论文标题
隐藏的时间交流对称性，量子详细平衡和驱动量子系统的精确解决方案
Hidden time-reversal symmetry, quantum detailed balance and exact solutions of driven-dissipative quantum systems
论文作者
论文摘要
基于相关函数的时间对称性，驱动的驱动量子系统通常无法满足详细平衡的简单概念。我们表明，此类系统仍然可以表现出隐藏的时间反转对称性，最直接地以适当的纠缠热菲尔德双状态制备的原始系统的双倍版本表现出来。这种隐藏的时间反转对称性具有直接的操作实用性：它提供了一种通用方法来找到非平凡稳态的精确解决方案。这种方法的特殊情况包括量子光学元件的相干量子吸收器和复合物-P $功能方法。我们还表明，即使在单一系统实验中，隐藏的TRS也具有可观察到的后果，并且可以通过非线性，热波动和驾驶的非平凡组合而破坏。为了说明我们的想法，我们分析了驱动量子和非线性腔的具体例子。这些系统表现出隐藏的时间反转对称性，但不传统的详细平衡。
Driven-dissipative quantum systems generically do not satisfy simple notions of detailed balance based on the time symmetry of correlation functions. We show that such systems can nonetheless exhibit a hidden time-reversal symmetry which most directly manifests itself in a doubled version of the original system prepared in an appropriate entangled thermofield double state. This hidden time-reversal symmetry has a direct operational utility: it provides a general method for finding exact solutions of non-trivial steady states. Special cases of this approach include the coherent quantum absorber and complex-$P$ function methods from quantum optics. We also show that hidden TRS has observable consequences even in single-system experiments, and can be broken by the non-trivial combination of nonlinearity, thermal fluctuations, and driving. To illustrate our ideas, we analyze concrete examples of driven qubits and nonlinear cavities. These systems exhibit hidden time-reversal symmetry but not conventional detailed balance.
