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arXiv 2107.09354quant-phcond-mat.dis-nncond-mat.stat-mech
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量子网络作为一种环境

The quantum network as an environment

Erik Aurell, Roberto Mulet, Jan Tuziemski

摘要:

与其他量子系统相互作用的量子系统将这些其他系统体验为有效环境。环境是网络中所有其他自由度的综合结果,可以用作用于感兴趣系统的费曼-弗农影响泛函(IF)来表示。网络的特征在于组成系统,它们如何相互作用,以及这些相互作用的拓扑结构。在这里,我们表明,对于具有局部树状图的拓扑结构的网络,Feynman-Vernon影响泛函可以用新版本的腔或置信传播(BP)方法来确定。在BP更新阶段,腔IF被映射到腔IF,而在BP输出阶段,腔IF被组合到输出IF。我们计算了均匀相互作用谐振子系统的这个版本的BP的不动点。我们将讨论在这种情况下的无序对称性和影响。

英文摘要:

quantum system interacting with other quantum systems experiences these other systems asan effective environment. The environment is the result of integrating out all the other degrees of freedom in the network, and can be represented by a Feynman-Vernon influence functional (IF)acting on system of interest. A network is characterized by the constitutive systems, how they interact, and the topology of those interactions. Here we show that for networks having the topology of locally tree-like graphs, the Feynman-Vernon influence functional can be determined in a new version of the cavity or Belief Propagation (BP) method. In the BP update stage, cavity IFs are mapped to cavity IFs, while in the BP output stage cavity IFs are combined to output IFs. We compute the fixed point of of this version of BP for harmonic oscillator systems interacting uniformly. We discuss Replica Symmetry and the effects of disorder in this context.

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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