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arXiv 0808.3679cond-mat.otherquant-ph
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噪声和耗散作用下双模玻色-爱因斯坦凝聚体的平均场动力学

Mean-field dynamics of a two-mode Bose-Einstein condensate subject to noise and dissipation

F. Trimborn, D. Witthaut, S. Wimberger

摘要:

讨论了具有相位噪声和粒子耗散的开放双模Bose-Hubbard系统的动力学。从完整的多体动力学描述的主方程的平均场极限推导出一个有效的非厄米(离散)的Gross-Pitaevskii方程已被引入到现在只唯象。常见的平均场相空间结构被耗散大大改变。特别地,不动点的性质分别从椭圆或双曲到吸引或排斥的突变。这反映了相应的多体系统的亚稳态行为,这也令人惊讶地导致冷凝物纯度的显著增加。的平均场近似模拟的完整的主方程,使用Monte Carlo波函数方法的比较显示出很好的协议宽的参数范围。

英文摘要:

We discuss the dynamics of an open two-mode Bose-Hubbard system subject to phase noise and particle dissipation. Starting from the full many-body dynamics described by a master equation the mean-field limit is derived resulting in an effective non-hermitian (discrete) Gross-Pitaevskii equation which has been introduced only phenomenologically up to now. The familiar mean-field phase space structure is substantially altered by the dissipation. Especially the character of the fixed points shows an abrupt transition from elliptic or hyperbolic to attractiv or repulsive, respectively. This reflects the metastable behaviour of the corresponding many-body system which surprisingly also leads to a significant increase of the purity of the condensate. A comparison of the mean-field approximation to simulations of the full master equation using the Monte Carlo wave function method shows an excellent agreement for wide parameter ranges.

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