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Phys. Rev. A 68, 053614 (2003) [8 pages]

Quasispin model for macroscopic quantum tunneling between two coupled Bose-Einstein condensates

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Chaohong Lee*
Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China
Max Planck Institute for the Physics of Complex Systems, Noethnitzer Straße 38, D-01187 Dresden, Germany

Wenhua Hai
Department of Physics, Hunan Normal University, Changsha 410081, People’s Republic of China

Xueli Luo, Lei Shi, and Kelin Gao
Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China

Received 22 October 2002; revised 11 June 2003; published 21 November 2003

The system of two coupled Bose-Einstein condensates is mapped onto a uniaxial spin with an applied magnetic field. The mean-field interaction, the coupling, and the asymmetry or the detuning correspond to the anisotropy, the transverse field, and the longitudinal field, respectively. A generalized Bloch equation is derived. In the low barrier limit for the quasispin model, the tunneling rate is analyzed with an imaginary-time path-integral method. The dependence of the tunneling rate on the system parameters is obtained. The crossover temperature Tc from the thermal regime to the quantum regime is estimated. Below Tc quantum tunneling prevails, otherwise thermal activation dominates.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.053614
DOI:
10.1103/PhysRevA.68.053614
PACS:
03.75.Lm, 05.30.Jp, 32.80.Pj, 74.50.+r

*Corresponding author. Electronic addresses: chlee@mpipks-dresden.mpg.de; chleecn@hotmail.com

Electronic address: klgao@wipm.ac.cn