Landau-like quantized levels of neutral atom induced by a dark-soliton shaped electric field

doi:10.1088/1674-1056/ab5938

Abstract Motivated by the fascinating progresses in the cold atom experiments and theories, especially the artificial gauge field induced spin-orbit coupling of neutral atoms, we present a novel dispersion of neutral atoms carrying a non-vanishing magnetic moment in a special gauge field, an external electric field of dark-soliton shaped profile. By means of WKB approximation, we obtain discrete quantized landau-like energy levels, which is instructive for the quantum Hall effect of neutral particles. The observability of the results is also discussed.

Keywords: Landau level cold atom Rashba spin-orbit coupling

Received: 08 August 2019
Revised: 23 October 2019
Accepted manuscript online:

PACS:	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	03.65.Vf	(Phases: geometric; dynamic or topological)
	11.30.Pb	(Supersymmetry)
	73.43.-f	(Quantum Hall effects)

Fund: Project supported by China Scholarship Council, Shanxi Province Natural Science Foundation, China (Grant No. 201601D011009), the Enterprise Project (Grant No. 01110116100051), Shanxi 1331KSC and 111 Project (Grant No. D18001), and the National Natural Science Foundation of China (Grant Nos. 11404415 and 61873154).

Corresponding Authors: Yueming Wang
E-mail: wang_ym@sxu.edu.cn

Cite this article:

Yueming Wang(王月明), Zhen Jin(靳祯) Landau-like quantized levels of neutral atom induced by a dark-soliton shaped electric field 2020 Chin. Phys. B 29 010303

[1]	Prange R E and Girvin S M (Eds.) 1990 The Quantum Hall Effect (New York: Springerverlag)
[2]	Aharonov Y and Casher A 1984 Phys. Rev. Lett. 53 319
[3]	Anandan J 1982 Phys. Rev. Lett. 48 1660
[4]	Cimmino A, Opat G I, Klein A G, Kaiser H, Werner S A, Arif M and Clothier R 1989 Phys. Rev. Lett. 63 380
[5]	Sangster K, Hinds E A, Barnett S M and Riis E 1993 Phys. Rev. Lett. 71 3641
[6]	Ericsson M and Erik S 2001 Phys. Rev. A 65 013607
[7]	Furtado C, Nascimento J R and Ribeiro L R 2006 Phys. Lett. A 358 336
[8]	Lin Y J, Compton R L, Perry A R, Phillips W D, Porto J V and Spielman I B 2009 Phys. Rev. Lett. 102 130401
[9]	Lin Y J, Compton R L, Jiménez-García K, Porto J V and Spielman I B 2009 Nature 462 628
[10]	Wang P J, Yu Z Q, Fu Z K, Miao J, Huang L H, Chai S J, Zhai H and Zhang J 2012 Phys. Rev. Lett. 109 095301
[11]	Huang L G, Meng Z M, Wang P J, Peng P, Zhang S L, Chen L C, Li D H, Zhou Q and Zhang J 2016 Nat. Phys. 12 540
[12]	Xu X T, Wang B Z, Ji S C, Deng Y J, Chen S, Liu X J and Pan J W 2016 Science 354 83
[13]	Galitski V, Juzeliunas G and Spielman I B 2019 Physics Today 72 38
[14]	Dalibard J, Gerbier F, Juzeliunas G and Patrik Ö 2011 Rev. Mod. Phys. 83 1523
[15]	Zhu S L, Wang B G and Duan L M 2007 Phys. Rev. Lett. 98 260402
[16]	Anglin J R and Ketterle W 2002 Nature 416 211
[17]	Bloch I 2005 Nat. Phys. 1 23
[18]	Jaksch D, Bruder C, Cirac J I, Gardiner C W and Zoller P 1998 Phys. Rev. Lett. 81 3108
[19]	Duan L M, Demler E and Lukin M D 2003 Phys. Rev. Lett. 91 090402
[20]	Banerjee S, Hans Ågren and Balatsky A V 2016 Phys. Rev. B 93 235134
[21]	Haar D T 1960 Problems in Quantum Mechanics (London: Infosearch Limited)
[22]	Trypogeorgos D, Harte T, Bonnin A and Foot C 2013 Opt. Express 21 24837

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Landau-like quantized levels of neutral atom induced by a dark-soliton shaped electric field

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