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Chin. Phys. B, 2010, Vol. 19(2): 020502    DOI: 10.1088/1674-1056/19/2/020502
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Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state

Jin Guang-Ri(金光日), Wang Bo-Bo(王波波), and LÜ Yan-Wu(吕燕伍)
Department of Physics, School of Science, Beijing Jiaotong University, Beijing 100044, China
Abstract  We investigate phase diffusion of a two-component Bose--Einstein condensates prepared initially in arbitrary coherent spin state |$\theta_0$, $\phi_0\rangle$. Analytical expression of the phase-diffusion time is presented for $\theta_0\neq \pi/2$ case. In comparison with the symmetrical case (i.e., $\theta_0=\pi/2$), we find that the diffusion process becomes slow due to the reduced atom number variance.
Keywords:  Bose--Einstein condensates      phase diffusion      coherent spin states  
Received:  20 March 2009      Revised:  22 September 2009      Accepted manuscript online: 
PACS:  03.75.Nt (Other Bose-Einstein condensation phenomena)  
  05.30.Jp (Boson systems)  
  42.50.Dv (Quantum state engineering and measurements)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10804007), the Special Research Foundation and Development Program (Grant No.~200800041003), and Research Funds of Beijing Jiaotong University (Grant No.~2007XM049).

Cite this article: 

Jin Guang-Ri(金光日), Wang Bo-Bo(王波波), and LÜ Yan-Wu(吕燕伍) Phase diffusion of a two-component Bose-Einstein condensates:exact and short-time solutions for arbitrary coherent spin state 2010 Chin. Phys. B 19 020502

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