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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 |
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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.
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Received: 20 March 2009
Revised: 22 September 2009
Accepted manuscript online:
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PACS:
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03.75.Nt
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(Other Bose-Einstein condensation phenomena)
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05.30.Jp
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(Boson systems)
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42.50.Dv
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(Quantum state engineering and measurements)
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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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