1932

Abstract

This article summarizes some of the relevant features exhibited by binary mixtures of Bose–Einstein condensates in the presence of coherent coupling at zero temperature. The coupling, which is experimentally produced by proper photon transitions, can involve either negligible momentum transfer from the electromagnetic radiation (Rabi coupling) or large momentum transfer (Raman coupling) associated with spin–orbit effects. The nature of the quantum phases exhibited by coherently coupled mixtures is discussed in detail, including their paramagnetic, ferromagnetic, and, in the case of spin–orbit coupling, supersolid phases. The behavior of the corresponding elementary excitations is discussed, with explicit emphasis on the novel features caused by the spin-like degree of freedom. Focus is further given to the topological excitations (solitons, vortices) as well as to the superfluid properties. This review also points out relevant open questions that deserve more systematic theoretical and experimental investigations.

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2022-03-10
2024-04-18
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Literature Cited

  1. 1. 
    Anderson MH, Ensher JR, Matthews MR, Wieman CE, Cornell EA 1995. Science 269:5221198–201
  2. 2. 
    Davis KB, Mewes MO, Andrews MR, van Druten NJ, Durfee DS et al. 1995. Phys. Rev. Lett. 75:223969–73
  3. 3. 
    Myatt CJ, Burt EA, Ghrist RW, Cornell EA, Wieman CE 1997. Phys. Rev. Lett. 78:4586–89
  4. 4. 
    Edwards DO, Brewer DF, Seligman P, Skertic M, Yaqub M 1965. Phys. Rev. Lett. 15:20773–75
  5. 5. 
    Baym G, Pethick C. 1978. The Physics of Liquid and Solid Helium, Part II KH Bennemann, JB Ketterson 1–122 New York: John Wiley & Sons
  6. 6. 
    Bychkov YA, Rashba EI 1984. J. Phys. C: Solid State Phys. 17:336039–45
  7. 7. 
    Dresselhaus G 1955. Phys. Rev. 100:2580–86
  8. 8. 
    Lavoine L, Hammond A, Recati A, Petrov D, Bourdel T. 2021. Phys. Rev. Lett. 127:20203402
  9. 9. 
    Petrov DS 2015. Phys. Rev. Lett. 115:15155302
  10. 10. 
    Cappellaro A, Macrì T, Bertacco GF, Salasnich L 2017. Sci. Rep. 7:113358
  11. 11. 
    Sachdeva R, Tengstrand MN, Reimann SM 2020. Phys. Rev. A 102:4043304
  12. 12. 
    Sánchez-Baena J, Boronat J, Mazzanti F 2020. Phys. Rev. A 102:5053308
  13. 13. 
    Barbiero L, Abad M, Recati A 2016. Phys. Rev. A 93:3033645
  14. 14. 
    Bornheimer U, Vasić I, Hofstetter W 2017. Phys. Rev. A 96:6063623
  15. 15. 
    Zhang S, Cole WS, Paramekanti A, Trivedi N 2015. Annu. Rev. Cold Atoms Mol. 3:135–79
  16. 16. 
    Hamner C, Zhang Y, Khamehchi MA, Davis MJ, Engels P 2015. Phys. Rev. Lett. 114:7070401
  17. 17. 
    Kartashov YV, Konotop VV, Zezyulin DA, Torner L 2016. Phys. Rev. Lett. 117:21215301
  18. 18. 
    Yamamoto D, Spielman IB, Sá de Melo CAR 2017. Phys. Rev. A 96:6061603
  19. 19. 
    Cornell EA, Hall DS, Matthews MR, Wieman CE 1998. J. Low Temp. Phys. 113:3151–65
  20. 20. 
    Abad M, Recati A 2013. Eur. Phys. J. D 67:148
  21. 21. 
    Goldstein EV, Meystre P 1997. Phys. Rev. A 55:42935–40
  22. 22. 
    Blakie PB, Ballagh RJ, Gardiner CW 1999. J. Opt. B: Quantum Semiclassical Opt. 1:4378–82
  23. 23. 
    Matthews MR, Anderson BP, Haljan PC, Hall DS, Holland MJ et al. 1999. Phys. Rev. Lett. 83:173358–61
  24. 24. 
    Williams J, Walser R, Cooper J, Cornell EA, Holland M 2000. Phys. Rev. A 61:3033612
  25. 25. 
    Sachdev S 1999. Quantum Phase Transitions Cambridge, UK: Cambridge Univ. Press
  26. 26. 
    Zibold T, Nicklas E, Gross C, Oberthaler MK 2010. Phys. Rev. Lett. 105:20204101 https://doi.org/10.1103/PhysRevLett.105.204101
    [Crossref]
  27. 27. 
    Nicklas E, Karl M, Höfer M, Johnson A, Muessel W et al. 2015. Phys. Rev. Lett. 115:24245301
  28. 28. 
    Pitaevskii LP, Stringari S 2003. Bose–Einstein Condensation Oxford, UK: Oxford Sci. Publ.
  29. 29. 
    Tommasini P, de Passos EJV, de Toledo Piza AFR, Hussein MS, Timmermans E 2003. Phys. Rev. A 67:023606
  30. 30. 
    Pethick CJ, Smith H 2002. Bose–Einstein Condensation in Dilute Gases Cambridge, UK: Cambridge Univ. Press
  31. 31. 
    Recati A, Piazza F 2019. Phys. Rev. B 99:6064505
  32. 32. 
    Mermin ND, Ho TL 1976. Phys. Rev. Lett. 36:11594–97
  33. 33. 
    Nikuni T, Williams JE 2003. J. Low Temp. Phys. 133:5323–75
  34. 34. 
    Bar'yakhtar VG, Ivanov BA 2015. Low Temp. Phys. 41:9663–69
  35. 35. 
    Smerzi A, Fantoni S, Giovanazzi S, Shenoy SR 1997. Phys. Rev. Lett. 79:254950–53
  36. 36. 
    Raghavan S, Smerzi A, Fantoni S, Shenoy S 1999. Phys. Rev. A 59:1620–33
  37. 37. 
    Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M, Oberthaler M 2005. Phys. Rev. Lett. 95:1010402
  38. 38. 
    Schumm T, Hofferberth S, Andersson LM, Wildermuth S, Groth S et al. 2005. Nat. Phys. 1:157–62
  39. 39. 
    Levy S, Lahoud E, Shomroni I, Steinhauer J 2007. Nature 449:7162579–83
  40. 40. 
    Trenkwalder A, Spagnolli G, Semeghini G, Coop S, Landini M et al. 2016. Nat. Phys. 12:9826–29
  41. 41. 
    Spagnolli G, Semeghini G, Masi L, Ferioli G, Trenkwalder A et al. 2017. Phys. Rev. Lett. 118:23230403
  42. 42. 
    Nicklas E, Strobel H, Zibold T, Gross C, Malomed BA et al. 2011. Phys. Rev. Lett. 107:19193001
  43. 43. 
    Cross MC, Hohenberg PC 1993. Rev. Mod. Phys. 65:3851–1112
  44. 44. 
    Matuszewski M 2010. Phys. Rev. Lett. 105:2020405
  45. 45. 
    Kronjäger J, Becker C, Soltan-Panahi P, Bongs K, Sengstock K 2010. Phys. Rev. Lett. 105:9090402
  46. 46. 
    Bernier NR, Dalla Torre EG, Demler E 2014. Phys. Rev. Lett. 113:6065303
  47. 47. 
    Farolfi A, Zenesini A, Trypogeorgos D, Mordini C, Gallemì A et al. 2021. Nat. Phys. 17:135963
  48. 48. 
    Son DT, Stephanov MA 2002. Phys. Rev. A 65:6063621
  49. 49. 
    Tanaka Y 2001. Phys. Rev. Lett. 88:1017002
  50. 50. 
    Qu C, Tylutki M, Stringari S, Pitaevskii LP 2017. Phys. Rev. A 95:3033614
  51. 51. 
    Tabor M 1989. Chaos and Integrability in Nonlinear Dynamics New York: John Wiley & Sons
  52. 52. 
    Usui A, Takeuchi H 2015. Phys. Rev. A 91:6063635
  53. 53. 
    Gallemí A, Pitaevskii LP, Stringari S, Recati A 2019. Phys. Rev. A 100(2):023607. https://doi.org/10.1103/PhysRevA.100.023607
    [Crossref]
  54. 54. 
    Ihara K, Kasamatsu K 2019. Phys. Rev. A 100:1013630
  55. 55. 
    Kasamatsu K, Tsubota M, Ueda M 2004. Phys. Rev. Lett. 93:25250406
  56. 56. 
    Eto M, Nitta M 2018. Phys. Rev. A 97:2023613
  57. 57. 
    Tylutki M, Pitaevskii LP, Recati A, Stringari S 2016. Phys. Rev. A 93:4043623
  58. 58. 
    Kang S, Seo SW, Takeuchi H, Shin Y 2019. Phys. Rev. Lett. 122:9095301
  59. 59. 
    Lin YJ, Compton RL, Jiménez-García K, Porto JV, Spielman IB 2009. Nature 462:7273628–32
  60. 60. 
    Lin YJ, Jiménez-García K, Spielman IB 2011. Nature 471:733683–86
  61. 61. 
    Galitski V, Spielman IB 2013. Nature 494:743549–54
  62. 62. 
    Dalibard J. 2016. Proceedings of the International School of Physics “Enrico Fermi” Course 191 M Inguscio, W Ketterle, S Stringari, G Roati 1–61 Amsterdam: IOS Press
  63. 63. 
    Galitski V, Juzeliūnas G, Spielman IB 2019. Phys. Today 72:138–44
  64. 64. 
    Wang P, Yu ZQ, Fu Z, Miao J, Huang L et al. 2012. Phys. Rev. Lett. 109:9095301
  65. 65. 
    Cheuk LW, Sommer AT, Hadzibabic Z, Yefsah T, Bakr WS, Zwierlein MW 2012. Phys. Rev. Lett. 109:9095302
  66. 66. 
    Zhai H 2015. Rep. Prog. Phys. 78:2026001
  67. 67. 
    Li Y, Martone GI, Stringari S 2015. Annu. Rev. Cold Atoms Mol. 3:201–50
  68. 68. 
    Li JR, Lee J, Huang W, Burchesky S, Shteynas B et al. 2017. Nature 543:764391–94
  69. 69. 
    Putra A, Salces-Cárcoba F, Yue Y, Sugawa S, Spielman IB 2020. Phys. Rev. Lett. 124:5053605
  70. 70. 
    Zheng W, Yu ZQ, Cui X, Zhai H 2013. J. Phys. B: Atom. Mol. Opt. Phys. 46:13134007
  71. 71. 
    Zhang JY, Ji SC, Chen Z, Zhang L, Du ZD et al. 2012. Phys. Rev. Lett. 109:11115301
  72. 72. 
    Khamehchi MA, Hossain K, Mossman ME, Zhang Y, Busch T et al. 2017. Phys. Rev. Lett. 118:15155301
  73. 73. 
    Li Y, Martone GI, Stringari S 2012. Europhys. Lett. 99:556008
  74. 74. 
    Ji SC, Zhang L, Xu XT, Wu Z, Deng Y et al. 2015. Phys. Rev. Lett. 114(10):105301. https://doi.org/10.1103/PhysRevLett.114.105301
    [Crossref]
  75. 75. 
    Ho TL, Zhang S 2011. Phys. Rev. Lett. 107:15150403
  76. 76. 
    Martone GI, Li Y, Stringari S 2014. Phys. Rev. A 90:4041604
  77. 77. 
    Martone GI, Li Y, Pitaevskii LP, Stringari S 2012. Phys. Rev. A 86:6063621
  78. 78. 
    Stringari S 1996. Phys. Rev. Lett. 77:122360–63
  79. 79. 
    Li Y, Martone GI, Pitaevskii LP, Stringari S 2013. Phys. Rev. Lett. 110(23):235302. https://doi.org/10.1103/PhysRevLett.110.235302
    [Crossref]
  80. 80. 
    Geier KT, Martone GI, Hauke P, Stringari S 2021. Phys. Rev. Lett. 127:115301. https://doi.org/10.1103/PhysRevLett.127.115301
    [Crossref]
  81. 81. 
    Chen L, Pu H, Yu ZQ, Zhang Y 2017. Phys. Rev. A 95:3033616
  82. 82. 
    Zhu Q, Zhang C, Wu B 2012. Eur. Phys. Lett. 100:50003
  83. 83. 
    Ozawa T, Pitaevskii LP, Stringari S 2013. Phys. Rev. A 87:6063610
  84. 84. 
    Baym G. 1968. Mathematical Methods in Solid State and Superfluid Theory RC Clark, GH Derrick 121–56 Edinburgh, UK: Oliver & Boyd
  85. 85. 
    Chen XL, Wang J, Li Y, Liu XJ, Hu H 2018. Phys. Rev. A 98:1013614
  86. 86. 
    Sánchez-Baena J, Boronat J, Mazzanti F 2020. Phys. Rev. A 101:4043602
  87. 87. 
    Guéry-Odelin D, Stringari S 1999. Phys. Rev. Lett. 83:224452–55
  88. 88. 
    Roccuzzo SM, Gallemí A, Recati A, Stringari S 2020. Phys. Rev. Lett. 124:4045702
  89. 89. 
    Maragò OM, Hopkins SA, Arlt J, Hodby E, Hechenblaikner G, Foot CJ 2000. Phys. Rev. Lett. 84:102056–59
  90. 90. 
    Ferrier-Barbut I, Wenzel M, Böttcher F, Langen T, Isoard M et al. 2018. Phys. Rev. Lett. 120:16160402
  91. 91. 
    Tanzi L, Maloberti JG, Biagioni G, Fioretti A, Gabbanini C, Modugno G 2021. Science 371:65341162–65
  92. 92. 
    Stringari S 2017. Phys. Rev. Lett. 118:14145302
  93. 93. 
    Qu C, Stringari S 2018. Phys. Rev. Lett. 120:18183202
  94. 94. 
    Radić J, Sedrakyan TA, Spielman IB, Galitski V 2011. Phys. Rev. A 84:6063604
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