Quantum echoes in classical and semiclassical statistical treatments

Hierarchical quantum master equation with semiclassical Drude dissipation

We propose a nonperturbative quantum dissipation theory, in term of hierarchical quantum master equation. It may be used with a great degree of confidence to various dynamics systems in condensed phases. The theoretical development is rooted in an improved semiclassical treatment of Drude bath, beyond the conventional high temperature approximations. It leads to the new theory a simple modification but important improvement over the conventional stochastic Liouville equation theory, without extra numerical cost. Its broad range of validity and applicability is extensively demonstrated with two…

量子-热逃逸率的半经典阿伦尼乌斯定律

Discrete semiclassical theory of quantum-thermal escape

该研究解决了无耗散量子-热逃逸率连续谱处理在低温下发散的问题，通过保留准束缚谱离散性获得闭式半经典阿伦尼乌斯定律，并在十一个数量级内与精确率误差小于9%。

量子随机热力学：相空间中的半经典理论

Quantum stochastic thermodynamics: A semiclassical theory in phase space

本文提出一种基于相空间半经典处理的量子多体系统随机热力学形式体系，利用随机 Fokker-Planck 方程定义热力学量并推导守恒定律与涨落定理，为量子热力学提供了独立于两点测量方案的实验验证新途径。

Quantum corrections to the classical field approximation for one-dimensional quantum many-body systems in equilibrium

We present a semiclassical treatment of one-dimensional many-body quantum systems in equilibrium, where quantum corrections to the classical field approximation are systematically included by a renormalization of the classical field parameters. Our semiclassical approximation is reliable in the limit of weak interactions and high temperatures. As a specific example, we apply our method to the interacting Bose gas and study experimentally observable quantities, such as correlation functions of bosonic fields and the full counting statistics of the number of particles in an interval. Where possi…

A semiclassical theory of quantum noise in open chaotic systems

We consider the quantum evolution of classically chaotic systems in contact with surroundings. Based on $\hbar$-scaling of an equation for time evolution of the Wigner's quasi-probability distribution function in presence of dissipation and thermal diffusion we derive a semiclassical equation for quantum fluctuations. This identifies an early regime of evolution dominated by fluctuations in the curvature of the potential due to classical chaos and dissipation. A stochastic treatment of this classical fluctuations leads us to a Fokker-Planck equation which is reminiscent of Kramers' equation fo…