Chin. Phys. Lett.  2010, Vol. 27 Issue (7): 070303    DOI: 10.1088/0256-307X/27/7/070303
GENERAL |
Mean-Field Dynamics of a Two-Mode Bose-Einstein Condensate Subject to Decoherence

CUI Bo, WU Song-Lin, YI Xue-Xi

School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024
Cite this article:   
CUI Bo, WU Song-Lin, YI Xue-Xi 2010 Chin. Phys. Lett. 27 070303
Download: PDF(1255KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

We discuss the dynamics of Bose-Einstein condensates in a double-well potential subject to decoherence (or particle loss). Starting from the full many-body dynamics described by the master equation, an effective Gross-Pitaevskii-like equation is derived in the mean-field approximation. By numerically solving the GP equation, we find that macroscopic quantum self-trapping disappears for strong decoherence, while generalized self-trapping occurs under weak decoherence. The fixed points have been calculated, and we find that an abrupt change from elliptic to an attractor and a repeller occurs, reflecting the metastable behavior of the system around these points.

Keywords: 03.65.Bz      07.60.Ly     
Received: 14 January 2010      Published: 28 June 2010
PACS:  03.65.Bz  
  07.60.Ly (Interferometers)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/27/7/070303       OR      https://cpl.iphy.ac.cn/Y2010/V27/I7/070303
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
CUI Bo
WU Song-Lin
YI Xue-Xi
[1] Milburn G J, Corney J, Wirght E M and Walls D F 1997 Phys. Rev. A 55 4318
[2] Smerzi A, Fantoni S, Giovanazzi S and Shenoy S R 1997 Phys. Rev. Lett. 79 4950
[3] Raghavan S, Smerzi A and Kenkre V M 1999 Phys. Rev. A 60 R1787
[4] Kohler S and Sols F 2002 Phys. Rev. Lett. 89 060403
[5] Salasnich L 2000 Phys. Rev. A 61 015601
[6] Wang G F, Fu L B and Liu J 2006 Phys. Rev. A 73 013619
[7] Andrews M R et al 1997 Science 275 637
[8] Javanainen J 1986 Phys. Rev. Lett. 57 3164
[9] Dalfovo F, Pitaevskii L and Stringari S 1996 Phys. Rev. A 54 4213
[10] Milburn G J, Corney J, Wright E M and Walls D F 1997 Phys. Rev. A 55 4318
[11] Zapata I, Sols F and Leggett A J 1998 Phys. Rev. A 57 R28
[12] Jack M W, Collett M J and Walls D F 1996 Phys. Rev. A 54 R4625
[13] Zhan Y B, Zhang Q Y, Wang Y W and Ma P C 2010 Chin. Phys. Lett. 27 010307
[14] Xu X and Zhou X J 2010 Chin. Phys. Lett. 27 010309
[15] Anglin J R 1997 Phys. Rev. Lett. 79 6
[16] Ruostekoski J and Walls D F 1998 Phys. Rev. A 58 R50
[17] Vardi A and Anglin J R 2001 Phys. Rev. Lett. 86 568
[18] Ponomarev A V, Madronero J, Kolovsky A R and Buchleitner A 2006 Phys. Rev. Lett. 96 050404
[19] Wang W, Fu L B and Yi X X 2007 Phys. Rev. A 75 045601
[20] Syassen N et al 2008 Science 320 1329
[21] Moiseyev N and Cederbaum L S 2005 Phys. Rev. A 72 033605
[22] Schlagheck P and Paul T 2006 Phys. Rev. A 73 023619
[23] Witthaut D, Graefe E M, Wimberger S and Korsch H J 2006 Phys. Rev. A 75 013617
[24] Livi R, Franzosi R and Oppo G L 2006 Phys. Rev. Lett. 97 060401
[25] Hiller M, Kottos T and Ossipov A 2006 Phys. Rev. A 73 063625
[26] Schlagheck P and Wimberger S 2007 Appl. Phys. B 86 385
[27] Trimborn F, Witthaut D and Wimberger S 2008 J. Phys. B 41 171001
[28] Walls D F and Milburn G J 1985 Phys. Rev. A 31 2403
[29] Strogatz S H 1994 Nonlinear Dynamics and Chaos (New York: Wesley)
[30] Boyce W E and Diprima R C 1997 Elementary Differential Equations and Boundary Value Problems (New York: Wiley)
Related articles from Frontiers Journals
[1] MIAO Liang**,ZUO Du-Luo,CHENG Zu-Hai. A Terahertz Wavemeter Based on a Fabry–Perot Interferometer Composed of Two Identical Ge Etalons[J]. Chin. Phys. Lett., 2012, 29(5): 070303
[2] WANG Ya-Ping,**,WU Chong-Qing,YAN Ping. Polarization Stability of a Double-Loop Interferometer Based on a Planar 3×3 Coupler[J]. Chin. Phys. Lett., 2012, 29(4): 070303
[3] HU Xiao-Gen**, LI Yu-He**, LIN Hao-Shan, WANG Dong-Sheng, QI Xin . Second Harmonic Generation in Scanning Probe Microscopy for Edge Localization[J]. Chin. Phys. Lett., 2011, 28(4): 070303
[4] RAO Yun-Jiang, XU Bing, RAN Zeng-Ling, GONG Yuan. Micro Extrinsic Fiber-Optic Fabry-Perot Interferometric Sensor Based on Erbium- and Boron-Doped Fibers[J]. Chin. Phys. Lett., 2010, 27(2): 070303
[5] ZHAN You-Bang, ZHANG Qun-Yong, WANG Yu-Wu, MA Peng-Cheng. Schemes for Teleportation of an Unknown Single-Qubit Quantum State by Using an Arbitrary High-Dimensional Entangled State[J]. Chin. Phys. Lett., 2010, 27(1): 070303
[6] XU Xu, ZHOU Xiao-Ji. Phase-Dependent Effects in Stern-Gerlach Experiments[J]. Chin. Phys. Lett., 2010, 27(1): 070303
[7] MA Shan-Jun. Optical Four-Wave Mixing Operator, Fresnel Operators and Three-Mode Entangled State Representation[J]. Chin. Phys. Lett., 2009, 26(6): 070303
[8] WANG Ze-Feng, HUNG Yong-Ming, MENG Zhou, NI Ming. Experimental Investigation on a Fibre-Optic Hydrophone with a Cylindrical Helmholtz Resonator[J]. Chin. Phys. Lett., 2008, 25(5): 070303
[9] LIU Lin-Xia, LIU Qi, SHAO Cheng-Gang, ZHANG Ya-Ting, LUO Jun, Vadim Milyukov. Measurement of Density Inhomogeneity for Glass Pendulum[J]. Chin. Phys. Lett., 2008, 25(12): 070303
[10] REN Zhou, TAN Yi-Dong, WAN Xin-Jun, LI Duo, ZHANG Shu-Lian. Microchip Laser Feedback Interferometer with an Optical Path Multiplier[J]. Chin. Phys. Lett., 2008, 25(11): 070303
[11] SHAO Dan, SHAO Liang, SHAO Chang-Gui, NODA Huzio. Entanglement of Area Quantums in Quantized Space[J]. Chin. Phys. Lett., 2008, 25(1): 070303
[12] FU Jian, TANG Shao-Fang. Possible Approach to Improve Sensitivity of a Michelson Interferometer[J]. Chin. Phys. Lett., 2007, 24(8): 070303
[13] CHEN Min, SHAO Cheng-Gang. Influence of Photon Mass on Vacuum Birefringence Experiment[J]. Chin. Phys. Lett., 2007, 24(4): 070303
[14] LU Dao-Ming, ZHENG Shi-Biao. Establishment of Entanglement for Two Atoms Trapped in Two Distant Bad Cavities[J]. Chin. Phys. Lett., 2007, 24(3): 070303
[15] JI Hua, ZHAN Xiao-Gui, ZENG Hao-Sheng. Controlled Teleportation of Multi-Qudit Quantum Information[J]. Chin. Phys. Lett., 2007, 24(10): 070303
Viewed
Full text


Abstract