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.
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.
CUI Bo;WU Song-Lin;YI Xue-Xi. Mean-Field Dynamics of a Two-Mode Bose-Einstein Condensate Subject to Decoherence[J]. 中国物理快报, 2010, 27(7): 70303-070303.
CUI Bo, WU Song-Lin, YI Xue-Xi. Mean-Field Dynamics of a Two-Mode Bose-Einstein Condensate Subject to Decoherence. Chin. Phys. Lett., 2010, 27(7): 70303-070303.
[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)
2010, Vol. 27 
