Please wait a minute...
Chin. Phys. B, 2017, Vol. 26(11): 115202    DOI: 10.1088/1674-1056/26/11/115202
PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next  

Tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential

Na-Na Chang(常娜娜), Zi-Fa Yu(鱼自发), Ai-Xia Zhang(张爱霞), Ju-Kui Xue(薛具奎)
Key Laboratory of Atomic & Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China
Abstract  

We investigate the tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential. Uncorrelated tunneling of Rabi oscillation with the minimum period can happen only when the two-and three-body interactions satisfy a critical condition, i.e., the effective interaction energy is minimized. When the atomic interactions are slightly away from the critical condition in the weak interaction regime, the uncorrelated tunneling exhibits collapse-revival character. When the atomic interactions are strong and far away from the critical condition, the correlated tunneling with Rabi oscillation occurs. The tunneling period (the period of collapse-revival) increases (decreases) when the rate between the two-body and three-body interactions is away from the corresponding critical condition or when the number of bosons increases. Further, the tunneling properties are understood with the help of the energy spectrum of the system. Eventually, the effect of the initial configuration on the tunneling dynamics of a few bosons for both odd and even numbers of bosons is studied, which results in intriguing consequences.

Keywords:  Bose-Einstein condensate      Rabi oscillation      collapse-revival  
Received:  11 May 2017      Revised:  17 August 2017      Accepted manuscript online: 
PACS:  52.27.Ep (Electron-positron plasmas)  
  52.38.Hb (Self-focussing, channeling, and filamentation in plasmas)  
  98.70.Rz (γ-ray sources; γ-ray bursts)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 11475027, 11764039, 11274255, and 11305132), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20136203110001), and Scientific Research Project of Gansu Higher Education, China (Grant No. 2016A-005).

Corresponding Authors:  Ju-Kui Xue     E-mail:  xuejk@nwnu.edu.cn

Cite this article: 

Na-Na Chang(常娜娜), Zi-Fa Yu(鱼自发), Ai-Xia Zhang(张爱霞), Ju-Kui Xue(薛具奎) Tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential 2017 Chin. Phys. B 26 115202

[1] Anderson M H, Matthews M R, Wieman C E and Cornell E A 1995 Science 269 198
[2] Schmitt J, Damn T, Dung D, Vewinger F, Klaers J and Weitz M 2014 Phys. Rev. Lett. 112 030401
[3] Trombettoni A and Smerzi A 2001 Phys. Rev. Lett. 86 2353
[4] Cazalilla M A, Citro, R, Giamarchi T, Orignac E and Rigol M 2011 Rev. Mod. Phys. 83 1405
[5] Dalfovo F, Giorgini S, Pitaevskii L and Stringari S 1999 Rev. Mod. Phys. 71 463
[6] Luo X, Xie Q and Wu B 2008 Phys. Rev. A 77 053601
[7] Zhu H B, Liu S J and Xiong H W 2011 Chin. Phys. Lett. 28 090303
[8] Juliá-Díaz B, Dagnino D, Lewenstein M, Martorell J, Polls A 2010 Phys. Rev. A 81 023615
[9] Chatterjee B, Brouzos I, Cao L and Schmelcher P 2012 Phys. Rev. A 85 013611
[10] Zhu Q, Zhang Q and Wu B 2015 J. Phys. B At. Mol. Opt. Phys 48 045301
[11] Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M and Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
[12] Smerzi A, Fantoni S, Giovanazzi S and Shenoy S R 1997 Phys. Rev. Lett. 79 4950
[13] Winkler1 K, Thalhammer G, Lang F, Grimm R, Denschlag J H, Daley A J, Kantian A, Büchler H P and Zoller P 2006 Nat. Phys. 441 853
[14] Fölling S, Trotzky S, Cheinet P, Feld M, Saers R, Widera A, Müller T and Bloch I 2007 Nat. Phys. 448 1029
[15] Salgueiro A N 2007 Eur. Phys. J. D 44 537
[16] Carr L D, Dounas-Frazer D R and García-March M A 2010 Eur. Phys. Lett. 90 10005
[17] Dounas-Frazer D R, Hermundstad A M and Carr L D 2007 Phys. Rev. Lett. 99 200402
[18] Wang L, Hao Y and Chen S 2008 Eur. Phys. J. D 48 229
[19] Wu B and Niu Q 2000 Phys. Rev. A 61 023402
[20] Zöllner k S, Meyer H D and Schmelcher P 2008 Phys. Rev. Lett. 100 40401
[21] Zöllner S, Meyer H D and Schmelcher P 2008 Phys. Rev. A 78 013621
[22] Chereji R V, Tolkunov D, Locke G and Morozov A V 2011 Phys. Rev. E 83 050903
[23] Kraemer T, Mark M, Waldburger P, Danzl J G, Chin C, Engeser B, Lange A D, Pilch K, Jaakkola A, Nägerl H C and Grimm R 2006 Nat. Phys. 440 315
[24] Büchler B H P, Micheli A and Zoller P 2007 Nat. Phys. 3 726
[25] Zhang A X and Xue J K 2007 Phys. Rev. A 75 013624
[26] Wu Y and Yang X X 1997 Phys. Rev. A 56 2443
[27] Chen Y H, Wu Y H, Tao H S and Liu W M 2010 Phys. Rev. A 82 043625
[28] Safavi-Naini A, Stecher J V, Capogrosso-Sansone B and Rittenhouse S T 2012 Phys. Rev. Lett. 109 135302
[29] Will S, Best T, Schneider U, Hackermüller L, Lühmann D and Bloch I 2010 Nat. Phys. 465 197
[30] Knoop S, Ferlaino F, Berninger M, Mark M, Nägerl H C, Grimm R, D'Incao J P and Esry B D 2010 Phys. Rev. Lett. 104 053201
[31] Zaccanti M, Deissler B, D'Errico C, Fattori M, Lasinio M J, Müller S, Roati G, Inguscio M and Modugno G 2009 Nat. Phys. 5 586591
[32] Zhang A X and Xue J K 2010 Phys. Rev. A 82 013606
[33] Köhler T 2002 Phys. Rev. Lett. 89 210404
[34] Tiesinga E and Johnson 2011 Phys. Rev. A 83 063609
[35] Sowiński T 2012 Phys. Rev. A 85 065601
[36] Yi S and You L 2000 Phys. Rev. A 61 041604(R)
[37] Dutta S, Barman A, Siddharth A, Khan A and Basu S 2015 Eur. Phys. J. B 88 139
[38] Lü R, Zhang M, Zhu J L and You L 2008 Phys. Rev. A 78 011605(R)
[39] Longhi S J 2011 Phys. B At. Mol. Opt. Phys 44 051001
[40] Winkler K, Thalhammer G, Lang F, Grimm R, Denschlag J H, Daley A. J, Kantian A, Büchler H P and Zoller P 2006 Nat. Phys. 441 853
[41] Zöllner S, Meyer H and Schmelcher P 2008 Phys. Rev. Lett. 100 040401
[1] Anderson localization of a spin-orbit coupled Bose-Einstein condensate in disorder potential
Huan Zhang(张欢), Sheng Liu(刘胜), and Yongsheng Zhang(张永生). Chin. Phys. B, 2022, 31(7): 070305.
[2] Superfluid to Mott-insulator transition in a one-dimensional optical lattice
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). Chin. Phys. B, 2022, 31(7): 073702.
[3] Vortex chains induced by anisotropic spin-orbit coupling and magnetic field in spin-2 Bose-Einstein condensates
Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Chin. Phys. B, 2022, 31(6): 060305.
[4] Measuring gravitational effect of superintense laser by spin-squeezed Bose—Einstein condensates interferometer
Eng Boon Ng and C. H. Raymond Ooi. Chin. Phys. B, 2022, 31(5): 053701.
[5] Manipulating vortices in F=2 Bose-Einstein condensates through magnetic field and spin-orbit coupling
Hao Zhu(朱浩), Shou-Gen Yin(印寿根), and Wu-Ming Liu(刘伍明). Chin. Phys. B, 2022, 31(4): 040306.
[6] Spin current in a spinor Bose-Einstein condensate induced by a gradient magnetic field
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). Chin. Phys. B, 2022, 31(11): 110302.
[7] Dynamical stability of dipolar condensate in a parametrically modulated one-dimensional optical lattice
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). Chin. Phys. B, 2021, 30(6): 060307.
[8] Dynamics of bright soliton in a spin-orbit coupled spin-1 Bose-Einstein condensate
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). Chin. Phys. B, 2021, 30(6): 060310.
[9] Spin-orbit-coupled spin-1 Bose-Einstein condensates confined in radially periodic potential
Ji Li(李吉), Tianchen He(何天琛), Jing Bai(白晶), Bin Liu(刘斌), and Huan-Yu Wang(王寰宇). Chin. Phys. B, 2021, 30(3): 030302.
[10] Quantum reflection of a Bose-Einstein condensate with a dark soliton from a step potential
Dong-Mei Wang(王冬梅), Jian-Chong Xing(邢健崇), Rong Du(杜荣), Bo Xiong(熊波), and Tao Yang(杨涛). Chin. Phys. B, 2021, 30(12): 120303.
[11] Merging and splitting dynamics between two bright solitons in dipolar Bose-Einstein condensates
Xin Li(李欣), Peng Gao(高鹏), Zhan-Ying Yang(杨战营), and Wen-Li Yang(杨文力). Chin. Phys. B, 2021, 30(12): 120501.
[12] Nonlinear dynamical stability of gap solitons in Bose-Einstein condensate loaded in a deformed honeycomb optical lattice
Hongjuan Meng(蒙红娟), Yushan Zhou(周玉珊), Xueping Ren(任雪平), Xiaohuan Wan(万晓欢), Juan Zhang(张娟), Jing Wang(王静), Xiaobei Fan(樊小贝), Wenyuan Wang(王文元), and Yuren Shi(石玉仁). Chin. Phys. B, 2021, 30(12): 126701.
[13] Adjustable half-skyrmion chains induced by SU(3) spin-orbit coupling in rotating Bose-Einstein condensates
Li Wang(王力), Ji Li(李吉), Xiao-Lin Zhou(周晓林), Xiang-Rong Chen(陈向荣), and Wu-Ming Liu(刘伍明). Chin. Phys. B, 2021, 30(11): 110312.
[14] Spinor F=1 Bose-Einstein condensates loaded in two types of radially-periodic potentials with spin-orbit coupling
Ji-Guo Wang(王继国), Yue-Qing Li(李月晴), Han-Zhao Tang(唐翰昭), and Ya-Fei Song(宋亚飞). Chin. Phys. B, 2021, 30(10): 106701.
[15] Simple and robust method for rapid cooling of 87Rb to quantum degeneracy
Chun-Hua Wei(魏春华), Shu-Hua Yan(颜树华). Chin. Phys. B, 2020, 29(6): 064208.
No Suggested Reading articles found!