arXiv 1808.013602018-08-03cond-mat.quant-gas

二维旋转玻色-爱因斯坦凝聚体的信息熵

Information entropy for a two-dimensional rotating Bose-Einstein condensate

R. Kishor Kumar, B. Chakrabarti, A. Gammal

发表信息：: J Low Temp Phys (2018)
DOI：: 10.1007/s10909-018-2051-8

摘要：

我们研究了二维旋转和非旋转玻色-爱因斯坦凝聚体的信息熵、有序、无序和复杂性。我们的系统的选择是一个完整的理论实验室，其中的复杂性是由两体接触相互作用强度和旋转频率（$Ω$）的谐波陷阱控制。二维非旋转凝聚体显示了I类的复杂性，其中无序-有序转变是由相互作用强度触发的。在旋转凝聚体中，当相互作用强度固定时，选择$Ω$作为无序参数。对于$Ω$，最大值和最小值之间的复杂性变化证实了旋转凝聚体中存在II类复杂性。当$Ω$不变时，我们认为相互作用强度是无序参数，复杂度作为相互作用强度的函数表现为III类复杂度。本文还计算了二维量子系统熵的上界和下界。

英文摘要：

We study the information entropy, order, disorder, and complexity for the two-dimensional (2D) rotating and nonrotating Bose-Einstein condensates. The choice of our system is a complete theoretical laboratory where the complexity is controlled by the two-body contact interaction strength and the rotation frequency ($Ω$) of the harmonic trap. The 2D nonrotating condensate shows the complexity of the category I where the disorder-order transition is triggered by the interaction strength. In the rotating condensates, $Ω$ is chosen as the disorder parameter when the interaction strength is fixed. With respect to $Ω$, the complexity shifts between the maximum and minimum confirm the existence of category II complexity in the rotating condensate. Also, We consider the interaction strength as the disorder parameter when $Ω$ is unchanged and complexity as a function of interaction strength exhibits category III complexity. The present work also includes the calculation of upper bound and lower bound of entropy for 2D quantum systems.

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