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arXiv 0904.3065cond-mat.quant-gas
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涡旋成核作为量子系统对称性破缺的实例研究

Vortex nucleation as a case study of symmetry breaking in quantum systems

D. Dagnino, N. Barberan, M. Lewenstein, J. Dalibard

摘要:

在物理学的许多分支中,平均场方法是研究弱相互作用多体系统的一个非常有力的工具。特别是,他们描述了极好的精度捕获玻色-爱因斯坦凝聚体。一个普遍的,但困难的问题涉及到真正的多体态的对称性和它的平均场近似之间的关系。在这里,我们解决这个问题,从理论上考虑,在旋转的玻色-爱因斯坦凝聚体涡旋成核。旋转频率的缓慢扫描将系统的状态从静止状态改变为包含一个涡旋的状态。在平均场框架内,对称性的跳跃发生在某个临界频率附近的湍流阶段。在临界频率下的多体基态表现出很强的关联和纠缠。我们认为这是量子多体系统在绝热演化过程中对称性破缺或序参量变化的一个范例。

英文摘要:

Mean-field methods are a very powerful tool for investigating weakly interacting many-body systems in many branches of physics. In particular, they describe with excellent accuracy trapped Bose-Einstein condensates. A generic, but difficult question concerns the relation between the symmetry properties of the true many-body state and its mean-field approximation. Here, we address this question by considering, theoretically, vortex nucleation in a rotating Bose-Einstein condensate. A slow sweep of the rotation frequency changes the state of the system from being at rest to the one containing one vortex. Within the mean-field framework, the jump in symmetry occurs through a turbulent phase around a certain critical frequency. The exact many-body ground state at the critical frequency exhibits strong correlations and entanglement. We believe that this constitutes a paradigm example of symmetry breaking in - or change of the order parameter of - quantum many-body systems in the course of adiabatic evolution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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