Quantum vortex of Bose-Einstein condensate in a rotating two-dimensional optical lattice

Abstract

Abstract: Based on numerical simulation of the Gross–Pitaevskii(G-P) equation, the dynamical properties of Bose–Einstein condensed gas quantum vortex in a rotating two-dimensional optical lattice are investigated. Influences of optical lattice constant d and optical lattice depth on quantum vortex are analyzed. Results show that the formation process of quantum vortex becomes faster with increasing of . The physical essence of this dynamic behavior is analyzed by calculating the evolution of system free energy with time. When is more than 50, there is pinning effect. That is to say, the quantum vortex is fixed on the extreme point of potential energy by optical lattice. When d is greater than 2.7dc (dc is the critical constant), the vortex-antivortex pairs are found.

Key words: quantum optics; quantum vortex; Gross-Pitaevskii equation; critical optical lattice constant

CLC Number:

O431.2

JI Chengchao，XU Zhijun. Quantum vortex of Bose-Einstein condensate in a rotating two-dimensional optical lattice[J]. J4, 2016, 33(6): 697-703.

References

[2]Oda S, Wakasa Y, Kubo H, Obara K, Yano H, Ishikawa O, et al.Observations of Vortex Emissions from Superfluid 4He Turbulence at High Temperatures[J].Journal of Low Temperature Physics, 2014, 175(1-2):317-23
[3]周海龙, 朱强, 王兵, 熊德智.一维光晶格中玻色-爱因斯坦凝聚体的相位涨落测量[J].量子电子学报, 2014, 31(1):56-60
[4]李珍, 徐志君, 辛晓天.一维光晶格中玻色凝聚气体高斯宽度与光晶格势强度的关系[J].量子电子学报, 2006, 第2期(2):178-82
[5]恽旻, 印建平.晶格原子光学及其应用[J].量子电子学报, 2006, 01期(1):10-21
[6]徐志君, 程成, 杨欢耸, 武强, 熊宏伟.三维光晶格中玻色凝聚气体基态波函数及干涉演化[J].物理学报, 2004, 53(9):2835-42
[7]奚玉东, 王登龙, 佘彦超, 王凤姣, 丁建文.双色光晶格势阱中玻色-爱因斯坦凝聚体的-隧穿行为[J].物理学报, 2010, 59(6):3720-6
[8]Kumar RK, Muruganandam P.Effect of optical lattice potentials on the vortices in rotating dipolar Bose-Einstein condensates[J].European Physical Journal D, 2014, 68(10):1-9
[9]Mithun T, Porsezian K, Dey B.Pinning of Hidden Vortices in Bose-Einstein Condensate[J].Physical Review A, 2014, 89(5):168-
[10]Hassan AS, Abdel-Gany HA, Ellithi AY, Galal AA.Thermodynamic properties of a rotating Bose-Einstein condensation in a deep optical lattice[J].Turkish Journal of Physics, 2014, 444(7):54-7
[11]Kenichi K, Makoto T.Dynamical Vortex Phases in a Bose-Einstein Condensate Driven by a Rotating Optical Lattice[J].Physical Review Letters, 2006, 97(24):387-92
[12]Bhat R, Peden BM, Seaman BT, Kramer M, Carr LD, Holland MJ.Quantized Vortex States of Strongly Interacting Bosons in a Rotating Optical Lattice[J].Physical Review A, 2006, 74(6):278-81
[13]Bhat R, Kr?mer M, Cooper J, Holland MJ.Hall effects in Bose-Einstein condensates in a rotating optical lattice[J].Physical Review A, 2007, 76(4):043601-
[14]Palmer RN, Jaksch D.High-Field Fractional Quantum Hall Effect in Optical Lattices[J].Physical Review Letters, 2006, 96(18):180407-
[15]Kasamatsu K.Uniformly frustrated bosonic Josephson-junction arrays[J].Physical Review A, 2009, 79(2):021604-
[16]Polini M, Fazio R, MacDonald AH, Tosi MP.Realization of Fully Frustrated Josephson-Junction Arrays with Cold Atoms[J].Physical Review Letters, 2005, 95(1):010401-
[17]Antoine X, Duboscq R.GPELab,a Matlab Toolbox to solve Gross-Pitaevskii Equations I: computation of stationary solutions[J].Computer Physics Communications, 2014, 185(11):2969-91
[18]Jackson AD, Kavoulakis GM, Pethick CJ.Solitary waves in clouds of Bose-Einstein condensed atoms[J].Physreva, 1998, 58(3):2417-22
[19]Bao W, Lim FY, Zhang Y.Energy and chemical potential asymptotics for the ground state of Bose–Einstein condensates in the semiclassical regime[J]. Bulletin, 2007.
[20]Antoine X, Bao W, Besse C.Computational methods for the dynamics of the nonlinear SchrodingerGross-Pitaevskii equations[J].Computer Physics Communications, 2013, 184(12):2621-33
[21]Kato A, Nakano Y, Kasamatsu K, Matsui T.Vortex formation of a Bose-Einstein condensate in a rotating deep optical lattice[J].Phys Rev A, 2011, 84(5):6302-12

[1]	BAI Hailong , BAI Jinhai , HU Dong , WANG Yu . Design and implementation of a compact microwave synthesizer for atomic interference gravimeter [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 510-518.
[2]	LI Songsong. Effects of three-body and four-body interactions on spin squeezing and quantum entanglement in Bose-Einstein condensates [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 519-527.
[3]	WANG Sheng , FANG Xiaoming , LIN Yu , ZHANG Tianbing , FENG Bao , YU Yang , WANG Le . Four-intensity decoy-state phase-matching quantum key distribution [J]. Chinese Journal of Quantum Electronics, 2023, 40(4): 541-545.
[4]	JIA Wei , ZHANG Qiangqiang , BIAN Yuxiang , LI Wei . Research on the upper bound of collective attack in E91-QKD [J]. Chinese Journal of Quantum Electronics, 2023, 40(3): 407-414.
[5]	CAO Rui , YUAN Chengzhi , SHEN Si , ZHANG Zichang , FAN Yunru , LI Jiarui , LI Hao , YOU Lixing , ZHOU Qiang , WANG Zizhu ∗. Optimized detection of maximally entangled time-bin qutrits [J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 85-94.
[6]	TANG Shibiao ∗ , LI Zhi , ZHENG Weijun , ZHANG Wansheng , GAO Song , LI Yalin , CHENG Jie , JIANG Lianjun . Research on anti-dead time attack scheme for quantum key distribution system [J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 95-103.
[7]	RUAN Zhiqiang, ZHANG Lei, ZHAO Xinyu, JIANG Xingfang ∗. Analysis of negative dispersion characteristics of a novel circular doped photonic crystal ﬁber [J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 133-138.
[8]	TAN Zhijie , YANG Hairui , , YU Hong , , HAN Shensheng , ∗. Progress on X-ray diffraction imaging via intensity correlation [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 851-862.
[9]	LIN Huizu , ∗ , LIU Weitao , ∗ , SUN Shuai , , DU Longkun , , CHANG Chen , , LI Yuegang , . Progress of algorithms used in ghost imaging [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 863-879.
[10]	WANG Xiaoyan, WANG Zhiyuan, CHEN Ziyang, PU Jixioing ∗. Detection of orbital angular momentum of multiple vortices from speckle via deep learning [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 955-961.
[11]	LI Nengfei , SUN Yusong , , HUANG Jian , ∗. Research on cosine encoded multiplexing high spatial resolution ghost imaging [J]. Chinese Journal of Quantum Electronics, 2022, 39(6): 973-982.
[12]	DAI Pan, PANG Zhiguang, LI Jian, WANG Qin ∗. Nonlinear Bell inequality based on entanglement sources [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 761-767.
[13]	ZHAO Liangyuan , ∗ , CAO Lingyun , LIANG Hongyuan , WEI Zheng , WU Qianjun , QIAN Jianlin , HAN Zhengfu ∗. Research on wavelength-multiplexed quantum key distribution based on diﬀerent optical ﬁbers [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 776-785.
[14]	ZHANG Rui , MEI Dajiang , ∗ , SHI Xiaotu , , MA Rongguo , , ZHANG Qingli , ∗ , DOU Renqin , , LIU Wenpeng , . Research progress of dislocation of YAG crystal [J]. Chinese Journal of Quantum Electronics, 2022, 39(5): 687-706.
[15]	WANG Jingjing, LIU Yujie, ZHENG Li∗. Quantum properties of macroscopic quantum state prepared by ultra-strong coupling cavity opto-mechanical system [J]. Chinese Journal of Quantum Electronics, 2022, 39(4): 598-604.