1932

Abstract

Quench dynamics is an active area of study encompassing condensed matter physics and quantum information, with applications to cold-atomic gases and pump-probe spectroscopy of materials. Recent theoretical progress in studying quantum quenches is reviewed. Quenches in interacting one-dimensional systems as well as systems in higher spatial dimensions are covered. The appearance of nontrivial steady states following a quench in exactly solvable models is discussed, and the stability of these states to perturbations is described. Proper conserving approximations needed to capture the onset of thermalization at long times are outlined. The appearance of universal scaling for quenches near critical points and the role of the renormalization group in capturing the transient regime are reviewed. Finally, the effect of quenches near critical points on the dynamics of entanglement entropy and entanglement statistics is discussed. The extraction of critical exponents from the entanglement statistics is outlined.

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2018-03-10
2025-02-14
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Literature Cited

  1. Calabrese P, Cardy J. 1.  2005. J. Stat. Mech.: Theory Exp. 2005:04P04010 [Google Scholar]
  2. Calabrese P, Cardy J. 2.  2006. Phys. Rev. Lett. 96:136801 [Google Scholar]
  3. Bloch I, Dalibard J, Zwerger W. 3.  2008. Rev. Mod. Phys. 80:885 [Google Scholar]
  4. Cazalilla MA, Citro R, Giamarchi T, Orignac E, Rigol M. 4.  2011. Rev. Mod. Phys. 83:1405 [Google Scholar]
  5. Kinoshita T, Wenger T, Weiss DS. 5.  2006. Nature 440:900 [Google Scholar]
  6. Gring M, Kuhnert M, Langen T, Kitagawa T, Rauer B. 6.  et al. 2012. Science 337:1318 [Google Scholar]
  7. Trotzky S, Chen Y-A, Flesch A, McCulloch I, Schollwöck U. 7.  et al. 2012. Nat. Phys. 8:325 [Google Scholar]
  8. Schreiber M, Hodgman SS, Bordia P, Lschen HP, Fischer MH. 8.  et al. 2015. Science 349:842 [Google Scholar]
  9. Deutsch JM. 9.  1991. Phys. Rev. A 43:2046 [Google Scholar]
  10. Srednicki M. 10.  1994. Phys. Rev. E 50:888 [Google Scholar]
  11. Rigol M, Dunjko V, Yurovsky V, Olshanii M. 11.  2008. Nature 452:854 [Google Scholar]
  12. Iyer D, Andrei N. 12.  2012. Phys. Rev. Lett. 109:115304 [Google Scholar]
  13. Iyer D, Guan H, Andrei N. 13.  2013. Phys. Rev. A 87:053628 [Google Scholar]
  14. Mussardo G. 14.  2013. Phys. Rev. Lett. 111:100401 [Google Scholar]
  15. van den Berg R, Wouters B, Eliëns S, De Nardis J, Konik RM, Caux J-S. 15.  2016. Phys. Rev. Lett. 116:225302 [Google Scholar]
  16. Yuzbashyan EA, Shastry BS. 16.  2013. J. Stat. Phys. 150:704 [Google Scholar]
  17. Kolmogorov AN. 17.  1954. Dokl. Akad. Nauk SSSR 98:527 [Google Scholar]
  18. Brandino GP, Caux J-S, Konik RM. 18.  2015. Phys. Rev. X 5:041043 [Google Scholar]
  19. Anderson PW. 19.  1958. Phys. Rev. 109:1492 [Google Scholar]
  20. Basko D, Aleiner I, Altshuler B. 20.  2006. Ann. Phys. 321:1126 [Google Scholar]
  21. Oganesyan V, Huse DA. 21.  2007. Phys. Rev. B 75:155111 [Google Scholar]
  22. Nandkishore R, Huse DA. 22.  2015. Annu. Rev. Condens. Matter Phys. 6:15 [Google Scholar]
  23. Vidal G, Latorre JI, Rico E, Kitaev A. 23.  2003. Phys. Rev. Lett. 90:227902 [Google Scholar]
  24. Kitaev A, Preskill J. 24.  2006. Phys. Rev. Lett. 96:110404 [Google Scholar]
  25. Levin M, Wen X-G. 25.  2006. Phys. Rev. Lett. 96:110405 [Google Scholar]
  26. Li H, Haldane FDM. 26.  2008. Phys. Rev. Lett. 101:010504 [Google Scholar]
  27. Casini H, Huerta M. 27.  2009. J. Phys. A: Math. Theor. 42:504007 [Google Scholar]
  28. Eisert J, Cramer M, Plenio MB. 28.  2010. Rev. Mod. Phys. 82:277 [Google Scholar]
  29. Calabrese P, Cardy J. 29.  2007. J. Stat. Mech. 2007:06P06008 [Google Scholar]
  30. Calabrese P, Cardy J. 30.  2007. J. Stat. Mech.: Theory Exp. 2007:10P10004 [Google Scholar]
  31. Hartman T, Maldacena J. 31.  2013. J. High Energy Phys. 2013:14 [Google Scholar]
  32. Iglói F, Szatmári Z, Lin Y-C. 32.  2012. Phys. Rev. B 85:094417 [Google Scholar]
  33. Kim H, Huse DA. 33.  2013. Phys. Rev. Lett. 111:127205 [Google Scholar]
  34. Schollwöck U. 34.  2011. Ann. Phys. 326:96 [Google Scholar]
  35. Haegeman J, Cirac JI, Osborne TJ, Pižorn I, Verschelde H, Verstraete F. 35.  2011. Phys. Rev. Lett. 107:070601 [Google Scholar]
  36. Leviatan E, Pollmann F, Bardarson JH, Altman E. 36.  2017. arXiv1702.08894
  37. Giamarchi T. 37.  2004. Quantum Physics in One Dimension Oxford, UK: Oxford Univ. Press [Google Scholar]
  38. Berges J, Borsányi S, Wetterich C. 38.  2004. Phys. Rev. Lett. 93:142002 [Google Scholar]
  39. Moeckel M, Kehrein S. 39.  2008. Phys. Rev. Lett. 100:175702 [Google Scholar]
  40. Kollar M, Wolf FA, Eckstein M. 40.  2011. Phys. Rev. B 84:054304 [Google Scholar]
  41. Marcuzzi M, Marino J, Gambassi A, Silva A. 41.  2013. Phys. Rev. Lett. 111:197203 [Google Scholar]
  42. Antal T, Rácz Z, Rákos A, Schütz GM. 42.  1999. Phys. Rev. E 59:4912 [Google Scholar]
  43. Platini T, Karevski D. 43.  2007. J. Phys. A: Math. Theor. 40:1711 [Google Scholar]
  44. Lancaster J, Mitra A. 44.  2010. Phys. Rev. E 81:061134 [Google Scholar]
  45. Ovchinnikov A. 45.  2007. Phys. Lett. A 366:357 [Google Scholar]
  46. Rigol M, Muramatsu A. 46.  2004. Phys. Rev. Lett. 93:230404 [Google Scholar]
  47. Vidmar L, Ronzheimer JP, Schreiber M, Braun S, Hodgman SS. 47.  et al. 2015. Phys. Rev. Lett. 115:175301 [Google Scholar]
  48. Langer S, Heidrich-Meisner F, Gemmer J, McCulloch IP, Schollwöck U. 48.  2009. Phys. Rev. B 79:214409 [Google Scholar]
  49. Foster MS, Berkelbach TC, Reichman DR, Yuzbashyan EA. 49.  2011. Phys. Rev. B 84:085146 [Google Scholar]
  50. Santos LF, Mitra A. 50.  2011. Phys. Rev. E 84:016206 [Google Scholar]
  51. Lancaster J, Gull E, Mitra A. 51.  2010. Phys. Rev. B 82:235124 [Google Scholar]
  52. Vidmar L, Iyer D, Rigol M. 52.  2017. Phys. Rev. X 7:021012 [Google Scholar]
  53. Bertini B, Collura M, De Nardis J Fagotti M. 53.  2016. Phys. Rev. Lett. 117:207201 [Google Scholar]
  54. Castro-Alvaredo OA, Doyon B, Yoshimura T. 54.  2016. Phys. Rev. X 6:041065 [Google Scholar]
  55. Mazur P. 55.  1969. Physica 43:533 [Google Scholar]
  56. Eisler V, Rácz Z. 56.  2013. Phys. Rev. Lett. 110:060602 [Google Scholar]
  57. Zauner V, Ganahl M, Evertz HG, Nishino T. 57.  2015. J. Phys.: Condens. Matter 27:425602 [Google Scholar]
  58. Sabetta T, Misguich G. 58.  2013. Phys. Rev. B 88:245114 [Google Scholar]
  59. Cazalilla MA. 59.  2006. Phys. Rev. Lett. 97:156403 [Google Scholar]
  60. Iucci A, Cazalilla MA. 60.  2009. Phys. Rev. A 80:063619 [Google Scholar]
  61. Mitra A, Giamarchi T. 61.  2011. Phys. Rev. Lett. 107:150602 [Google Scholar]
  62. Karrasch C, Rentrop J, Schuricht D, Meden V. 62.  2012. Phys. Rev. Lett. 109:126406 [Google Scholar]
  63. Kennes DM, Meden V. 63.  2013. Phys. Rev. B 88:165131 [Google Scholar]
  64. Collura M, Calabrese P, Essler FHL. 64.  2015. Phys. Rev. B 92:125131 [Google Scholar]
  65. Rigol M, Dunjko V, Yurovsky V, Olshanii M. 65.  2007. Phys. Rev. Lett. 98:050405 [Google Scholar]
  66. Schiró M, Mitra A. 66.  2014. Phys. Rev. Lett. 112:246401 [Google Scholar]
  67. Schiró M, Mitra A. 67.  2015. Phys. Rev. B 91:235126 [Google Scholar]
  68. Caux J-S, Essler FHL. 68.  2013. Phys. Rev. Lett. 110:257203 [Google Scholar]
  69. Ilievski E, De Nardis J, Wouters B, Caux J-S, Essler FHL, Prosen T. 69.  2015. Phys. Rev. Lett. 115:157201 [Google Scholar]
  70. Caux J-S. 70.  2016. J. Stat. Mech.: Theory Exp. 064006: [Google Scholar]
  71. Tavora M, Rosch A, Mitra A. 71.  2014. Phys. Rev. Lett. 113:010601 [Google Scholar]
  72. Singh RRP, Fisher ME, Shankar R. 72.  1989. Phys. Rev. B 39:2562 [Google Scholar]
  73. Affleck I. 73.  1998. J. Phys. A: Math. Gen. 31:4573 [Google Scholar]
  74. Mitra A. 74.  2013. Phys. Rev. B 87:205109 [Google Scholar]
  75. Mitra A, Giamarchi T. 75.  2012. Phys. Rev. B 85:075117 [Google Scholar]
  76. Mitra A. 76.  2012. Phys. Rev. Lett. 109:260601 [Google Scholar]
  77. Kamenev A. 77.  2011. Field Theory of Non-Equilibrium Systems Cambridge, UK: Cambridge Univ. Press [Google Scholar]
  78. Berges J. 78.  2004. IX Hadron Physics and VII Relativistic Aspects of Nuclear Physics: A Joint Meeting on QCD and QCP M Bracco, M Chiapparini, E Ferreira AIP Conf. Proc 7393 Melville, NY: AIP [Google Scholar]
  79. Cornwall JM, Jackiw R, Tomboulis E. 79.  1974. Phys. Rev. D 10:2428 [Google Scholar]
  80. Nishiyama A. 80.  2010. Nucl. Phys. A 832:289 [Google Scholar]
  81. Arrizabalaga A, Smit J, Tranberg A. 81.  2005. Phys. Rev. D 72:025014 [Google Scholar]
  82. Ivanov YB, Knoll J, Voskresensky DN. 82.  1999. Nucl. Phys. A 657:413 [Google Scholar]
  83. Tavora M, Mitra A. 83.  2013. Phys. Rev. B 88:115144 [Google Scholar]
  84. Grams CP, Valldor M, Garst M, Hemberger J. 84.  2014. Nat. Commun. 5:4853 [Google Scholar]
  85. Lux J, Müller J, Mitra A, Rosch A. 85.  2014. Phys. Rev. A 89:053608 [Google Scholar]
  86. Kardar M, Parisi G, Zhang Y-C. 86.  1986. Phys. Rev. Lett. 56:889 [Google Scholar]
  87. van Beijeren H. 87.  2012. Phys. Rev. Lett. 108:180601 [Google Scholar]
  88. Schiró M, Fabrizio M. 88.  2010. Phys. Rev. Lett. 105:076401 [Google Scholar]
  89. Gambassi A, Calabrese P. 89.  2011. Europhys. Lett. 95:66007 [Google Scholar]
  90. Sciolla B, Biroli G. 90.  2013. Phys. Rev. B 88:201110 [Google Scholar]
  91. Chandran A, Nanduri A, Gubser SS, Sondhi SL. 91.  2013. Phys. Rev. B 88:024306 [Google Scholar]
  92. Smacchia P, Knap M, Demler E, Silva A. 92.  2015. Phys. Rev. B 91:205136 [Google Scholar]
  93. Chiocchetta A, Tavora M, Gambassi A, Mitra A. 93.  2015. Phys. Rev. B 91:220302 [Google Scholar]
  94. Maraga A, Chiocchetta A, Mitra A, Gambassi A. 94.  2015. Phys. Rev. E 92:042151 [Google Scholar]
  95. Chiocchetta A, Tavora M, Gambassi A, Mitra A. 95.  2016. Phys. Rev. B 94:134311 [Google Scholar]
  96. Chiocchetta A, Gambassi A, Diehl S, Marino J. 96.  2017. Phys. Rev. Lett. 118:135701 [Google Scholar]
  97. Janssen H, Schaub B, Schmittmann B. 97.  1989. Z. Phys. B 73:539 [Google Scholar]
  98. Huse DA. 98.  1989. Phys. Rev. B 40:304 [Google Scholar]
  99. Calabrese P, Gambassi A. 99.  2005. J. Phys. A: Math. Gen. 38:R133 [Google Scholar]
  100. Diehl HW. 100.  1986. Phase Transitions and Critical Phenomena C Domb, JL Lebowitz London: Academic [Google Scholar]
  101. Lemonik Y, Mitra A. 101.  2016. Phys. Rev. B 94:024306 [Google Scholar]
  102. Peschel I, Eisler V. 102.  2009. J. Phys. A: Math. Theor. 42:504003 [Google Scholar]
  103. Mitrano M, Cantaluppi A, Nicoletti D, Kaiser S, Perucchi A. 103.  et al. 2016. Nature 530:461 [Google Scholar]
  104. Dehghani H, Mitra A. 104.  2017. Phys. Rev. B 96:195110 [Google Scholar]
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