Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential

doi:10.1088/1674-1056/ab5efc

中国物理B ›› 2020, Vol. 29 ›› Issue (1): 10307-010307.doi: 10.1088/1674-1056/ab5efc

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential

Ai-Xia Zhang(张爱霞), Ying Zhang(张莹), Yan-Fang Jiang(姜艳芳), Zi-Fa Yu(鱼自发), Li-Xia Cai(蔡丽霞), Ju-Kui Xue(薛具奎)

College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China

收稿日期:2019-08-23 修回日期:2019-11-28 出版日期:2020-01-05 发布日期:2020-01-05
通讯作者: Ai-Xia Zhang, Ju-Kui Xue E-mail:zhangax@nwnu.edu.cn;xuejk@nwnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11847304, 11865014, 11475027, 11305132, and 11274255), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and the Scientific Research Project of Gansu Higher Education Department, China (Grant No. 2016A-005).

Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential

Ai-Xia Zhang(张爱霞), Ying Zhang(张莹), Yan-Fang Jiang(姜艳芳), Zi-Fa Yu(鱼自发), Li-Xia Cai(蔡丽霞), Ju-Kui Xue(薛具奎)

College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China

Received:2019-08-23 Revised:2019-11-28 Online:2020-01-05 Published:2020-01-05
Contact: Ai-Xia Zhang, Ju-Kui Xue E-mail:zhangax@nwnu.edu.cn;xuejk@nwnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11764039, 11847304, 11865014, 11475027, 11305132, and 11274255), the Natural Science Foundation of Gansu Province, China (Grant No. 17JR5RA076), and the Scientific Research Project of Gansu Higher Education Department, China (Grant No. 2016A-005).

摘要/Abstract

摘要： We analytically and numerically discuss the stability and dynamics of neutral atoms in a two-dimensional optical lattice subjected to an additional harmonic trap potential and artificial magnetic field. The harmonic trap potential plays a key role in modifying the equilibrium state properties of the system and stabilizing the cyclotron orbits of the condensate. Meanwhile, the presence of the harmonic trap potential and lattice potential results in rich cyclotron dynamics of the condensate. The coupling effects of lattice potential, artificial magnetic field, and harmonic trap potential lead to single periodic, multi-periodic or quasi-periodic cyclotron orbits of the condensate. So we can control the cyclotron dynamics of neutral atoms in optical lattice by manipulating the strength of harmonic confinement, artificial magnetic field, and initial conditions. Our results provide a direct theoretical evidence for the cyclotron dynamics of neutral atoms in optical lattices exposed to the artificial gauge magnetic field and harmonic trap potential.

关键词: Bose-Einstein condensate, artificial magnetic field, optical lattice

Abstract: We analytically and numerically discuss the stability and dynamics of neutral atoms in a two-dimensional optical lattice subjected to an additional harmonic trap potential and artificial magnetic field. The harmonic trap potential plays a key role in modifying the equilibrium state properties of the system and stabilizing the cyclotron orbits of the condensate. Meanwhile, the presence of the harmonic trap potential and lattice potential results in rich cyclotron dynamics of the condensate. The coupling effects of lattice potential, artificial magnetic field, and harmonic trap potential lead to single periodic, multi-periodic or quasi-periodic cyclotron orbits of the condensate. So we can control the cyclotron dynamics of neutral atoms in optical lattice by manipulating the strength of harmonic confinement, artificial magnetic field, and initial conditions. Our results provide a direct theoretical evidence for the cyclotron dynamics of neutral atoms in optical lattices exposed to the artificial gauge magnetic field and harmonic trap potential.

Key words: Bose-Einstein condensate, artificial magnetic field, optical lattice

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

03.75.Mn (Multicomponent condensates; spinor condensates) 05.45.Yv (Solitons)

张爱霞, 张莹, 姜艳芳, 鱼自发, 蔡丽霞, 薛具奎. Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential[J]. 中国物理B, 2020, 29(1): 10307-010307.

Ai-Xia Zhang(张爱霞), Ying Zhang(张莹), Yan-Fang Jiang(姜艳芳), Zi-Fa Yu(鱼自发), Li-Xia Cai(蔡丽霞), Ju-Kui Xue(薛具奎). Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential[J]. Chin. Phys. B, 2020, 29(1): 10307-010307.

参考文献 41

[1]	Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885 doi: 10.1103/RevModPhys.80.885
[2]	Bloch I, Dalibard J and Nascimbène S 2012 Nat. Phys. 8 267 doi: 10.1038/nphys2259
[3]	Myatt C J, Burt E A, Ghrist R W, Cornell E A and Wieman C E 1997 Phys. Rev. Lett. 78 586 doi: 10.1103/PhysRevLett.78.586
[4]	Eckardt A 2017 Rev. Mod. Phys. 89 011004 doi: 10.1103/RevModPhys.89.011004
[5]	Aidelsburger M, Atala M, Nascimbène S, Trotzky S, Chen Y and Bloch I 2011 Phys. Rev. Lett. 107 255301
[6]	Struck J, Ölschläger C, Weinberg M, Hauke P, Simonet J, Eckardt A, Lewenstein M, Sengstock K and Windpassinger P 2012 Phys. Rev. Lett. 108 225304 doi: 10.1103/PhysRevLett.108.225304
[7]	Aidelsburger M, Atala M, Lohse M, Barreiro J T, Paredes B and Bloch I 2013 Phys. Rev. Lett. 111 185301 doi: 10.1103/PhysRevLett.111.185301
[8]	Miyake H, Siviloglou G A, Kennedy C J, Burton W C and Ketterle W 2013 Phys. Rev. Lett. 111 185302 doi: 10.1103/PhysRevLett.111.185302
[9]	Dalibard J, Gerbier F, Juzeliūnas G and Öhberg P 2011 Rev. Mod. Phys. 83 1523 doi: 10.1103/RevModPhys.83.1523
[10]	Lin Y J, Compton R L, Jiménez-Garcia K, Porto J V and Spielman I B 2009 Nature 462 628 doi: 10.1038/nature08609
[11]	Goldman N, Beugnon J and Gerbier F 2013 Eur. Phys. J. Spec. Top. 217 135 doi: 10.1140/epjst/e2013-01762-x
[12]	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 doi: 10.1103/PhysRevLett.102.130401
[13]	Struck J, Ölschläger C, Targat R L, Soltan-Panahi P, Eckardt A, Lewenstein M, Windpassinger P and Sengstock K 2011 Science 333 996 doi: 10.1126/science.1207239
[14]	Ye Q, Qin X, Li Y, Zhong H, Kivshar Y S and Lee C 2018 Ann. Phys. 388 173 doi: 10.1016/j.aop.2017.11.008
[15]	Yu X Q and Flach S 2014 Phys. Rev. E 90 032910 doi: 10.1103/PhysRevE.90.032910
[16]	Galitski V, Juzeliunas G and Spielman I 2019 Phys. Today 72 38
[17]	Aidelsburger M 2018 J. Phys. B: At. Mol. Opt. Phys. 51 193001 doi: 10.1088/1361-6455/aac120
[18]	Gerbier F and Dalibard J 2010 New J. Phys. 12 033007 doi: 10.1088/1367-2630/12/3/033007
[19]	Kasamatsu K and Sakashita K 2018 Phys. Rev. A 97 053622 doi: 10.1103/PhysRevA.97.053622
[20]	Orignac E, Citro R, Dio M D and Palo S D 2017 Phys. Rev. B 96 014518 doi: 10.1103/PhysRevB.96.014518
[21]	Towers J, Cormack S C and Hutchinson D A 2013 Phys. Rev. A 88 043625 doi: 10.1103/PhysRevA.88.043625
[22]	Chien C C and Ventra M D 2013 Phys. Rev. A 87 023609 doi: 10.1103/PhysRevA.87.023609
[23]	Chien C C, Peotta S and Ventra M D 2015 Nat. Phys. 11 998 doi: 10.1038/nphys3531
[24]	Iskin M 2012 Eur. Phys. J. B 85 76 doi: 10.1140/epjb/e2012-20852-5
[25]	Oktel M O, Niţă M and Tanatar B 2007 Phys. Rev. B 75 045133 doi: 10.1103/PhysRevB.75.045133
[26]	Salasnich L, Cardoso W B and Malomed B A 2014 Phys. Rev. A 90 033629 doi: 10.1103/PhysRevA.90.033629
[27]	Salasnich L and Malomed B A 2013 Phys. Rev. A 87 063625 doi: 10.1103/PhysRevA.87.063625
[28]	He P S, Zhu Y H and Liu W M 2014 Phys. Rev. A 89 053615 doi: 10.1103/PhysRevA.89.053615
[29]	He P S, You W L and Liu W M 2013 Phys. Rev. A 87 063603 doi: 10.1103/PhysRevA.87.063603
[30]	Khomeriki R and Flach S 2016 Phys. Rev. Lett. 116 245301 doi: 10.1103/PhysRevLett.116.245301
[31]	Lin Y J, Compton R L, Jiménez-García K, Phillips W D, Porto J V and Spielman I B 2011 Nat. Phys. 7 531 doi: 10.1038/nphys1954
[32]	Morsh O and Oberthaler M 2006 Rev. Mod. Phys. 78 179 doi: 10.1103/RevModPhys.78.179
[33]	Zhang A X and Xue J K 2015 Europhys. Lett. 110 10009 doi: 10.1209/0295-5075/110/10009
[34]	Buchhold M, Cocks D and Hofstetter W 2012 Phys. Rev. A 85 063614 doi: 10.1103/PhysRevA.85.063614
[35]	Goldman N, Beugnon J and Gerbier F 2012 Phys. Rev. Lett. 108 255303 doi: 10.1103/PhysRevLett.108.255303
[36]	Goldman N, Beugnon J and Gerbier F 2013 Eur. Phys. J. Spec. Top. 217 135 doi: 10.1140/epjst/e2013-01762-x
[37]	Goldman N, Dalibard J, Dauphin A, Gerbier F, Lewenstein M, Zoller P and Spielman I B 2013 Proc. Natl. Acad. Sci. USA 110 6736 doi: 10.1073/pnas.1300170110
[38]	Kolovsky A R, Grusdt F and Fleischhauel M 2014 Phys. Rev. A 89 033607 doi: 10.1103/PhysRevA.89.033607
[39]	Snoek M and Hofstetter W 2007 Phys. Rev. A 76 051603 doi: 10.1103/PhysRevA.76.051603
[40]	Smerzi A and Trombettoni A 2003 Phys. Rev. A 68 023613 doi: 10.1103/PhysRevA.68.023613
[41]	Chin C, Grimm R, Julienne P and Feshbach E 2010 Rev. Mod. Phys. 82 1225 doi: 10.1103/RevModPhys.82.1225

Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential

Cyclotron dynamics of neutral atoms in optical lattices with additional magnetic field and harmonic trap potential

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 41

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Ang Zhang(张昂), Congcong Tian(田聪聪), Qiang Zhu(朱强), Bing Wang(王兵), Dezhi Xiong(熊德智), Zhuanxian Xiong(熊转贤), Lingxiang He(贺凌翔), and Baolong Lyu(吕宝龙). Precise measurement of ¹⁷¹Yb magnetic constants for ¹S₀–³P₀ clock transition[J]. 中国物理B, 2023, 32(2): 20601-020601.
[2]	Benquan Lu(卢本全) and Hong Chang(常宏). Theoretical calculations on Landé $g$-factors and quadratic Zeeman shift coefficients of $n$s$n$p $^{3} {P}^{o}_{0}$ clock states in Mg and Cd optical lattice clocks[J]. 中国物理B, 2023, 32(1): 13101-013101.
[3]	Jin-Qi Wang(王进起), Ang Zhang(张昂), Cong-Cong Tian(田聪聪), Ni Yin(殷妮), Qiang Zhu(朱强), Bing Wang(王兵), Zhuan-Xian Xiong(熊转贤), Ling-Xiang He(贺凌翔), and Bao-Long Lv(吕宝龙). Effective sideband cooling in an ytterbium optical lattice clock[J]. 中国物理B, 2022, 31(9): 90601-090601.
[4]	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[J]. 中国物理B, 2022, 31(7): 70305-070305.
[5]	Wenliang Liu(刘文良), Ningxuan Zheng(郑宁宣), Jun Jian(蹇君), Li Tian(田丽), Jizhou Wu(武寄洲), Yuqing Li(李玉清), Yongming Fu(付永明), Peng Li(李鹏), Vladimir Sovkov, Jie Ma(马杰), Liantuan Xiao(肖连团), and Suotang Jia(贾锁堂). Superfluid to Mott-insulator transition in a one-dimensional optical lattice[J]. 中国物理B, 2022, 31(7): 73702-073702.
[6]	Xiateng Qin(秦夏腾), Yuan Jiang(蒋源), Weixin Ma(马伟鑫), Zhonghua Ji(姬中华),Wenxin Peng(彭文鑫), and Yanting Zhao(赵延霆). Observation of V-type electromagnetically induced transparency and optical switch in cold Cs atoms by using nanofiber optical lattice[J]. 中国物理B, 2022, 31(6): 64216-064216.
[7]	Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Vortex chains induced by anisotropic spin-orbit coupling and magnetic field in spin-2 Bose-Einstein condensates[J]. 中国物理B, 2022, 31(6): 60305-060305.
[8]	Eng Boon Ng and C. H. Raymond Ooi. Measuring gravitational effect of superintense laser by spin-squeezed Bose—Einstein condensates interferometer[J]. 中国物理B, 2022, 31(5): 53701-053701.
[9]	Benquan Lu(卢本全), Xiaotong Lu(卢晓同), Jiguang Li(李冀光), and Hong Chang(常宏). Theoretical calculation of the quadratic Zeeman shift coefficient of the ³P₀^o clock state for strontium optical lattice clock[J]. 中国物理B, 2022, 31(4): 43101-043101.
[10]	Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Manipulating vortices in F=2 Bose-Einstein condensates through magnetic field and spin-orbit coupling[J]. 中国物理B, 2022, 31(4): 40306-040306.
[11]	Jing-Jing Xia(夏京京), Xiao-Tong Lu(卢晓同), and Hong Chang(常宏). Interrogation of optical Ramsey spectrum and stability study of an ⁸⁷Sr optical lattice clock[J]. 中国物理B, 2022, 31(3): 34209-034209.
[12]	Li Tian(田丽), Ningxuan Zheng(郑宁宣), Jun Jian(蹇君), Wenliang Liu(刘文良), Jizhou Wu(武寄洲), Yuqing Li(李玉清), Yongming Fu(付永明), Peng Li(李鹏), Vladimir Sovkov, Jie Ma(马杰), Liantuan Xiao(肖连团), and Suotang Jia(贾锁堂). Spin current in a spinor Bose-Einstein condensate induced by a gradient magnetic field[J]. 中国物理B, 2022, 31(11): 110302-110302.
[13]	Xiaofan Zhou(周晓凡), Gang Chen(陈刚), and Suo-Tang Jia(贾锁堂). SU(3) spin-orbit coupled fermions in an optical lattice[J]. 中国物理B, 2022, 31(1): 17102-017102.
[14]	Hui Guo(郭慧), Xu Qiu(邱旭), Yan Ma(马燕), Hai-Feng Jiang(姜海峰), and Xiao-Fei Zhang(张晓斐). Dynamics of bright soliton in a spin-orbit coupled spin-1 Bose-Einstein condensate[J]. 中国物理B, 2021, 30(6): 60310-060310.
[15]	Ji-Li Ma(马吉利), Xiao-Xun Li(李晓旬), Rui-Jin Cheng(程瑞锦), Ai-Xia Zhang(张爱霞), and Ju-Kui Xue(薛具奎). Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice[J]. 中国物理B, 2021, 30(6): 60307-060307.