Squeezing via coupling of Bose--Einstein condensates in a double-well potential with a cavity light field
Zhou Lu(周鲁)a)b)c)d)†, Kong Ling-Bo(孔令波)a)b)c), and Zhan Ming-Sheng(詹明生)a)b)
a State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China; bCenter for Cold Atom Physics, Chinese Academy of Sciences, Wuhan 430071, China; c Graduate School of the Chinese Academy of Sciences, Beijing 100080, China; d State Key Laboratory of Precision Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
Abstract Squeezing via the interaction between the cavity light field and the Bose--Einstein Condensate (BEC) in a double-well potential is considered within the context of the two-mode approximation. For the cavity light field initially in a coherent state, it is shown that by choosing appropriate parameters, quadrature squeezing of the cavity light field can be achieved and it exhibits periodic oscillation. We also study the case in which BEC is tuned to resonance by periodically modulating the trapping potential, and the quadrature squeezing of the cavity field exhibits periodic collapse and revival effect. Both analytic and numerical calculations are performed, and they are found to be in good agreement with each other. The result shows that the quantum statistical properties of the cavity light field can be manipulated by its coupling with the condensates in the double-well potential. On the other hand, dynamical properties of the condensates in the double-well potential will be reflected by the quadrature squeezing of the light field.
Received: 26 September 2007
Revised: 28 September 2007
Accepted manuscript online:
Fund: Project supported by the National
Basic Research Program of China (Grant No 2006CB921203), the
National Natural Science Foundation of
China (Grant No 10474119) and China Postdoctoral Science Foundation.
Cite this article:
Zhou Lu(周鲁), Kong Ling-Bo(孔令波), and Zhan Ming-Sheng(詹明生) Squeezing via coupling of Bose--Einstein condensates in a double-well potential with a cavity light field 2008 Chin. Phys. B 17 1601
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