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Annual Review of Condensed Matter Physics

Volume 6, 2015

Universal Dynamics and Renormalization in Many-Body-Localized Systems

Abstract

We survey the recent progress made in understanding nonequilibrium dynamics in closed random systems. The emphasis is on the important role played by concepts from quantum information theory and on the application of systematic renormalization group methods to capture universal aspects of the dynamics. Finally, we outline some outstanding open questions, which include the description of the many-body-localization phase transition and the identification of physical systems that allow systematic experimental study of these phenomena.

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/content/journals/10.1146/annurev-conmatphys-031214-014701
2015-03-10
2024-04-18
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Literature Cited

  1. Bloch I, Dalibard J, Zwerger W. 2008. Rev. Mod. Phys. 80:885–964
  2. Polkovnikov A, Sengupta K, Silva A, Vengalattore M. 2011. Rev. Mod. Phys. 83:863–83
  3. Lamacraft A, Moore J. 2011. arXiv:1106.3567
  4. Hohenberg PC, Halperin BI. 1977. Rev. Mod. Phys. 49:435–79
  5. Anderson PW. 1958. Phys. Rev. 109:1492–505
  6. Deutsch JM. 1991. Phys. Rev. A 43:2046–49
  7. Srednicki M. 1994. Phys. Rev. E 50:888–901
  8. Rigol M, Dunjko B, Olshanii M. 2008. Nature 452:854–58
  9. Bauer B, Nayak C. 2013. J. Stat. Mech 2013:P09005
  10. Gornyi IV, Mirlin AD, Polyakov DG. 2005. Phys. Rev. Lett. 95:206603
  11. Basko D, Aleiner I, Altshuler B. 2006. Ann. Phys. 321:1126–205
  12. Nandkishore R, Huse DA. 2015. Annu. Rev. Condens. Matter Phys 6:15–38
  13. Oganesyan V, Huse DA. 2007. Phys. Rev. B 75:155111
  14. Pal A, Huse DA. 2010. Phys. Rev. B 82:174411
  15. Monthus C, Garel T. 2010. Phys. Rev. B 81:134202
  16. Berkelbach TC, Reichman DR. 2010. Phys. Rev. B 81:224429
  17. Chiara GD, Montangero S, Calabrese P, Fazio R. 2006. J. Stat. Mech. 2006:P03001
  18. Žnidarič M, Prosen T, Prelovšek P. 2008. Phys. Rev. B 77:064426
  19. Bardarson JH, Pollmann F, Moore JE. 2012. Phys. Rev. Lett. 109:017202
  20. Vasseur R, Parameswaran SA, Moore JE. 2014. arXiv:1407.4476
  21. Serbyn M, Papić Z, Abanin DA. 2014. Phys. Rev. B 90:174302
  22. Canovi E, Rossini D, Fazio R, Santoro GE, Silva A. 2011. Phys. Rev. B 83:094431
  23. Canovi E, Rossini D, Fazio R, Santoro GE, Silva A. 2012. New J. Phys. 14:095020
  24. Luca AD, Scardicchio A. 2013. Europhys. Lett. 101:37003
  25. Kjäll JA, Bardarson JH, Pollmann F. 2014. Phys. Rev. Lett 113:107204
  26. Khatami E, Rigol M, Relano A, Garcia-Garcia AM. 2012. Phys. Rev. E 85:050102
  27. Iyer S, Oganesyan V, Refael G, Huse DA. 2013. Phys. Rev. B 87:134202
  28. Vosk R, Altman E. 2013. Phys. Rev. Lett. 110:067204
  29. Vosk R, Altman E. 2014. Phys. Rev. Lett. 112:217204
  30. Pekker D, Refael G, Altman E, Demler E, Oganesyan V. 2014. Phys. Rev. X 4:011052
  31. Imbrie JZ. 2014. arXiv:1403.7837
  32. Serbyn M, Papić Z, Abanin DA. 2013. Phys. Rev. Lett. 110:260601
  33. Serbyn M, Papić Z, Abanin DA. 2013. Phys. Rev. Lett. 111:127201
  34. Huse DA, Oganesyan V. 2013. arXiv:1305.4915
  35. Swingle B. 2013. arXiv:1307.0507
  36. Nanduri A, Kim H, Huse DA. 2014. Phys. Rev. B 90:064201
  37. Yao NY, Laumann CR, Gopalakrishnan S, Knap M, Mueller M et al. 2014. Phys. Rev. Lett 113:243002
  38. Bar Lev Y, Reichman DR. 2014. Phys. Rev. B 89:220201
  39. Nandkishore R, Potter AC. 2014. Phys. Rev. B 90:195115
  40. Nandkishore R, Gopalakrishnan S, Huse DA. 2014. Phys. Rev. B 90:064203
  41. Johri S, Nandkishore R, Bhatt RN. 2014. arXiv:1405.5515
  42. Gopalakrishnan S, Nandkishore R. 2014. arXiv:1405.1036
  43. Berkovits R. 2014. Phys. Rev. B 89:205137
  44. Ros V, Mueller M, Scardicchio A. 2014. arXiv:1406.2175
  45. Bauer B, Nayak C. 2014. Phys. Rev. X 4:041021
  46. Huse DA, Nandkishore R, Oganesyan V, Pal A, Sondhi SL. 2013. Phys. Rev. B 88:014206
  47. Bahri Y, Vosk R, Altman E, Vishwanath A. 2013. arXiv:1307.4092
  48. Serbyn M, Knap M, Gopalakrishnan S, Papić Z, Yao NY et al. 2014. Phys. Rev. Lett. 113:147204
  49. White SR. 1992. Phys. Rev. Lett. 69:2863–66
  50. Vidal G, Latorre JI, Rico E, Kitaev A. 2003. Phys. Rev. Lett. 90:227902
  51. Perez-Garcia D, Verstraete F, Wolf MM, Cirac JI. 2007. Quantum Inf. Comput 7:401–30
  52. Page DN. 1993. Phys. Rev. Lett. 71:1291–94
  53. Foong SK, Kanno S. 1994. Phys. Rev. Lett. 72:1148–51
  54. Sen S. 1996. Phys. Rev. Lett. 77:1–3
  55. Holzhey C, Larsen F, Wilczek F. 1994. Nucl. Phys. B 424:443–67
  56. Latorre JI, Rico E, Vidal G. 2004. Quantum Inf. Comput 4:48–92
  57. Calabrese P, Cardy J. 2004. J. Stat. Mech. 2004:P06002
  58. Calabrese P, Cardy J. 2009. J. Phys. A 42:504005
  59. Gioev D, Klich I. 2006. Phys. Rev. Lett. 96:100503
  60. Eisert J, Cramer M, Plenio MB. 2010. Rev. Mod. Phys. 82:277–306
  61. Hastings MB. 2007. J. Stat. Mech. 2007:P08024
  62. Schollwck U. 2011. Ann. Phys. 326:96–192
  63. Östlund S, Rommer S. 1995. Phys. Rev. Lett. 75:3537–40
  64. Dukelsky J, Martn-Delgado MA, Nishino T, Sierra G. 1998. Europhys. Lett. 43:457–62
  65. Vidal G. 2003. Phys. Rev. Lett. 91:147902
  66. Burrell CK, Osborne TJ. 2007. Phys. Rev. Lett. 99:167201
  67. Kim H, Huse DA. 2013. Phys. Rev. Lett. 111:127205
  68. Vosk R, Altman E, Huse DA. 2014. arXiv:1412.3117
  69. Dasgupta C, Ma S-K. 1980. Phys. Rev. B 22:1305–19
  70. Fisher DS. 1992. Phys. Rev. Lett. 69:534–37
  71. Refael G, Altman E. 2013. C. R. Phys. 14:725–39
  72. Igloi F, Monthus C. 2005. Phys. Rep. 412:277–431
  73. Refael G, Moore JE. 2004. Phys. Rev. Lett. 93:260602
  74. Refael G, Moore J. 2007. Phys. Rev. B 76:024419
  75. Huang Y, Moore JE. 2014. arXiv:1405.1817
  76. Chandran A, Khemani V, Laumann CR, Sondhi SL. 2014. Phys. Rev. B 89:144201
  77. Edwards SF, Anderson PW. 1975. J. Phys. F Met. Phys. 5:965–74
  78. Sachdev S. 2001. Quantum Phase Transitions Cambridge, UK: Cambridge Univ. Press
  79. Motrunich O, Damle K, Huse DA. 2001. Phys. Rev. B 63:134424
  80. Amir A, Oreg Y, Imry Y. 2011. Annu. Rev. Condens. Matter Phys. 2:235–62
  81. Kitaev A. 2003. Ann. Phys. 303:2–30
  82. Chen X, Gu Z-C, Wen X-G. 2011. Phys. Rev. B 83:035107
  83. Turner AM, Vishwanath A. 2013. arXiv:1301.0330
  84. Pollmann F, Turner AM, Berg E, Oshikawa M. 2010. Phys. Rev. B 81:064439
  85. Gu Z-C, Wen X-G. 2009. Phys. Rev. B 80:155131
  86. Nayak C, Simon SH, Stern A, Freedman M, Das Sarma S. 2008. Rev. Mod. Phys. 80:1083–159
  87. Wootton JR, Pachos JK. 2011. Phys. Rev. Lett. 107:030503
  88. Stark C, Pollet L, Imamoğlu Ac, Renner R. 2011. Phys. Rev. Lett. 107:030504
  89. Grover T. 2014. arXiv:1405.1471
  90. De Luca A, Altshuler BL, Kravtsov VE, Scardicchio A. 2014. Phys. Rev. Lett 113:046806
  91. Vosk R, Huse DA, Altman E. 2014. arXiv:1412.3117
  92. Potter A, Vasseur R, Parameswaran SA. 2015. arXiv:1501.03501
  93. Carleo G, Becca F, Schiró M, Fabrizio M. 2012. Sci. Rep 2:243
  94. Schiulaz M, Müller M. 2013. arXiv:1309.1082
  95. De Roeck W, Huveneers F. 2013. Commun. Math. Phys 332:1017–82
  96. Grover T, Fisher MPA. 2014. J. Stat. Mech 2014:P10010
  97. Andraschko F, Enss T, Siker J. 2014. Phys. Rev. Lett 113:217201
  98. Roati G, D’Errico C, Fallani L, Fattori M, Fort C et al. 2008. Nature 453:895–98
  99. Billy J, Vosse V, Zuo Z, Bernard A, Hambrecht B et al. 2008. Nature 453:891–94
  100. Kondov SS, McGehee WR, Zirbel JJ, DeMarco B. 2011. Science 334:66–68 http://www.sciencemag.org/content/334/6052/66.full.pdf
  101. Basko DM, Aleiner IL, Altshuler BL. 2007. Phys. Rev. B 76:052203
  102. Altshuler BL, Kravtsov VE, Lerner IV, Aleiner IL. 2009. Phys. Rev. Lett. 102:176803
  103. Ovadia M, Sacépé B, Shahar D. 2009. Phys. Rev. Lett. 102:176802
  104. Wu W, Ellman B, Rosenbaum TF, Aeppli G, Reich DH. 1991. Phys. Rev. Lett. 67:2076–79
/content/journals/10.1146/annurev-conmatphys-031214-014701
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Universal Dynamics and Renormalization in Many-Body-Localized Systems
Annual Review of Condensed Matter Physics 6, 383 (2015); https://doi.org/10.1146/annurev-conmatphys-031214-014701
/content/journals/10.1146/annurev-conmatphys-031214-014701
/content/journals/10.1146/annurev-conmatphys-031214-014701
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  • Article Type: Review Article

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