Ground state of a two-component dipolar Bose-Einstein condensate confined in a coupled annular potential

Zhang Xiao-Fei; Zhang Pei; Chen Guang-Ping; Dong Biao; Tan Ren-Bing; Zhang Shou-Gang

doi:10.7498/aps.64.060302

Abstract

By using the imaginary-time propagation method, we study the ground state structure of a two-component dipolar Bose-Einstein condensate confined in a coupled annular potential. The effects of contact and dipole-dipole interaction on the ground state density distribution of such a system are investigated in detail. The results show that the dipole-dipole interaction, acting as a new degree of freedom, can be used to obtain the desired ground state phases, and to control the phase transition between different ground states.

Keywords:

Authors and contacts

1.
Key Laboratory of Time and Frequency Primary Standards, National Time Service Center, Chinese Academy of Sciences, Xi'an 710600, China;
2.
Information Technology Center, Honghe University, Mengzi 661100, China;
3.
Department of Physics, School of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing 401331, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11104064), the key project fund of the CAS for the “Western Light” Talent Cultivation Plan, China (Grant No. 2012ZD02), the Science and Technology Project of Shaanxi Province, China (Grant No. 2013KJXX-03), and the Cutting-edge Basic Research Program of Chongqing Municipality, China (Grant No. cstc2014jcyjA50016).

References

[1]	Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2]	Bradley C C, Sackett C A, Tollet J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
[3]	Davis K B, Mewes M O, Andrews M R, VanDruten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[4]	Inouye S, Andrews M, Stenger J, Miesner H, Stamper-Kurn D, Ketterle W 1998 Nature 392 151
[5]	Kevrekidis P G, Theocharis G, Frantzeskakis D J, Malomed B A 2003 Phys. Rev. Lett. 90 230401
[6]	Merhasin I, Malomed B A, Driben R 2005 J. Phys. B 38 877
[7]	Kawaguchi Y, Saito H, Ueda M 2006 Phys. Rev. Lett. 97 130404
[8]	Takahashi M, Ghosh S, Mizushima T, Machida K 2007 Phys. Rev. Lett. 98 260403
[9]	Kawaguchi Y, Saito H, Ueda M 2007 Phys. Rev. Lett. 98 110406
[10]	Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[11]	Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[12]	Shi T, Zou S H, Hu H, Sun C P, Yi S 2013 Phys. Rev. Lett. 110 045301
[13]	Stuhler J, Griesmaier A, Koch T, Fattori M, Pfau T, Giovanazzi S, Pedri P, Santos L 2005 Phys. Rev. Lett. 95 150406
[14]	Griesmaier A, Werner J, Hensler S, Stuhler J, Pfau T 2005 Phys. Rev. Lett. 94 160401
[15]	Pollack S E, Dries D, Junker M, Chen Y P, Corcovilos T A, Hulet R G 2009 Phys. Rev. Lett. 102 090402
[16]	McClelland J J, Hanssen J L 2006 Phys. Rev. Lett. 96 143005
[17]	Aikawa K, Frisch A, Mark M, Baier S, Rietzler A, Grimm R, Ferlaino F 2012 Phys. Rev. Lett. 108 210401
[18]	Lu M W, Youn S H, Lev B L 2010 Phys. Rev. Lett. 104 063001
[19]	Lu M W, Burdick N Q, Youn S H, Lev B L 2011 Phys. Rev. Lett. 107 190401
[20]	Martikainen J P, Mackie M, Suominen K A 2001 Phys. Rev. A 64 037601
[21]	Góral K, Santos L 2002 Phys. Rev. A 66 023613
[22]	Shirley W E, Anderson B M, Clark C W, Wilson R M 2014 Phys. Rev. Lett. 113 165301
[23]	Góral K, Santos L, Lewenstein M 2002 Phys. Rev. Lett. 88 170406
[24]	Mller S, Billy J, Henn E A L, Kadau H, Griesmaier A, Jona-Lasinio M, Santos L, Pfau T 2011 Phys. Rev. A 84 053601
[25]	Huang J S, Chen H F, Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese) [黄劲松, 陈海峰, 谢征微 2008 57 3435]
[26]	Khn S, Judd T E 2013 Phys. Rev. A 87 023608
[27]	Situ S P, He Y Z 2011 Chin. Phys. B 20 010310
[28]	Xiong B, Gong J, Pu H, Bao W, Li B 2009 Phys. Rev. A 79 013626
[29]	Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 56 4348]
[30]	Abad M, Guilleumas M, Mayol R, Pi M, Jezeket D M 2010 Phys. Rev. A 81 043619
[31]	Abad M, Guilleumas M, Mayo R, Pi M, Jezeket D M 2011 Europhys. Lett. 94 10004
[32]	Zöllner S, Bruun G M, Pethick C J, Reimann S M 2011 Phys. Rev. Lett. 107 035301
[33]	Malet F, Kristensen T, Reimann S M, Kavoulakis G M 2011 Phys. Rev. A 83 033628
[34]	Malet F, Kavoulakis G M, Reimann S M 2011 Phys. Rev. A 84 043626
[35]	Karabulut E Ö, Malet F, Kavoulakis G M, Reimann S M 2013 Phys. Rev. A 87 033615
[36]	Zhang Y C, Wang H T, Shen S Q 2013 Chin. Phys. B 22 090501
[37]	Zhang J, Zhai H 2006 Physics 35 553 (in Chinese) [张剑, 翟荟 2006 物理 35 553]
[38]	Wu J H, Xu S N 2013 Chin. Phys. B 22 120304
[39]	Cai Y, Rosenkranz M, Lei Z, Bao W 2010 Phys. Rev. A 82 043623
[40]	Lahaye T, Menotti C, Santos L, Lewenstein M, Pfau T 2009 Rep. Prog. Phys. 72 126401
[41]	Malet F, Kavoulakis G M, Reimann S M 2010 Phys. Rev. A 81 013630
[42]	Wang X, Tan R B, Du Z J, Zhao W Y, Zhang X F, Zhang S G 2014 Chin. Phys. B 23 070308

Cited By

[1]	Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2]	Bradley C C, Sackett C A, Tollet J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
[3]	Davis K B, Mewes M O, Andrews M R, VanDruten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[4]	Inouye S, Andrews M, Stenger J, Miesner H, Stamper-Kurn D, Ketterle W 1998 Nature 392 151
[5]	Kevrekidis P G, Theocharis G, Frantzeskakis D J, Malomed B A 2003 Phys. Rev. Lett. 90 230401
[6]	Merhasin I, Malomed B A, Driben R 2005 J. Phys. B 38 877
[7]	Kawaguchi Y, Saito H, Ueda M 2006 Phys. Rev. Lett. 97 130404
[8]	Takahashi M, Ghosh S, Mizushima T, Machida K 2007 Phys. Rev. Lett. 98 260403
[9]	Kawaguchi Y, Saito H, Ueda M 2007 Phys. Rev. Lett. 98 110406
[10]	Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[11]	Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[12]	Shi T, Zou S H, Hu H, Sun C P, Yi S 2013 Phys. Rev. Lett. 110 045301
[13]	Stuhler J, Griesmaier A, Koch T, Fattori M, Pfau T, Giovanazzi S, Pedri P, Santos L 2005 Phys. Rev. Lett. 95 150406
[14]	Griesmaier A, Werner J, Hensler S, Stuhler J, Pfau T 2005 Phys. Rev. Lett. 94 160401
[15]	Pollack S E, Dries D, Junker M, Chen Y P, Corcovilos T A, Hulet R G 2009 Phys. Rev. Lett. 102 090402
[16]	McClelland J J, Hanssen J L 2006 Phys. Rev. Lett. 96 143005
[17]	Aikawa K, Frisch A, Mark M, Baier S, Rietzler A, Grimm R, Ferlaino F 2012 Phys. Rev. Lett. 108 210401
[18]	Lu M W, Youn S H, Lev B L 2010 Phys. Rev. Lett. 104 063001
[19]	Lu M W, Burdick N Q, Youn S H, Lev B L 2011 Phys. Rev. Lett. 107 190401
[20]	Martikainen J P, Mackie M, Suominen K A 2001 Phys. Rev. A 64 037601
[21]	Góral K, Santos L 2002 Phys. Rev. A 66 023613
[22]	Shirley W E, Anderson B M, Clark C W, Wilson R M 2014 Phys. Rev. Lett. 113 165301
[23]	Góral K, Santos L, Lewenstein M 2002 Phys. Rev. Lett. 88 170406
[24]	Mller S, Billy J, Henn E A L, Kadau H, Griesmaier A, Jona-Lasinio M, Santos L, Pfau T 2011 Phys. Rev. A 84 053601
[25]	Huang J S, Chen H F, Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese) [黄劲松, 陈海峰, 谢征微 2008 57 3435]
[26]	Khn S, Judd T E 2013 Phys. Rev. A 87 023608
[27]	Situ S P, He Y Z 2011 Chin. Phys. B 20 010310
[28]	Xiong B, Gong J, Pu H, Bao W, Li B 2009 Phys. Rev. A 79 013626
[29]	Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 56 4348]
[30]	Abad M, Guilleumas M, Mayol R, Pi M, Jezeket D M 2010 Phys. Rev. A 81 043619
[31]	Abad M, Guilleumas M, Mayo R, Pi M, Jezeket D M 2011 Europhys. Lett. 94 10004
[32]	Zöllner S, Bruun G M, Pethick C J, Reimann S M 2011 Phys. Rev. Lett. 107 035301
[33]	Malet F, Kristensen T, Reimann S M, Kavoulakis G M 2011 Phys. Rev. A 83 033628
[34]	Malet F, Kavoulakis G M, Reimann S M 2011 Phys. Rev. A 84 043626
[35]	Karabulut E Ö, Malet F, Kavoulakis G M, Reimann S M 2013 Phys. Rev. A 87 033615
[36]	Zhang Y C, Wang H T, Shen S Q 2013 Chin. Phys. B 22 090501
[37]	Zhang J, Zhai H 2006 Physics 35 553 (in Chinese) [张剑, 翟荟 2006 物理 35 553]
[38]	Wu J H, Xu S N 2013 Chin. Phys. B 22 120304
[39]	Cai Y, Rosenkranz M, Lei Z, Bao W 2010 Phys. Rev. A 82 043623
[40]	Lahaye T, Menotti C, Santos L, Lewenstein M, Pfau T 2009 Rep. Prog. Phys. 72 126401
[41]	Malet F, Kavoulakis G M, Reimann S M 2010 Phys. Rev. A 81 013630
[42]	Wang X, Tan R B, Du Z J, Zhao W Y, Zhang X F, Zhang S G 2014 Chin. Phys. B 23 070308

[1]	Ying Yao-Jun, Li Hai-Bin. Dynamics of Bose-Einstein condensation in an asymmetric double-well potential. Acta Physica Sinica, 2023, 72(13): 130303. doi: 10.7498/aps.72.20230419
[2]	Jin Zhao, Li Rui, Gong Wei-Jiang, Qi Yang, Zhang Shou, Su Shi-Lei. Implementation of the Rydberg double anti-blockade regime and the quantum logic gate based on resonant dipole-dipole interactions. Acta Physica Sinica, 2021, 70(13): 134202. doi: 10.7498/aps.70.20210059
[3]	He Li, Yu Zeng-Qiang. Landau critical velocity of spin-orbit-coupled Bose-Einstein condensate across quantum phase transition. Acta Physica Sinica, 2017, 66(22): 220301. doi: 10.7498/aps.66.220301
[4]	He Zhang-Ming, Zhang Zhi-Qiang. Controlling interactions between bright solitons in Bose-Einstein condensate. Acta Physica Sinica, 2016, 65(11): 110502. doi: 10.7498/aps.65.110502
[5]	Li Zhi, Cao Hui. Klein tunneling in spin-orbit coupled Bose-Einstein condensate scattered by cusp barrier. Acta Physica Sinica, 2014, 63(11): 110306. doi: 10.7498/aps.63.110306
[6]	Li Zhi, Wang Jian-Zhong. Barrier scattering properties in spin-orbit coupled Bose-Einstein condensate. Acta Physica Sinica, 2013, 62(10): 100306. doi: 10.7498/aps.62.100306
[7]	Zhao Wen-Lei, Dou Fu-Quan, Wang Jian-Zhong. Effects of nonlinearity on quantum resonance ratchet. Acta Physica Sinica, 2012, 61(22): 220503. doi: 10.7498/aps.61.220503
[8]	Yuan Du-Qi. Optimization criterion of potential for trappedweakly interacting Bose gas. Acta Physica Sinica, 2011, 60(3): 030307. doi: 10.7498/aps.60.030307
[9]	Huang Fang, Li Hai-Bin. Adiabatic tunneling of Bose-Einstein condensatein double-well potential. Acta Physica Sinica, 2011, 60(2): 020303. doi: 10.7498/aps.60.020303
[10]	Zhao Jian-Gang, Sun Chang-Yong, Liang Bao-Long, Su Jie. Influence of the virtual photon field on the squeezing properties of light field in the system of binomial state field interacting with atomic Bose-Einstein condensate. Acta Physica Sinica, 2009, 58(7): 4635-4640. doi: 10.7498/aps.58.4635
[11]	Zong Feng-De, Yang Yang, Zhang Jie-Fang. Evolution and controlled manipulation of a Bose-Einstein condensate chirped soliton in external potentials. Acta Physica Sinica, 2009, 58(6): 3670-3678. doi: 10.7498/aps.58.3670
[12]	Huang Jin-Song, Chen Hai-Feng, Xie Zheng-Wei. Modulational instability of two-component dipolar Bose-Einstein condensates in an optical lattice. Acta Physica Sinica, 2008, 57(6): 3435-3439. doi: 10.7498/aps.57.3435
[13]	Zong Feng-De, Zhang Jie-Fang. N-soliton interactions of Bose-Einstein condensates in external potentials. Acta Physica Sinica, 2008, 57(5): 2658-2668. doi: 10.7498/aps.57.2658
[14]	Li Ju-Ping, Tan Lei, Zang Xiao-Fei, Yang Ke. Dynamics of dipolar spinor condensates in the external magnetic field. Acta Physica Sinica, 2008, 57(12): 7467-7476. doi: 10.7498/aps.57.7467
[15]	Liu Ze-Zhuan, Yang Zhi-An. Influence of noise on self-trapping of Bose-Einstein condensates in double-well trap. Acta Physica Sinica, 2007, 56(3): 1245-1252. doi: 10.7498/aps.56.1245
[16]	Zang Xiao-Fei, Li Ju-Ping, Tan Lei. Nonlinear dynamical properties of susceptibility of a spinor Bose-Einstein condensate with dipole-dipole interaction in a double-well potential. Acta Physica Sinica, 2007, 56(8): 4348-4352. doi: 10.7498/aps.56.4348
[17]	Wang Guan-Fang, Fu Li-Bin, Zhao Hong, Liu Jie. Self-trapping and its periodic modulation of Bose-Einstein condensates in double-well trap. Acta Physica Sinica, 2005, 54(11): 5003-5013. doi: 10.7498/aps.54.5003
[18]	Yu Xue－Cai, Mo Ying. Critical temperature of Bose-Einstein condensation in an external potential. Acta Physica Sinica, 2004, 53(12): 4075-4079. doi: 10.7498/aps.53.4075
[19]	Zhou Ming, Fang Jia-Yuan, Huang Chun-Jia. Squeezing effect of light caused by Bose-Einstein condensate composed of interac tive atoms. Acta Physica Sinica, 2003, 52(8): 1916-1919. doi: 10.7498/aps.52.1916
[20]	YAN KE-ZHU, TAN WEI-HAN. BOSE-EINSTEIN CONDERSATION OF NEUTRAL ATOMS WITH ATTRACTIVE INTERACTION IN A HAR MONIC TRAP. Acta Physica Sinica, 2000, 49(10): 1909-1911. doi: 10.7498/aps.49.1909

Catalog

Vol. 64, Issue 6 - 2015-03-20

Metrics

Abstract views: 6907
PDF Downloads: 433
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板