1932

Abstract

Floquet engineering, the control of quantum systems using periodic driving, is an old concept in condensed matter physics dating back to ideas such as the inverse Faraday effect. However, there is a renewed interest in this concept owing to () the rapid developments in laser and ultrafast spectroscopy techniques, () discovery and understanding of various “quantum materials” hosting interesting exotic quantum properties, and () communication with different areas of physics such as artificial matter and nonequilibrium quantum statistical physics. Here, starting from a nontechnical introduction with emphasis on the Floquet picture and effective Hamiltonians, we review the recent applications of Floquet engineering in ultrafast, nonlinear phenomena in the solid state. In particular, Floquet topological states and their application to ultrafast spintronics and strongly correlated electron systems are overviewed.

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2019-03-10
2025-04-25
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Literature Cited

  1. 1.  Nasu K 2004. Photoinduced Phase Transitions Singapore: World Sci.
    [Google Scholar]
  2. 2.  Iwai S, Okamoto H 2006. J. Phys. Soc. Jpn. 75:011007
    [Google Scholar]
  3. 3.  Koshihara S, Kuwata-Gonokami M 2006. J. Phys. Soc. Jpn. 75:011001
    [Google Scholar]
  4. 4.  Yonemitsu K, Nasu K 2008. Phys. Rep. 465:1–60
    [Google Scholar]
  5. 5.  Oka T, Aoki H 2008. Quantum and Semi-classical Percolation and Breakdown in Disordered Solids AK Sen, KK Bardhan, BK Chakrabarti Lecture Notes in Physics, Vol. 7621–35 Berlin, Heidelberg: Springer
    [Google Scholar]
  6. 6.  Kirilyuk A, Kimel AV, Rasing T 2010. Rev. Mod. Phys. 82:2731–84
    [Google Scholar]
  7. 7.  Basov DN, Averitt RD, van der Marel D, Dressel M, Haule K 2011. Rev. Mod. Phys. 83:471–541
    [Google Scholar]
  8. 8.  Orenstein J 2012. Phys. Today 65:44–50
    [Google Scholar]
  9. 9.  Aoki H, Tsuji N, Eckstein M, Kollar M, Oka T, Werner P 2014. Rev. Mod. Phys. 86:779
    [Google Scholar]
  10. 10.  Giannetti C, Capone M, Fausti D, Fabrizio M, Parmigiani F, Mihailovic D 2016. Adv. Phys. 65:58–238
    [Google Scholar]
  11. 11.  Mankowsky R, Först M, Cavalleri A 2016. Rep. Prog. Phys. 79:064503
    [Google Scholar]
  12. 12.  Basov DN, Averitt RD, Hsieh D 2017. Nat. Mater. 16:1077–88
    [Google Scholar]
  13. 13.  Cavalleri A 2017. Contemp. Phys. 59:31–46
    [Google Scholar]
  14. 14.  Sawa A 2008. Mater. Today 11:28–36
    [Google Scholar]
  15. 15.  Cario L, Vaju C, Corraze B, Guiot V, Janod E 2010. Adv. Mater. 22:5193–97
    [Google Scholar]
  16. 16.  Pan F, Gao S, Chen C, Song C, Zeng F 2014. Mater. Sci. Eng.: R: Rep. 83:1–59
    [Google Scholar]
  17. 17.  Shirley JH 1965. Phys. Rev. 138:B979–87
    [Google Scholar]
  18. 18.  Dunlap DH, Kenkre VM 1986. Phys. Rev. B 34:3625–33
    [Google Scholar]
  19. 19.  Sambe H 1973. Phys. Rev. A 7:2203–13
    [Google Scholar]
  20. 20.  Hänggi P 1988. Quantum Transport and Dissipation T Dittrich, P Hänggi, G-L Ingold, B Kramer, G Schön, W Zwerger249–86 Weinheim, Germ.: Wiley-VCH
    [Google Scholar]
  21. 21.  Moskalets M, Büttiker M 2002. Phys. Rev. B 66:205320
    [Google Scholar]
  22. 22.  Grifoni M, Hänggi P 1998. Phys. Rep. 304:229–354
    [Google Scholar]
  23. 23.  Chu SI, Telnov DA 2004. Phys. Rep. 390:1–131
    [Google Scholar]
  24. 24.  Joura AV, Freericks JK, Pruschke T 2008. Phys. Rev. Lett. 101:196401
    [Google Scholar]
  25. 25.  Tsuji N, Oka T, Aoki H 2008. Phys. Rev. B 78:235124
    [Google Scholar]
  26. 26.  Oka T, Aoki H 2008. Phys. Rev. B 78:241104
    [Google Scholar]
  27. 27.  Tsuji N, Oka T, Aoki H 2009. Phys. Rev. Lett. 103:047403
    [Google Scholar]
  28. 28.  Heidrich-Meisner F, González I, Al-Hassanieh KA, Feiguin AE, Rozenberg MJ, Dagotto E 2010. Phys. Rev. B 82:205110
    [Google Scholar]
  29. 29.  Lee WR, Park K 2014. Phys. Rev. B 89:205126
    [Google Scholar]
  30. 30.  Mikami T, Kitamura S, Yasuda K, Tsuji N, Oka T, Aoki H 2016. Phys. Rev. B 93:144307
    [Google Scholar]
  31. 31.  Qin T, Hofstetter W 2017. Phys. Rev. B 96:075134
    [Google Scholar]
  32. 32.  Murakami Y, Tsuji N, Eckstein M, Werner P 2017. Phys. Rev. B 96:045125
    [Google Scholar]
  33. 33.  Murakami Y, Eckstein M, Werner P 2018. Phys. Rev. Lett. 121:057405
    [Google Scholar]
  34. 34.  Seetharam KI, Bardyn CE, Lindner NH, Rudner MS, Refael G 2015. Phys. Rev. X 5:041050
    [Google Scholar]
  35. 35.  Dehghani H, Oka T, Mitra A 2014. Phys. Rev. B 90:195429
    [Google Scholar]
  36. 36.  Babadi M, Knap M, Martin I, Refael G, Demler E 2017. Phys. Rev. B 96:014512
    [Google Scholar]
  37. 37.  Sentef MA, Kemper AF, Georges A, Kollath C 2016. Phys. Rev. B 93:144506
    [Google Scholar]
  38. 38.  Sentef MA 2017. Phys. Rev. B 95:205111
    [Google Scholar]
  39. 39.  Kennes DM, Wilner EY, Reichman DR, Millis AJ 2017. Nat. Phys. 13:479
    [Google Scholar]
  40. 40.  D'Alessio L, Rigol M 2014. Phys. Rev. X 4:041048
    [Google Scholar]
  41. 41.  Lazarides A, Das A, Moessner R 2014. Phys. Rev. E 90:012110
    [Google Scholar]
  42. 42.  D'Alessio L, Polkovnikov A 2013. Ann. Phys. 333:19–33
    [Google Scholar]
  43. 43.  Kuwahara T, Mori T, Saito K 2016. Ann. Phys. 367:96–124
    [Google Scholar]
  44. 44.  Mori T, Kuwahara T, Saito K 2016. Phys. Rev. Lett. 116:120401
    [Google Scholar]
  45. 45.  Abanin D, Roeck WD, Ho WW, Huveneers F 2017. Commun. Math. Phys. 354:809–27
    [Google Scholar]
  46. 46.  Ponte P, Chandran A, Papi Z, Abanin DA 2015. Ann. Phys. 353:196–204
    [Google Scholar]
  47. 47.  Weinberg P, Bukov M, D'Alessio L, Polkovnikov A, Vajna S, Kolodrubetz M 2017. Phys. Rep. 688:1–35
    [Google Scholar]
  48. 48.  Haldar Asmi MR, Das A 2018. Phys. Rev. B 97:245122
    [Google Scholar]
  49. 49.  Goldman N, Dalibard J 2014. Phys. Rev. X 4:031027
    [Google Scholar]
  50. 50.  Eckardt A 2017. Rev. Mod. Phys. 89:011004
    [Google Scholar]
  51. 51.  Hasan MZ, Kane CL 2010. Rev. Mod. Phys. 82:3045–67
    [Google Scholar]
  52. 52.  Qi XL, Zhang SC 2011. Rev. Mod. Phys. 83:1057–110
    [Google Scholar]
  53. 53.  Castro Neto AH, Guinea F, Peres NMR, Novoselov KS, Geim AK 2009. Rev. Mod. Phys. 81:109–62
    [Google Scholar]
  54. 54.  Armitage NP, Mele EJ, Vishwanath A 2018. Rev. Mod. Phys. 90:015001
    [Google Scholar]
  55. 55.  Yan B, Felser C 2017. Annu. Rev. Condens. Matter Phys. 8:337–54
    [Google Scholar]
  56. 56.  Imada M, Fujimori A, Tokura Y 1998. Rev. Mod. Phys. 70:1039–263
    [Google Scholar]
  57. 57.  Thouless DJ 1983. Phys. Rev. B 27:6083–87
    [Google Scholar]
  58. 58.  Rice MJ, Mele EJ 1982. Phys. Rev. Lett. 49:1455–59
    [Google Scholar]
  59. 59.  Kitagawa T, Berg E, Rudner M, Demler E 2010. Phys. Rev. B 82:235114
    [Google Scholar]
  60. 60.  Thouless DJ, Kohmoto M, Nightingale MP, den Nijs M 1982. Phys. Rev. Lett. 49:405–8
    [Google Scholar]
  61. 61.  Bukov M, D'Alessio L, Polkovnikov A 2015. Adv. Phys. 64:139
    [Google Scholar]
  62. 62.  Eckardt A, Anisimovas E 2015. New J. Phys. 17:093039
    [Google Scholar]
  63. 63.  Deutsch JM 1991. Phys. Rev. A 43:2046–49
    [Google Scholar]
  64. 64.  Reimann P, Kastner M 2012. New J. Phys. 14:043020
    [Google Scholar]
  65. 65.  Berges J, Borsányi S, Wetterich C 2004. Phys. Rev. Lett. 93:142002
    [Google Scholar]
  66. 66.  Calabrese P, Cardy J 2006. Phys. Rev. Lett. 96:136801
    [Google Scholar]
  67. 67.  Moeckel M, Kehrein S 2008. Phys. Rev. Lett. 100:175702
    [Google Scholar]
  68. 68.  Mori T, Ikeda TN, Kaminishi E, Ueda M 2017. J. Phys. B. 51:112001
    [Google Scholar]
  69. 69.  Mitra A 2018. Annu. Rev. Condens. Matter Phys. 9:245–59
    [Google Scholar]
  70. 70.  Casas F, Oteo JA, Ros J 2001. J. Phys. A: Math. Gen. 34:3379
    [Google Scholar]
  71. 71.  Mananga ES, Charpentier T 2011. J. Chem. Phys. 135:044109
    [Google Scholar]
  72. 72.  Pershan PS, van der Ziel JP, Malmstrom LD 1966. Phys. Rev. 143:574–83
    [Google Scholar]
  73. 73.  Mentink JH, Balzer K, Eckstein M 2015. Nat. Commun. 6:6708
    [Google Scholar]
  74. 74.  Bukov M, Kolodrubetz M, Polkovnikov A 2016. Phys. Rev. Lett. 116:125301
    [Google Scholar]
  75. 75.  Kitamura S, Oka T, Aoki H 2017. Phys. Rev. B 96:014406
    [Google Scholar]
  76. 76.  Claassen M, Jiang H-C, Moritz B, Devereaux TP 2017. Nat. Commun. 8:1192
    [Google Scholar]
  77. 77.  Oka T, Aoki H 2009. Phys. Rev. B 79:081406
    [Google Scholar]
  78. 78.  Kitagawa T, Oka T, Brataas A, Fu L, Demler E 2011. Phys. Rev. B 84:235108
    [Google Scholar]
  79. 79.  Kitagawa T, Berg E, Rudner M, Demler E 2010. Phys. Rev. B 82:235114
    [Google Scholar]
  80. 80.  Lindner NH, Refael G, Galitski V 2011. Nat. Phys. 7:490–95
    [Google Scholar]
  81. 81.  Ishikawa T, Sagae Y, Naitoh Y, Kawakami Y, Itoh H et al. 2014. Nat. Commun. 5:5528
    [Google Scholar]
  82. 82.  Haldane FDM 1988. Phys. Rev. Lett. 61:2015–18
    [Google Scholar]
  83. 83.  Aharonov Y, Anandan J 1987. Phys. Rev. Lett. 58:1593–96
    [Google Scholar]
  84. 84.  Berry MV 1984. Proc. R. Soc. A: Math., Phys. Eng. Sci. 392:45–57
    [Google Scholar]
  85. 85.  Jotzu G, Messer M, Desbuquois R, Lebrat M, Uehlinger T et al. 2014. Nature 515:237–40
    [Google Scholar]
  86. 86.  Rechtsman MC, Zeuner JM, Plotnik Y, Lumer Y, Podolsky D et al. 2013. Nature 496:196–200
    [Google Scholar]
  87. 87.  Wang YH, Steinberg H, Jarillo-Herrero P, Gedik N 2013. Science 342:453–57
    [Google Scholar]
  88. 88.  Torres M, Kunold A 2005. Phys. Rev. B 71:115313
    [Google Scholar]
  89. 89.  Dehghani H, Oka T, Mitra A 2015. Phys. Rev. B 91:155422
    [Google Scholar]
  90. 90.  Oka T, Aoki H 2010. J. Phys.: Conf. Ser. 334:5
    [Google Scholar]
  91. 91.  Ikebe Y, Morimoto T, Masutomi R, Okamoto T, Aoki H, Shimano R 2010. Phys. Rev. Lett. 104:256802
    [Google Scholar]
  92. 92.  Gu Z, Fertig HA, Arovas DP, Auerbach A 2011. Phys. Rev. Lett. 107:216601
    [Google Scholar]
  93. 93.  Žutić I, Fabian J, Das Sarma S 2004. Rev. Mod. Phys. 76:323–410
    [Google Scholar]
  94. 94.  Kimel AV, Kirilyuk A, Usachev PA, Pisarev RV, Balbashov AM, Rasing T 2005. Nature 435:655–57
    [Google Scholar]
  95. 95.  Stanciu CD, Hansteen F, Kimel AV, Kirilyuk A, Tsukamoto A et al. 2007. Phys. Rev. Lett. 99:047601
    [Google Scholar]
  96. 96.  Tokura Y, Seki S, Nagaosa N 2014. Rep. Prog. Phys. 77:076501
    [Google Scholar]
  97. 97.  Tanabe Y, Moriya T, Sugano S 1965. Phys. Rev. Lett. 15:1023–25
    [Google Scholar]
  98. 98.  Katsura H, Nagaosa N, Balatsky AV 2005. Phys. Rev. Lett. 95:057205
    [Google Scholar]
  99. 99.  Sato M, Sasaki Y, Oka T 2014. arXiv:1404.2010
  100. 100.  Sato M, Takayoshi S, Oka T 2016. Phys. Rev. Lett. 117:147202
    [Google Scholar]
  101. 101.  Takayoshi S, Aoki H, Oka T 2014. Phys. Rev. B 90:085150
    [Google Scholar]
  102. 102.  Takayoshi S, Sato M, Oka T 2014. Phys. Rev. B 90:214413
    [Google Scholar]
  103. 103.  Kaminski A, Nazarov YV, Glazman LI 2000. Phys. Rev. B 62:8154–70
    [Google Scholar]
  104. 104.  Goldin Y, Avishai Y 2000. Phys. Rev. B 61:16750–72
    [Google Scholar]
  105. 105.  Kugel KI, Khomski˘i DI 1982. Sov. Phys. Usp. 25:231–56
    [Google Scholar]
  106. 106.  Eckstein M, Mentink JH, Werner P 2017. arXiv:1703.03269
  107. 107.  Chaloupka J, Jackeli G, Khaliullin G 2010. Phys. Rev. Lett. 105:027204
    [Google Scholar]
  108. 108.  Bhattacharjee S, Lee SS, Kim YB 2012. N. J. Phys. 14:073015
    [Google Scholar]
  109. 109.  Kitaev A 2006. Ann. Phys. 321:2–111
    [Google Scholar]
  110. 110.  Bauer B, Cincio L, Keller BP, Dolfi M, Vidal G et al. 2014. Nat. Commun. 5:5137
    [Google Scholar]
  111. 111.  Shimizu Y, Miyagawa K, Kanoda K, Maesato M, Saito G 2003. Phys. Rev. Lett. 91:107001
    [Google Scholar]
  112. 112.  Koshihara S, Tokura Y, Mitani T, Saito G, Koda T 1990. Phys. Rev. B 42:6853–56
    [Google Scholar]
  113. 113.  Koshihara S, Tokura Y, Takeda K, Koda T 1992. Phys. Rev. Lett. 68:1148–51
    [Google Scholar]
  114. 114.  Cavalleri A, Tóth C, Siders CW, Squier JA, Ráksi F et al. 2001. Phys. Rev. Lett. 87:237401
    [Google Scholar]
  115. 115.  Yu G, Lee CH, Heeger AJ, Herron N, McCarron EM 1991. Phys. Rev. Lett. 67:2581–84
    [Google Scholar]
  116. 116.  Iwai S, Ono M, Maeda A, Matsuzaki H, Kishida H et al. 2003. Phys. Rev. Lett. 91:057401
    [Google Scholar]
  117. 117.  Perfetti L, Loukakos PA, Lisowski M, Bovensiepen U, Eisaki H, Wolf M 2007. Phys. Rev. Lett. 99:197001
    [Google Scholar]
  118. 118.  Wall S, Brida D, Clark SR, Ehrke HP, Jaksch D et al. 2010. Nat. Phys. 7:114–18
    [Google Scholar]
  119. 119.  Strohmaier N, Greif D, Jördens R, Tarruell L, Moritz H et al. 2010. Phys. Rev. Lett. 104:080401
    [Google Scholar]
  120. 120.  Fausti D, Tobey RI, Dean N, Kaiser S, Dienst A et al. 2011. Science 331:189–91
    [Google Scholar]
  121. 121.  Hu W, Kaiser S, Nicoletti D, Hunt CR, Gierz I et al. 2014. Nat. Mater. 13:705–11
    [Google Scholar]
  122. 122.  Kaiser S, Hunt CR, Nicoletti D, Hu W, Gierz I et al. 2014. Phys. Rev. B 89:184516
    [Google Scholar]
  123. 123.  Tokura Y, Okamoto H, Koda T, Mitani T, Saito G 1988. Phys. Rev. B 38:2215–18
    [Google Scholar]
  124. 124.  Asamitsu A, Tomioka Y, Kuwahara H, Tokura Y 1997. Nature 388:50–52
    [Google Scholar]
  125. 125.  Taguchi Y, Matsumoto T, Tokura Y 2000. Phys. Rev. B 62:7015–18
    [Google Scholar]
  126. 126.  Guiot V, Cario L, Janod E, Corraze B, Phuoc VT et al. 2013. Nat. Commun. 4:1722
    [Google Scholar]
  127. 127.  Hirori H, Shinokita K, Shirai M, Tani S, Kadoya Y, Tanaka K 2011. Nat. Commun. 2:594
    [Google Scholar]
  128. 128.  Oka T, Arita R, Aoki H 2003. Phys. Rev. Lett. 91:066406
    [Google Scholar]
  129. 129.  Oka T, Aoki H 2005. Phys. Rev. Lett. 95:137601
    [Google Scholar]
  130. 130.  Freericks JK, Turkowski VM, Zlatić V 2006. Phys. Rev. Lett. 97:266408
    [Google Scholar]
  131. 131.  Takahashi A, Itoh H, Aihara M 2008. Phys. Rev. B 77:205105
    [Google Scholar]
  132. 132.  Oka T, Aoki H 2010. Phys. Rev. B 81:033103
    [Google Scholar]
  133. 133.  Tsuji N, Oka T, Werner P, Aoki H 2011. Phys. Rev. Lett. 106:236401
    [Google Scholar]
  134. 134.  Oka T 2012. Phys. Rev. B 86:075148
    [Google Scholar]
  135. 135.  Bukov M, Kolodrubetz M, Polkovnikov A 2016. Phys. Rev. Lett. 116:125301
    [Google Scholar]
  136. 136.  Heisenberg W, Euler H 1936. Z. Phys. 98:714–32 (Translated to English in arXiv:0605038)
    [Google Scholar]
  137. 137.  Schwinger J 1951. Phys. Rev. 82:664–79
    [Google Scholar]
  138. 138.  Dunne GV 2009. Eur. Phys. J. D 55:327–40
    [Google Scholar]
  139. 139.  Gelis F, Tanji N 2016. Prog. Part. Nuclear Phys. 87:1–49
    [Google Scholar]
  140. 140.  Resta R 1994. Rev. Mod. Phys. 66:899–915
    [Google Scholar]
  141. 141.  King-Smith RD, Vanderbilt D 1993. Phys. Rev. B 47:1651–54
    [Google Scholar]
  142. 142.  Stafford CA, Millis AJ 1993. Phys. Rev. B 48:1409–25
    [Google Scholar]
  143. 143.  Liu M, Hwang HY, Tao H, Strikwerda AC, Fan K et al. 2012. Nature 487:345–48
    [Google Scholar]
  144. 144.  Fedotov AM, Narozhny NB, Mourou G, Korn G 2010. Phys. Rev. Lett. 105:080402
    [Google Scholar]
  145. 145.  Mayer B, Schmidt C, Grupp A, Bühler J, Oelmann J et al. 2015. Phys. Rev. B 91:235113
    [Google Scholar]
  146. 146.  Yamakawa H, Miyamoto T, Morimoto T, Terashige T, Yada H et al. 2017. Nat. Mater. 16:1100–5
    [Google Scholar]
  147. 147.  Mukai Y, Hirori H, Yamamoto T, Kageyama H, Tanaka K 2016. New J. Phys. 18:013045
    [Google Scholar]
  148. 148.  Knap M, Babadi M, Refael G, Martin I, Demler E 2016. Phys. Rev. B 94:214504
    [Google Scholar]
  149. 149.  Rozenberg MJ, Inoue IH, Sánchez MJ 2004. Phys. Rev. Lett. 92:178302
    [Google Scholar]
  150. 150.  Sow C, Yonezawa S, Kitamura S, Oka T, Kuroki K et al. 2017. Science 358:1084–87
    [Google Scholar]
  151. 151.  Silva REF, Blinov IV, Rubtsov AN, Smirnova O, Ivanov M 2018. Nat. Photonics 12:266–70
    [Google Scholar]
  152. 152.  Murakami Y, Eckstein M, Werner P 2018. Phys. Rev. Lett. 121:057405
    [Google Scholar]
  153. 153.  Martin I, Refael G, Halperin B 2017. Phys. Rev. X 7:041008
    [Google Scholar]
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