Spatiotemporal Bloch states of a spin-orbit coupled Bose-Einstein condensate in an optical lattice

doi:10.1088/1674-1056/28/5/056701

中国物理B ›› 2019, Vol. 28 ›› Issue (5): 56701-056701.doi: 10.1088/1674-1056/28/5/056701

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Spatiotemporal Bloch states of a spin-orbit coupled Bose-Einstein condensate in an optical lattice

Ya-Wen Wei(魏娅雯), Chao Kong(孔超), Wen-Hua Hai(海文华)

Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

收稿日期:2018-10-31 修回日期:2019-02-06 出版日期:2019-05-05 发布日期:2019-05-05
通讯作者: Wen-Hua Hai E-mail:whhai2005@aliyun.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11475060).

Spatiotemporal Bloch states of a spin-orbit coupled Bose-Einstein condensate in an optical lattice

Ya-Wen Wei(魏娅雯), Chao Kong(孔超), Wen-Hua Hai(海文华)

Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

Received:2018-10-31 Revised:2019-02-06 Online:2019-05-05 Published:2019-05-05
Contact: Wen-Hua Hai E-mail:whhai2005@aliyun.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11475060).

摘要/Abstract

摘要：

We study the spatiotemporal Bloch states of a high-frequency driven two-component Bose-Einstein condensate (BEC) with spin-orbit coupling (SOC) in an optical lattice. By adopting the rotating-wave approximation (RWA) and applying an exact trial-solution to the corresponding quasistationary system, we establish a different method for tuning SOC via external field such that the existence conditions of the exact particular solutions are fitted. Several novel features related to the exact states are demonstrated; for example, SOC leads to spin-motion entanglement for the spatiotemporal Bloch states, SOC increases the population imbalance of the two-component BEC, and SOC can be applied to manipulate the stable atomic flow which is conducive to control quantum transport of the BEC for different application purposes.

关键词: Bose-Einstein condensate, spin-orbit coupling, spatiotemporal Bloch state, spin-motion entanglement, stable atomic flow, high-frequency limit

Abstract:

Key words: Bose-Einstein condensate, spin-orbit coupling, spatiotemporal Bloch state, spin-motion entanglement, stable atomic flow, high-frequency limit

中图分类号: (Bose-Einstein condensates in optical potentials)

67.85.Hj

03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations) 71.70.Ej (Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect) 05.60.Gg (Quantum transport)

魏娅雯, 孔超, 海文华. Spatiotemporal Bloch states of a spin-orbit coupled Bose-Einstein condensate in an optical lattice[J]. 中国物理B, 2019, 28(5): 56701-056701.

Ya-Wen Wei(魏娅雯), Chao Kong(孔超), Wen-Hua Hai(海文华). Spatiotemporal Bloch states of a spin-orbit coupled Bose-Einstein condensate in an optical lattice[J]. Chin. Phys. B, 2019, 28(5): 56701-056701.

参考文献 59

[1]	Zhang Y P, Mao L and Zhang C W 2012 Phys. Rev. Lett. 108 035302 doi: 10.1103/PhysRevLett.108.035302
[2]	Elliott R J 1954 Phys. Rev. 96 280 doi: 10.1103/PhysRev.96.280
[3]	Dresselhaus G, Kip A F and Kittel C 1954 Phys. Rev. 95 568 doi: 10.1103/PhysRev.95.568
[4]	Dresselhaus G 1955 Phys. Rev. 100 580 doi: 10.1103/PhysRev.100.580
[5]	Rashba E I 1960 Sov. Phys. Solid State 2 1224
[6]	Liu L, Chen W X, Wang R Q and Hu L B 2018 Chin. Phys. B 27 047201 doi: 10.1088/1674-1056/27/4/047201
[7]	Tang Z H, Yao T X and Liu J J 2017 Chin. Phys. B 26 117203 doi: 10.1088/1674-1056/26/11/117203
[8]	Zhang L 2018 Chin. Phys. B 27 067203 doi: 10.1088/1674-1056/27/6/067203
[9]	Lin Y J, Jiménez-García K and Spielman I B 2011 Nature 471 83 doi: 10.1038/nature09887
[10]	Galitski V and Spielman I B 2013 Nature 494 49
[11]	Huang F J, Chen Q H, and Liu W M 2014 Phys. Rev. A 89 033624 doi: 10.1103/PhysRevA.89.033624
[12]	Xie W F, He Y Z and Bao C G 2015 Chin. Phys. B 24 060305 doi: 10.1088/1674-1056/24/6/060305
[13]	Yu Z F and Xue J K 2014 Phys. Rev. A 90 033618 doi: 10.1103/PhysRevA.90.033618
[14]	Zhang X F, Kato M, Han W, Zhang S G, and Saito H 2017 Phys. Rev. A 95 033620 doi: 10.1103/PhysRevA.95.033620
[15]	Liang Z X, Zhang Z D and Liu W M 2005 Phys. Rev. Lett. 94 050402 doi: 10.1103/PhysRevLett.94.050402
[16]	Li Z J, Hai W H and Deng Y 2013 Chin. Phys. B 22 090505 doi: 10.1088/1674-1056/22/9/090505
[17]	Hai W H, Lee C H, Chong G S and Shi L 2002 Phys. Rev. E 66 026202 doi: 10.1103/PhysRevE.66.026202
[18]	Lee C H, Hai W H, Shi L, Zhu X W and Gao K L 2001 Phys. Rev. A 64 053604 doi: 10.1103/PhysRevA.64.053604
[19]	Zhou Z, Hai W H, Deng Y and Xie Q T 2012 Chaos Solitons & Fractals 45 1423 doi: Solitons
[20]	Liu L W, Gengzang D J, An X J and Wang P Y 2018 Chin. Phys. B 27 034205 doi: 10.1088/1674-1056/27/3/034205
[21]	Abdullaev F K and Kraenkel R A 2000 Phys. Rev. A 62 023613 doi: 10.1103/PhysRevA.62.023613
[22]	Fujioka J, Cortés E, Pérez-Pascual R, Rodríguez R F, Espinosa A and Malomed B A 2011 Chaos 21 033120 doi: 10.1063/1.3629985
[23]	Xu J, Hai W H and Li H 2007 Chin. Phys. B 16 2244 doi: 10.1088/1009-1963/16/8/015
[24]	Bronski J C, Carr L D, Deconinck B and Kutz J N 2001 Phys. Rev. Lett. 86 1402 doi: 10.1103/PhysRevLett.86.1402
[25]	Deconinck B, Kutz J N, Patterson M S and Warner B W 2003 J. Phys. A: Math. Gen. 36 5431 doi: 10.1088/0305-4470/36/20/306
[26]	Kostov N A, Enol'skii V Z, Gerdjikov V S, Konotop V V and Salerno M 2004 Phys. Rev. E 70 056617 doi: 10.1103/PhysRevE.70.056617
[27]	Zhang H F, Chen W, Yu C C, Sun L H and Xu D H 2017 Chin. Phys. B 26 080304 doi: 10.1088/1674-1056/26/8/080304
[28]	Bronski J C, Carr L D, Deconinck B, Kutz J N and Promislow K 2001 Phys. Rev. E 63 036612 doi: 10.1103/PhysRevE.63.036612
[29]	Hai W H, Li C H, Fang X M and Gao K L 2004 Physica A 335 445 doi: 10.1016/j.physa.2003.12.010
[30]	Theodorakis S and Leontidis E 1997 J. Phys. A: Math. Gen. 30 4835 doi: 10.1088/0305-4470/30/13/031
[31]	Hai W H, Li Y, Xia B and Luo X 2005 Europhys. Lett 71 28 doi: 10.1209/epl/i2005-10070-x
[32]	Deng H M, Hai W H and Zhu Q Q 2006 J. Phys. A: Math. Gen. 39 49 doi: 10.1088/0305-4470/39/2/L01
[33]	Deconinck B, Frigyik B A and Kutz J N 2001 Phys. Lett. A 283 177 doi: 10.1016/S0375-9601(01)00243-2
[34]	Hai W H, Chong G S, Xie Q T and Lu J 2004 Eur. Phys. J. D 28 267 doi: 10.1140/epjd/e2003-00312-5
[35]	Lü H, Zhu S B, Qian J and Wang Y Z 2015 Chin. Phys. B 24 090308 doi: 10.1088/1674-1056/24/9/090308
[36]	Liu W M and Li J 2018 Acta Phys. Sin. 67 110302 (in Chinese)
[37]	Zhang H F, Chen F, Yu C C, Sun L H and Xu D H 2017 Chin. Phys. B 26 080304 doi: 10.1088/1674-1056/26/8/080304
[38]	Cook R J, Shankland D G and Wells A L 1985 Phys. Rev. A 31 564 doi: 10.1103/PhysRevA.31.564
[39]	Kayanuma Y and Saito K 2008 Phys. Rev. A 77 010101 doi: 10.1103/PhysRevA.77.010101
[40]	Yuan L M, Xu Y G, Gao W, Dai F and Wu Q L 2018 Chin. Phys. B 27 044101 doi: 10.1088/1674-1056/27/4/044101
[41]	Salerno M, Abdullaev F K, Gammal A and Tomio L 2016 Phys. Rev. A 94 043602 doi: 10.1103/PhysRevA.94.043602
[42]	Jiménez-García K, LeBlanc L J, Williams R A, Beeler M C, Qu C, Gong M, Zhang C and Spielman I B 2015 Phys. Rev. Lett. 114 125301 doi: 10.1103/PhysRevLett.114.125301
[43]	Leibfried D, Blatt R, Monroe C and Wineland D 2003 Rev. Mod. Phys. 75 281 doi: 10.1103/RevModPhys.75.281
[44]	Mizrahi J, Senko C, Neyenhuis B, Johnson K G, Campbell W C, Conover C W S and Monroe C 2013 Phys. Rev. Lett. 110 203001 doi: 10.1103/PhysRevLett.110.203001
[45]	Hai K, Luo Y R, Chong G S, Chen H and Hai W H 2017 Quantum Inf. Comput. 17 456
[46]	Monroe C, Meekhof D M, King B E and Wineland D J 1996 Science 272 1131 doi: 10.1126/science.272.5265.1131
[47]	Kong C, Chen H, Li C L and Hai W H 2018 Chaos 28 023115 doi: 10.1063/1.5009534
[48]	Nakamura Y, Pashkin Y A and Tsai J S 1999 Nature 398 786 doi: 10.1038/19718
[49]	Romero-Isart O and García-Ripoll J J 2007 Phys. Rev. A 76 052304 doi: 10.1103/PhysRevA.76.052304
[50]	Luo Y R, Lu G B, Kong C and Hai W H 2016 Phys. Rev. A 93 043409 doi: 10.1103/PhysRevA.93.043409
[51]	Arlinghaus S and Holthaus M 2011 Phys. Rev. A 84 063617 doi: 10.1103/PhysRevA.84.063617
[52]	Paul T, Richter K and Schlagheck P 2005 Phys. Rev. Lett. 94 020404 doi: 10.1103/PhysRevLett.94.020404
[53]	Salger T, Kling S, Hecking T, Geckeler C, Morales-Molina L and Weitz M 2009 Science 326 1241 doi: 10.1126/science.1179546
[54]	Cheng Y S, Tang G H and Adhikari S K 2014 Phys. Rev. A 89 063602 doi: 10.1103/PhysRevA.89.063602
[55]	Chen Y A, Nascimbéne S, Aidelsburger M, Atala M, Trotzky S and Bloch I 2011 Phys. Rev. Lett. 107 210405 doi: 10.1103/PhysRevLett.107.210405
[56]	Ma R, Tai M E, Preiss P M, Bakr W S, Simon J and Greiner M 2011 Phys. Rev. Lett. 107 095301 doi: 10.1103/PhysRevLett.107.095301
[57]	Blatt S, Nicholson T L, Bloom B J, Williams J R, Thomsen J W, Julienne P S and Ye J 2011 Phys. Rev. Lett. 107 073202 doi: 10.1103/PhysRevLett.107.073202
[58]	Inouye S, Andrews M R, Stengeretal J, Miesner H J, Stamper-Kurn D M and Ketterle W 1998 Nature 392 151 doi: 10.1038/32354
[59]	Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150 doi: 10.1038/nature747

Spatiotemporal Bloch states of a spin-orbit coupled Bose-Einstein condensate in an optical lattice

Spatiotemporal Bloch states of a spin-orbit coupled Bose-Einstein condensate in an optical lattice

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