Abstract We present numerical results of a one-dimensional spin-orbit coupled Bose-Einstein condensate expanding in a speckle disorder potential by employing the Gross-Pitaevskii equation. Localization properties of a spin-orbit coupled Bose-Einstein condensate in zero-momentum phase, magnetic phase and stripe phase are studied. It is found that the localizing behavior in the zero-momentum phase is similar to the normal Bose-Einstein condensate. Moreover, in both magnetic phase and stripe phase, the localization length changes non-monotonically as the fitting interval increases. In magnetic phases, the Bose-Einstein condensate will experience spin relaxation in disorder potential.
(Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect)
Fund: Y. S. Zhang thanks Professor Chuanwei Zhang for drawing our attention to the topic of Anderson localization of BECs. This work was supported by the National Natural Science Foundation of China (Grant No. 92065113) and the National Key R&D Program. The calculation on GPU was performed on the supercomputing system in the Supercomputing Center of University of Science and Technology of China.
Huan Zhang(张欢), Sheng Liu(刘胜), and Yongsheng Zhang(张永生) Anderson localization of a spin-orbit coupled Bose-Einstein condensate in disorder potential 2022 Chin. Phys. B 31 070305
[1] Anderson P W 1958 Phys. Rev.109 1492 [2] Mott N F 1949 Proc. Phys. Soc. London A62 416 [3] Abrahams E, Anderson P W, Licciarello D C and Ramakrishana T V 1979 Phys. Rev. Lett.42 673 [4] Izrailev F M and Makarov N M 2009 Phys. Rev. Lett.102 203901 [5] Kramer B and MacKinnon A 1993 Rep. Prog. Phys.56 1469 [6] Lee P A 1985 Rev. Mod. Phys.57 287 [7] Billy J Josse V, Zuo Z, Bernard A, Hambrecht B, Lugan P, Clément D, Sanchez-Palencia L, Bouyer P and Aspect A 2008 Nature453 891 [8] Roati G, D'Errico C, Fallani L, Fattori M, Fort C, Zaccanti M, Modugno G, Modugno M and Inguscio M 2008 Nature453 895 [9] Schwartz T, Bartal G, Fishman S and Segev M 2007 Nature446 52 [10] Lahini Y, Avidan A, Pozzi F, Sorel M, Morandotti R, Christodoulides D N and Silberberg Y 2008 Phys. Rev. Lett.100 013906 [11] Hikami S, Larkin A and Nagaoka Y 1980 Prog. Theor. Phys63 707 [12] Kohmoto M and Tobe D 2008 Phys. Rev. B77 134204 [13] Georgescu I M, Ashhab S and Nori F 2014 Rev. Mod. Phys.86 153 [14] Byczuk K, Hofstetter W and Vollhardt D 2005 Phys. Rev. Lett.94 056404 [15] Cai X, Lang L J, Chen S and Wang Y 2013 Phys. Rev. Lett.110 176403 [16] Liu S, Zhou X F, Guo G C and Zhang Y S 2016 Sci. Rep.6 22623 [17] Sanchez-Palencia L, Clément D, Lugan P, Bouyer P, Shlyapnikov G V and Aspect A 2007 Phys. Rev. Lett.98 210401 [18] Piraud M, Lugan P, Bouyer P, Aspect A and Sanchez-Palencia L 2011 Phys. Rev. A83 031603 [19] Valdes J P R and Wellens T 2016 Phys. Rev. A93 063634 [20] Donsa S, Hofstätter H, Koch O, Burgdörfer J and Březinová I 2017 Phys. Rev. A96 043630 [21] Lin Y J, Jiménez-García K and Spielman I 2011 Nature471 83 [22] Wu Z, Zhang L, Sun W, Xu X T, Wang B Z, Ji S C, Deng Y, Chen S, Liu X J and Pan J W 2016 Science354 83 [23] Zhai H 2015 Rep. Prog. Phys.78 026001 [24] Zhou L, Pu H and Zhang W 2013 Phys. Rev. A87 023625 [25] Cheng Y S, Tang G H and Adhikari S K 2014 Phys. Rev. A89 063602 [26] Oztas Z 2018 Phys. Lett. A383 504 [27] Mardonov S, Modugno M and Sherman E Y 2015 Phys. Rev. Lett.115 180402 [28] Orso G 2017 Phys. Rev. Lett.118 105301 [29] Qu C, Pitaevskii L P and Stringari S 2017 New J. Phys.19 085006 [30] Bychkov Y A and Rashba E I 1984 J. Phys. C17 6039 [31] Dresselhaus G 1955 Phys. Rev.100 580 [32] Zhang Y, Mossman M E, Busch T, Engels P and Zhang C 2016 Fron. Phys.11 118103 [33] Li Y, Pitaevskii P L and Stringari S 2012 Phys. Rev. Lett.108 225301 [34] Clément D, Varón A F, Retter J A, Sanchez-Palencia L, Aspect A and Bouyer P 2006 New J. Phys.8 165 [35] Auzinger W, Hofstätter H, Ketcheson D and Koch O 2017 BIT57 55 [36] Dyakonov M and Perel V 1972 Sov. Phys. Solid State13 3023 [37] Khamehchi M A, Hossain K, Mossman M E, Zhang Y, Busch T, Forbes M M and Engels P 2017 Phys. Rev. Lett.118 155301 [38] Zheng W, Yu Z Q, Cui X and Zhai H 2013 J. Phys. B46 134007 [39] Zhu Q, Zhang C and Wu B 2012 Europhys. Lett.100 50003 [40] Ozawa T, Pitaevskii L P and Stringari S 2013 Phys. Rev. A87 063610
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