P.1    Cardy, J.2
  • 16
    • 34548672404 scopus 로고    scopus 로고
    • PRLTAO 1742-5468 10.1088/1742-5468/2007/06/P06008
    • P. Calabrese and J. Cardy, J. Stat. Mech. PRLTAO 1742-5468 10.1088/1742-5468/2007/06/P06008 (2007) P06008;
    • (2007) J. Stat. Mech. , pp. 06008
    • Calabrese, P.1    Cardy, J.2
  • 17
    • 38549171333 scopus 로고    scopus 로고
    • Exact relaxation in a class of nonequilibrium quantum lattice systems
    • DOI 10.1103/PhysRevLett.100.030602
    • M. Cramer, C. M. Dawson, J. Eisert, and T. J. Osborne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030602 100, 030602 (2008); (Pubitemid 351161771)
    • (2008) Physical Review Letters , vol.100 , Issue.3 , pp. 030602
    • Cramer, M.1    Dawson, C.M.2    Eisert, J.3    Osborne, T.J.4
  • 18
    • 40849083709 scopus 로고    scopus 로고
    • Dephasing and the steady state in quantum many-particle systems
    • DOI 10.1103/PhysRevLett.100.100601
    • T. Barthel and U. Schollwöck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.100601 100, 100601 (2008); (Pubitemid 351399128)
    • (2008) Physical Review Letters , vol.100 , Issue.10 , pp. 100601
    • Barthel, T.1    Schollwock, U.2
  • 19
    • 41549142309 scopus 로고    scopus 로고
    • Nonthermal steady states after an interaction quench in the Falicov-Kimball model
    • DOI 10.1103/PhysRevLett.100.120404
    • M. Eckstein and M. Kollar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.120404 100, 120404 (2008); (Pubitemid 351465915)
    • (2008) Physical Review Letters , vol.100 , Issue.12 , pp. 120404
    • Eckstein, M.1    Kollar, M.2
  • 21
    • 77953033198 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/12/5/055015
    • D. Fioretto and G. Mussardo, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/055015 12, 055015 (2010).
    • (2010) New J. Phys. , vol.12 , pp. 055015
    • Fioretto, D.1    Mussardo, G.2
  • 22
    • 42249112261 scopus 로고    scopus 로고
    • Thermalization and its mechanism for generic isolated quantum systems
    • DOI 10.1038/nature06838, PII NATURE06838
    • M. Rigol, V. Dunjko, and M. Olshanii, Nature London NATUAS 0028-0836 10.1038/nature06838 452, 854 (2008); (Pubitemid 351550863)
    • (2008) Nature , vol.452 , Issue.7189 , pp. 854-858
    • Rigol, M.1    Dunjko, V.2    Olshanii, M.3
  • 23
    • 69749124325 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.100403
    • M. Rigol, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103. 100403 103, 100403 (2009);
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 100403
    • Rigol, M.1
  • 24
    • 77954842602 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.82.011604
    • M. Rigol and L. F. Santos, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.011604 82, 011604 (R) (2010).
    • (2010) Phys. Rev. A , vol.82 , pp. 011604
    • Rigol, M.1    Santos, L.F.2
  • 25
    • 34247866257 scopus 로고    scopus 로고
    • Quench dynamics and nonequilibrium phase diagram of the Bose-Hubbard model
    • DOI 10.1103/PhysRevLett.98.180601
    • C. Kollath, A. M. Läuchli, and E. Altman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.180601 98, 180601 (2007); (Pubitemid 46693406)
    • (2007) Physical Review Letters , vol.98 , Issue.18 , pp. 180601
    • Kollath, C.1    Lauchli, A.M.2    Altman, E.3
  • 26
    • 34547354363 scopus 로고    scopus 로고
    • Strongly correlated fermions after a quantum quench
    • DOI 10.1103/PhysRevLett.98.210405
    • S. R. Manmana, S. Wessel, R. M. Noack, and A. Silva A. Muramatsu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.210405 98, 210405 (2007); (Pubitemid 47139673)
    • (2007) Physical Review Letters , vol.98 , Issue.21 , pp. 210405
    • Manmana, S.R.1    Wessel, S.2    Noack, R.M.3    Muramatsu, A.4
  • 27
    • 68649126068 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.103.056403
    • M. Eckstein, M. Kollar, and P. Werner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.056403 103, 056403 (2009).
    • (2009) Phys. Rev. Lett. , vol.103 , pp. 056403
    • Eckstein, M.1    Kollar, M.2    Werner, P.3
  • 28
    • 62549165858 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.79.021608
    • G. Roux, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.021608 79, 021608 (R) (2009);
    • (2009) Phys. Rev. A , vol.79 , pp. 021608
    • Roux, G.1
  • 29
    • 78650101606 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.105.250401
    • G. Biroli, C. Kollath, and A. M. Läuchli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.250401 105, 250401 (2010).
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 250401
    • Biroli, G.1    Kollath, C.2    Läuchli, A.M.3
  • 32
    • 33645787826 scopus 로고    scopus 로고
    • Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
    • DOI 10.1016/j.aop.2005.11.014, PII S0003491605002630
    • D. M. Basko, I. L. Aleiner, and B. L. Altshuler, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2005.11.014 321, 1126 (2006). (Pubitemid 43560343)
    • (2006) Annals of Physics , vol.321 , Issue.5 , pp. 1126-1205
    • Basko, D.M.1    Aleiner, I.L.2    Altshuler, B.L.3
  • 33
    • 28844437131 scopus 로고    scopus 로고
    • Interacting electrons in disordered wires: Anderson localization and low-T transport
    • DOI 10.1103/PhysRevLett.95.206603, 206603
    • I. V. Gornyi, A. D. Mirlin, and D. G. Polyakov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.206603 95, 206603 (2005). (Pubitemid 41777142)
    • (2005) Physical Review Letters , vol.95 , Issue.20 , pp. 1-4
    • Gornyi, I.V.1    Mirlin, A.D.2    Polyakov, D.G.3
  • 35
    • 0000859478 scopus 로고
    • JCPSA6 0021-9606 10.1063/1.458637
    • D. E. Logan and P. G. Wolynes, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.458637 93, 4994 (1990).
    • (1990) J. Chem. Phys. , vol.93 , pp. 4994
    • Logan, D.E.1    Wolynes, P.G.2
  • 36
    • 78649646838 scopus 로고    scopus 로고
    • JCPSA6 1098-0121 10.1103/PhysRevB.82.174411
    • A. Pal and D. A. Huse, Phys. Rev. B JCPSA6 1098-0121 10.1103/PhysRevB.82. 174411 82, 174411 (2010).
    • (2010) Phys. Rev. B , vol.82 , pp. 174411
    • Pal, A.1    Huse, D.A.2
  • 37
    • 40949110684 scopus 로고    scopus 로고
    • Aek, JCPSA6 1098-0121 10.1103/PhysRevB.77.064426
    • M. Žnidarič, T. Prosen, and P. Prelov Aek, Phys. Rev. B JCPSA6 1098-0121 10.1103/PhysRevB.77.064426 77, 064426 (2008).
    • (2008) Phys. Rev. B , vol.77 , pp. 064426
    • Žnidarič, M.1    Prosen, T.2    Prelov, P.3
  • 38
    • 34247463673 scopus 로고    scopus 로고
    • JCPSA6 1098-0121 10.1103/PhysRevB.75.155111
    • V. Oganesyan and D. A. Huse, Phys. Rev. B JCPSA6 1098-0121 10.1103/PhysRevB.75.155111 75, 155111 (2007);
    • (2007) Phys. Rev. B , vol.75 , pp. 155111
    • Oganesyan, V.1    Huse, D.A.2
  • 39
    • 70350580383 scopus 로고    scopus 로고
    • PLRBAQ 1098-0121 10.1103/PhysRevB.80.115104
    • V. Oganesyan, A. Pal, and D. A. Huse, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.80.115104 80, 115104 (2009).
    • (2009) Phys. Rev. B , vol.80 , pp. 115104
    • Oganesyan, V.1    Pal, A.2    Huse, D.A.3
  • 40
    • 79961038304 scopus 로고    scopus 로고
    • Localization is intended in the space of quasi-particles, and not necessarily in real space.
    • Localization is intended in the space of quasi-particles, and not necessarily in real space.
  • 41
    • 0000450808 scopus 로고
    • 0305-4470 10.1088/0305-4470/10/12/016
    • M. V. Berry, J. Phys. A: Math. Gen. 0305-4470 10.1088/0305-4470/10/12/016 10, 2083 (1977).
    • (1977) J. Phys. A: Math. Gen. , vol.10 , pp. 2083
    • Berry, M.V.1
  • 42
    • 79961034376 scopus 로고    scopus 로고
    • Notice that in general it is possible to have non-ergodic, but extended states (see references. 16 and references therein).
    • Notice that in general it is possible to have non-ergodic, but extended states (see references. 16 and references therein).
  • 43
    • 24844464541 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.47.1840
    • F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 47.1840 47, 1840 (1981).
    • (1981) Phys. Rev. Lett. , vol.47 , pp. 1840
    • Haldane, F.D.M.1
  • 44
    • 25344450812 scopus 로고
    • PLRBAQ 1098-0121 10.1103/PhysRevB.45.2167
    • C. A. Doty and D. S. Fisher, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.45.2167 45, 2167 (1992).
    • (1992) Phys. Rev. B , vol.45 , pp. 2167
    • Doty, C.A.1    Fisher, D.S.2
  • 45
    • 79961042295 scopus 로고    scopus 로고
    • While for the parameters used in this paper the low-lying eigenstates are localized in the thermodynamic limit, in the following we consider systems sizes smaller than the localization length.
    • While for the parameters used in this paper the low-lying eigenstates are localized in the thermodynamic limit, in the following we consider systems sizes smaller than the localization length.
  • 47
    • 4243463729 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.74.2050
    • M. Di Stasio and X. Zotos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2050 74, 2050 (1995).
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2050
    • Di Stasio, M.1    Zotos, X.2
  • 48
    • 0036694665 scopus 로고    scopus 로고
    • PLRBAQ 1098-0121 10.1103/PhysRevB.66.052416
    • Y. Avishai, J. Richert, and R. Berkovits, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.66.052416 66, 052416 (2002);
    • (2002) Phys. Rev. B , vol.66 , pp. 052416
    • Avishai, Y.1    Richert, J.2    Berkovits, R.3
  • 49
    • 42749099245 scopus 로고    scopus 로고
    • PLRBAQ 1098-0121 10.1103/PhysRevB.69.132404
    • K. Kudo and T. Deguchi, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.69.132404 69, 132404 (2004).
    • (2004) Phys. Rev. B , vol.69 , pp. 132404
    • Kudo, K.1    Deguchi, T.2
  • 51
    • 66249091591 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/11/4/043026
    • F. Dukesz, M. Zilbergerts, and L. F. Santos, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/4/043026 11, 043026 (2009).
    • (2009) New J. Phys. , vol.11 , pp. 043026
    • Dukesz, F.1    Zilbergerts, M.2    Santos, L.F.3
  • 52
    • 79961035057 scopus 로고    scopus 로고
    • z0, Eq. (9) does not admit a physically meaningful solution.
    • z 0, Eq. (9) does not admit a physically meaningful solution.
  • 54
    • 79961095506 scopus 로고    scopus 로고
    • The raising of δnπz for Δ Δ is apparent for the case (I), as shown in the upper left panel of Fig. 7. For the other cases we do not show pertinent data, as this is not the main point we are concerned with.
    • The raising of δ n π z for Δ Δ is apparent for the case (I), as shown in the upper left panel of Fig. 7. For the other cases we do not show pertinent data, as this is not the main point we are concerned with.
  • 55
    • 0034301280 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.85.3373
    • D. Monteoliva and J. P. Paz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3373 85, 3373 (2000).
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 3373
    • Monteoliva, D.1    Paz, J.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.