标题： 粒子间相互作用和环境耦合在两粒子开放量子系统中的作用 显示英文标题

标题： The role of interparticle interaction and environmental coupling in a two-particle open quantum system

摘要： 研究了环境耦合对相互作用的两粒子量子系统的影响，使用了信息论的工具。检查了位置、动量和可分离相空间中单（约化）粒子和两粒子分布函数的香农熵。结果表明，环境的存在导致位置空间中的分布函数发生离域化，而在动量空间中则发生局域化。这可以解释为位置空间中的信息损失和动量空间中的信息增益。在存在环境的情况下，系统的熵和依赖于粒子间势的强度以及与环境耦合的强度。使用互信息检查了粒子之间的统计相关性及其对环境和粒子间势的依赖性。在存在环境的情况下，粒子之间的更强排斥势会导致它们位置的相关性减小，而动量的相关性增大。 显示英文摘要

摘要： The effects of bath coupling on an interacting two-particle quantum system are studied using tools from information theory. Shannon entropies of the one (reduced) and two-particle distribution functions in position, momentum and separable phase-space are examined. Results show that the presence of the bath leads to a delocalization of the distribution functions in position space, and a localization in momentum space. This can be interpreted as a loss of information in position space and a gain of information in momentum space. The entropy sum of the system, in the presence of a bath, is shown to be dependent on the strength of the interparticle potential and also on the strength of the coupling to the bath. The statistical correlation between the particles, and its dependence on the bath and interparticle potential, is examined using mutual information. A stronger repulsive potential between particles, in the presence of the bath, yields a smaller correlation between the particles positions, and a larger one between their momenta.