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20042026
most citedExact quantum master equation via the calculus on path integrals

266 citations · 1k across the 51 of their papers we have counts for

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13 papers · 1 filter

cond-mat.stat-mech2022★ 5 cited

Multimode Brownian oscillators: Exact solutions to heat transport

Xin-Hai Tong, Hong Gong, Yao Wang +2

In this work, we investigate the multimode Brownian oscillators in nonequilibrium scenarios with multiple reservoirs at different temperatures. For this purpose, an algebraic metho…

cond-mat.stat-mech2022★ 12 cited

Nonequilibrium work distributions in quantum impurity system-bath mixing processes

Hong Gong, Yao Wang, Xiao Zheng +2

The fluctuation theorem, where the central quantity is the work distribution, is an important characterization of nonequilibrium thermodynamics. In this work, based on the dissipat…

cond-mat.stat-mech2021

Temperature-dependence of the subdivision potential in nanothermodynamics

Yu Su, Zi-Fan Zhu, Hong Gong +3

Nanothermodynamics is the thermodynamics of small systems, which are signifcantly affected by their surrounding environments. In nanothermodynamics, Hill introduced the concept of…

cond-mat.stat-mech2021★ 15 cited

A statistical quasi-particles thermofield theory with Gaussian environments: System-bath entanglement theorem for nonequilibrium correlation functions

Yao Wang, Zi-Hao Chen, Rui-Xue Xu +2

For open quantum systems, the Gaussian environmental dissipative effect can be represented by statistical quasi-particles, namely, dissipatons. We exploit this fact to establish th…

cond-mat.stat-mech2020★ 25 cited

Equilibrium and transient thermodynamics: A unified dissipaton-space approach

Hong Gong, Yao Wang, Hou-Dao Zhang +4

This work presents a unified dissipaton-equation-of-motion (DEOM) theory and its evaluations on the Helmholtz free energy change due to the isotherm mixing of two isolated subsyste…

cond-mat.stat-mech2020★ 15 cited

System-bath entanglement theorem with Gaussian environments

Peng-Li Du, Yao Wang, Rui-Xue Xu +2

In this work, we establish a so-called "system-bath entanglement theorem", for arbitrary systems coupled with Gaussian environments. This theorem connects the entangled system-bath…

cond-mat.stat-mech2013

Hierarchical dynamics for system-bath coherence correlation spectrum

Hou-Dao Zhang, Jian Xu, Rui-Xue Xu +2

We propose a quasi-particle description for the hierarchical equations of motion formalism for quantum dissipative dynamics systems. Not only it provides an alternative mathematica…

cond-mat.stat-mech2009★ 11 cited

Hierarchical theory of quantum dissipation: Partial fraction decomposition scheme

Jian Xu, Rui-Xue Xu, Meng Luo +1

We propose a partial fraction decomposition scheme to the construction of hierarchical equations of motion theory for bosonic quantum dissipation systems. The expansion of Bose--Ei…

cond-mat.stat-mech2009★ 32 cited

Hierarchical quantum master equation with semiclassical Drude dissipation

Rui-Xue Xu, Bao-Ling Tian, Jian Xu +2

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 syste…

cond-mat.stat-mech2009★ 18 cited

Exact quantum dissipative dynamics under external time-dependent fields driving

Jian Xu, Rui-Xue Xu, YiJing Yan

Exact and nonperturbative quantum master equation can be constructed via the calculus on path integral. It results in hierarchical equations of motion for the reduced density opera…

cond-mat.stat-mech2009★ 21 cited

Exact dynamics of driven Brownian oscillators

Rui-Xue Xu, Bao-Ling Tian, Jian Xu +1

Exact quantum master equation for a driven Brownian oscillator system is constructed via a Wigner phase-space Gaussian wave packet approach. The interplay between external field an…

cond-mat.stat-mech2006★ 187 cited

Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach

Rui-Xue Xu, YiJing Yan

A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at any temperature and in…

cond-mat.stat-mech2006★ 73 cited

Dynamics of quantum dissipation systems interacting with Fermion and Boson grand canonical bath ensembles: Hierarchical equations of motion approach

Jinshuang Jin, Sven Welack, JunYan Luo +4

A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed, on the basis of the calculus-on-path-in…