论文标题
热场动力学，量子耗散，纠缠和全息图的基于双曲环的配方
Hyperbolic ring based formulation for thermo field dynamics, quantum dissipation, entanglement, and holography
论文作者
论文摘要
与耗散动力学相关的开放系统的经典和量子公式是在复杂的双曲环上构建的，遵循通用的对称原理，并考虑了对目标系统和环境建模的双热场方法。双曲线旋转被揭示为耗散动力学的潜在内部对称性，并且化学势被确定为电荷运算符的共轭变量，因此构建了宏伟的分区函数。与标准方案相反，与双曲环上许多单位性不相等表示相关，因为仅通过仅选择一个场换向关系的一个表示来实现整个耗散量子动力学。纠缠感兴趣和环境子系统的纠缠熵操作员被构造为研究从耗散产生的纠缠的工具。讨论了我们结果的全息视角。
The classical and quantum formulations for open systems related to dissipative dynamics are constructed on a complex hyperbolic ring, following universal symmetry principles, and considering the double thermal fields approach for modeling the system of interest, and the environment. The hyperbolic rotations are revealed as an underlying internal symmetry for the dissipative dynamics, and a chemical potential is identified as conjugate variable to the charge operator, and thus a grand partition function is constructed. As opposed to the standard scheme, there are not patologies associated with the existence of many unitarity inequivalent representations on the hyperbolic ring, since the whole of the dissipative quantum dynamics is realized by choosing only one representation of the field commutation relations. Entanglement entropy operators for the subsystem of interest and the environment, are constructed as a tool for study the entanglement generated from the dissipation. The holographic perspectives of our results are discussed.
