arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1802.04088cond-mat.quant-gascond-mat.stat-mechquant-ph
收藏

受驱耗散理想玻色气体中玻色选择模的数目

On the number of Bose-selected modes in driven-dissipative ideal Bose gases

Alexander Schnell, Roland Ketzmerick, André Eckardt

摘要:

在理想玻色气体中,如果被驱动到远离热平衡的稳定状态,则会发生广义形式的玻色凝聚。也就是说,单粒子状态明确地分为两组:玻色选择状态组,其占用随总粒子数线性增加,以及所有其他状态的占用饱和组[Phys. Rev. Lett. 111,240405(2013)]。然而,到目前为止,关于玻色选择态的数量如何取决于系统的性质及其与环境的耦合,人们知之甚少。这个问题的答案是至关重要的,因为拥有单个、几个或大量玻色选择态的系统将表现出相当不同的行为。虽然在前两种情况下,每个选定的模式获得宏观占领,对应于(破碎)玻色凝聚,后一种情况下,而承担类似的高温状态的物质。本文系统地研究了玻色选择态的数目,考虑了在弱系统-浴耦合极限下表征驱动耗散理想玻色气体的不同类速率矩阵。这些包括率矩阵与连续极限,率矩阵的混沌驱动系统,随机率矩阵,和率矩阵产生的热浴耦合到少数几个可观的。

英文摘要:

In an ideal Bose gas that is driven into a steady state far from thermal equilibrium, a generalized form of Bose condensation can occur. Namely, the single-particle states unambiguously separate into two groups: the group of Bose-selected states, whose occupations increase linearly with the total particle number, and the group of all other states whose occupations saturate [Phys. Rev. Lett. 111, 240405 (2013)]. However, so far very little is known about how the number of Bose-selected states depends on the properties of the system and its coupling to the environment. The answer to this question is crucial since systems hosting a single, a few, or an extensive number of Bose-selected states will show rather different behavior. While in the former two scenarios each selected mode acquires a macroscopic occupation, corresponding to (fragmented) Bose condensation, the latter case rather bears resemblance to a high-temperature state of matter. In this paper, we systematically investigate the number of Bose-selected states, considering different classes of the rate matrices that characterize the driven-dissipative ideal Bose gases in the limit of weak system-bath coupling. These include rate matrices with continuum limit, rate matrices of chaotic driven systems, random rate matrices, and rate matrices resulting from thermal baths that couple to a few observables only.

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。

↑