arXiv 0709.37802007-09-24quant-phcond-mat.otherphysics.atom-ph

具有拓扑模的玻色-爱因斯坦凝聚体动力学相变的序参量

Order parameter for the dynamical phase transition in Bose-Einstein condensates with topological modes

E. R. F. Ramos, L. Sanz, V. I. Yukalov, V. S. Bagnato

发表信息：: Phys. Rev. A 76, 033608 (2007)
DOI：: 10.1103/PhysRevA.76.033608

摘要：

在囚禁的玻色-爱因斯坦凝聚体中，受到交变外场的作用，可以共振激发出相干拓扑模。根据外场的振幅和失谐量的不同，有锁模和无锁模两种不同的运动状态，动态状态的变化对应于动态相变。这种转变可以通过有效的序参量来表征，该序参量被定义为在振荡的时间周期上平均的分数模布居之间的差。这个序参量的行为，作为一个函数的失谐，泵浦幅度，和原子之间的相互作用进行了仔细分析。一个特别注意的是支付给一个四极激励场的现实情况下，在目前的实验和系统参数的数值计算。

英文摘要：

In a trapped Bose-Einstein condensate, subject to the action of an alternating external field, coherent topological modes can be resonantly excited. Depending on the amplitude of the external field and detuning parameter, there are two principally different regimes of motion, with mode locking and without it. The change of the dynamic regime corresponds to a dynamic phase transition. This transition can be characterized by an effective order parameter defined as the difference between fractional mode populations averaged over the temporal period of oscillations. The behavior of this order parameter, as a function of detuning, pumping amplitude, and atomic interactions is carefully analyzed. A special attention is payed to numerical calculations for the realistic case of a quadrupole exciting field and the system parameters accessible in current experiments.

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