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We propose a quasi-particle description for the hierarchical equations of motion formalism for quantum dissipative dynamics systems. Not only it provides an alternative mathematical means to the existing formalism, the new protocol…

Statistical Mechanics · Physics 2013-05-14 Hou-Dao Zhang , Jian Xu , Rui-Xue Xu , Xiao Zheng , YiJing Yan

We propose a new representation for several quantum master equations in so-called quasithermodynamic form. This representation (when it exists) let one to write down dynamical equations both for diagonal and non-diagonal elements of density…

Quantum Physics · Physics 2014-08-21 E. D. Vol

We investigate the Lindblad equation in the context of boundary-driven magnetization transport in spin-$1/2$ chains. Our central question is whether the nonequilibrium steady state of the open system, including its buildup in time, can be…

In this work we construct a novel dissipaton-equation-of-motion (DEOM) theory in quadratic bath coupling environment, based an extended algebraic statistical quasi-particle approach. To validate the new ingredient of the underlying…

Chemical Physics · Physics 2017-10-11 Rui-Xue Xu , Yang Liu , Hou-Dao Zhang , YiJing Yan

We develop a framework that provides a straightforward approach to fully exploit the permutational symmetry of identical multi-level systems. By taking into account the permutational symmetry, we outline a simple scheme that allows to map…

Quantum Physics · Physics 2022-04-06 Rui E. F. Silva , Johannes Feist

In this paper we consider the modelling and simulation of open quantum systems from a device engineering perspective. We derive master equations at different levels of approximation for a Superconducting Quantum Interference Device (SQUID)…

Liouvillian dynamics describes the evolution of a density operator in closed quantum systems. One extension towards open quantum systems is provided by the Lindblad equation. It is applied to various systems and energy regimes in solid…

Quantum Physics · Physics 2024-10-16 Jan Rais , Adrian Koenigstein , Niklas Zorbach , Carsten Greiner

We present a protocol for the study of the dynamics and thermodynamics of quantum systems strongly coupled to a bath and subject to an external modulation. Our protocol quantifies the evolution of the system-bath composite by expanding the…

Statistical Mechanics · Physics 2018-10-24 Wenjie Dou , Maicol A. Ochoa , Abraham Nitzan , Joseph E. Subotnik

The simulation of many-body open quantum systems is key to solving numerous outstanding problems in physics, chemistry, material science, and in the development of quantum technologies. Near-term quantum computers may bring considerable…

Quantum Physics · Physics 2025-02-05 Sara Santos , Xinyu Song , Vincenzo Savona

We present a general quantum fluctuation theorem for the entropy production of an open quantum system coupled to multiple environments, not necessarily at equilibrium. Such a general theorem, when restricted to the weak-coupling and…

Quantum Physics · Physics 2022-06-29 Gabriele De Chiara , Alberto Imparato

We introduce a response theory for open quantum systems within nonequilibrium steady-states subject to a Hamiltonian perturbation. Working in the weak system-bath coupling regime, our results are derived within the…

Quantum Physics · Physics 2021-07-07 Amikam Levy , Eran Rabani , David T. Limmer

A study of the dynamics of a tunneling particle in a driven bistable potential which is moderately-to-strongly coupled to a bath is presented. Upon restricting the system dynamics to the Hilbert space spanned by the M lowest energy…

Condensed Matter · Physics 2009-11-07 M. Thorwart , M. Grifoni , P. Hänggi

This article focuses on the general theory of open quantum systems in the Gaussian regime and explores a number of diverse ramifications and consequences of the theory. We shall first introduce the Gaussian framework in its full generality,…

Quantum Physics · Physics 2017-01-19 Marco G. Genoni , Ludovico Lami , Alessio Serafini

This paper discusses quantum adiabatic elimination, which is a model reduction technique for a composite Lindblad system consisting of a fast decaying sub-system coupled to another sub-system with a much slower timescale. Such a system…

Quantum Physics · Physics 2024-06-05 Masaaki Tokieda , Cyril Elouard , Alain Sarlette , Pierre Rouchon

Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that…

Quantum Physics · Physics 2024-03-25 A. P. Babu , S. Alipour , A. T. Rezakhani , T. Ala-Nissila

Simulating the dynamics of open quantum systems is a crucial task in quantum computing, offering wide-ranging applications but remaining computationally challenging. In this paper, we propose two quantum algorithms for simulating the…

Quantum Physics · Physics 2025-10-29 Sirui Peng , Xiaoming Sun , Qi Zhao , Hongyi Zhou

Quantum computers can efficiently simulate Lindbladian dynamics, enabling powerful applications in open system simulation, thermal and ground-state preparation, autonomous quantum error correction, dissipative engineering, and more. Despite…

Quantum Physics · Physics 2025-10-20 Wenjun Yu , Xiaogang Li , Qi Zhao , Xiao Yuan

In this article we revisit the theory of open quantum systems from the perspective of fermionic baths. Specifically, we concentrate on the dynamics of a central spin half particle interacting with a spin bath. We have calculated the exact…

Quantum Physics · Physics 2021-09-14 Samyadeb Bhattacharya , Subhashish Banerjee

Out-of-equilibrium fermionic quantum impurity models (QIM), describing a small interacting system coupled to a continuous fermionic bath, play an important role in condensed matter physics. Solving such models is a computationally demanding…

Strongly Correlated Electrons · Physics 2025-11-10 Julian Thoenniss , Ilya Vilkoviskiy , Dmitry A. Abanin

The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

Statistical Mechanics · Physics 2016-06-29 Kay Brandner , Udo Seifert