论文标题
强耦合量子热力学与重新归一化的哈密顿量和温度
Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature
论文作者
论文摘要
我们基于确切的主方程的解决方案开发了强耦合量子热力学。我们发现，由于系统储存的耦合，哈密顿量和温度都必须重新归一化。使用重新归一化的哈密顿量和温度，开放量子系统的确切稳态可以表示为标准的吉布斯状态。精确的稳态颗粒分布仅适用于重生的能量和温度的Bose-Einstein分布或费米 - 迪拉克分布。在此公式中，热量和工作是量子定义的，我们从中计算特定的热量并检查理论的一致性。因此，热力学定律和统计力学自然而严格地从开放系统的量子演变中出现。
We develop the strong coupling quantum thermodynamics based on the solution of the exact master equation. We find that both the Hamiltonian and the temperature must be renormalized due to the system-reservoir couplings. With the renormalized Hamiltonian and temperature, the exact steady state of open quantum systems can be expressed as a standard Gibbs state. The exact steady-state particle distributions obey the Bose-Einstein distribution or the Fermi-Dirac distribution only for the renormalized energy and temperature. In this formulation, heat and work are quantum mechanically defined, from which we compute the specific heat and examine the consistency of the theory. Consequently, thermodynamic laws and statistical mechanics emerge naturally and rigorously from quantum evolution of open systems.
