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The simulation of quantum transport in a realistic, many-particle system is a nontrivial problem with no quantitatively satisfactory solution. While real-time propagation has the potential to overcome the shortcomings of conventional…

介观与纳米尺度物理 · 物理学 2015-10-16 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

Well--defined criteria are proposed for assessing the accuracy of quantum master equations whose memory functions are approximated by Pad\'e resummation of the first two moments in the electronic coupling. These criteria partition the…

介观与纳米尺度物理 · 物理学 2016-05-04 Hsing-Ta Chen , Timothy C. Berkelbach , David R. Reichman

The quantum master equation obtained by generalizing the geometric formulation of nonequilibrium thermodynamics to dissipative quantum systems is seriously nonlinear. We argue that nonlinearity occurs naturally in the step from reversible…

量子物理 · 物理学 2010-03-01 Hans Christian Öttinger

A quantum dissipation theory is formulated in terms of hierarchically coupled equations of motion for an arbitrary electronic system coupled with grand canonical Fermion bath ensembles. The theoretical construction starts with the…

介观与纳米尺度物理 · 物理学 2011-03-17 Jinshuang Jin , Xiao Zheng , YiJing Yan

The quantum master equation (QME), used to describe the Markov process of interaction between atoms and field, has a number of significant drawbacks. It is extremely memory intensive, and also inapplicable to the case of long-term memory in…

量子物理 · 物理学 2024-10-29 Yuri Ozhigov , You Jiangchuan

We revisit the model of a quantum Brownian oscillator linearly coupled to an environment of quantum oscillators at finite temperature. By introducing a compact and particularly well-suited formulation, we give a rather quick and direct…

量子物理 · 物理学 2011-05-17 C. H. Fleming , Albert Roura , B. L. Hu

We consider the evolution of open quantum systems coupled to one or more Gaussian environments. We demonstrate that such systems can be described by a Markovian quantum master equation (MQME) up to a correction that decreases exponentially…

量子物理 · 物理学 2026-03-06 Johannes Agerskov , Frederik Nathan

A general method is developed which enables the exact treatment of the non-Markovian quantum dynamics of open systems through a Monte Carlo simulation technique. The method is based on a stochastic formulation of the von Neumann equation of…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

We introduce and apply a numerically exact method for investigating the real-time dissipative dynamics of quantum impurities embedded in a macroscopic environment beyond the weak-coupling limit. We focus on the spin-boson Hamiltonian that…

强关联电子 · 物理学 2013-02-04 Peter P. Orth , Adilet Imambekov , Karyn Le Hur

A quantum system interacting with a dilute gas experiences irreversible dynamics. The corresponding master equation can be derived within two different approaches: The fully quantum description in the low-density limit and the semiclassical…

量子物理 · 物理学 2020-01-20 S. N. Filippov , G. N. Semin , A. N. Pechen

In order to model realistic quantum devices it is necessary to simulate quantum systems strongly coupled to their environment. To date, most understanding of open quantum systems is restricted either to weak system-bath couplings, or to…

量子物理 · 物理学 2018-09-25 Aidan Strathearn , Peter Kirton , Dainius Kilda , Jonathan Keeling , Brendon W. Lovett

An original method to exactly solve the non-Markovian Master Equation describing the interaction of a single harmonic oscillator with a quantum environment in the weak coupling limit is reported. By using a superoperatorial approach we…

量子物理 · 物理学 2009-11-07 F. Intravaia , S. Maniscalco , A. Messina

A perturbative quantum master equation is derived for a system interacting with its environment, which is more general than the ones derived before. Our master equation takes into account the effect of the energy exchanges between the…

统计力学 · 物理学 2009-11-10 M. Esposito , P. Gaspard

We analytically derive the exact -- though formal -- master equation for a two-level quantum system (qubit) interacting with a bosonic environment within the rotating-wave approximation, assuming the environment is initially in an arbitrary…

量子物理 · 物理学 2025-10-16 Hiromichi Nakazato , Saverio Pascazio

The methodology of stochastic description for dissipation, a generic scheme to decouple the interaction between two subsystems, is applied to the study of dissipative dynamics in quantum optics. It is shown that the influence of the coupled…

量子物理 · 物理学 2012-05-22 Haifeng Li , Jiushu Shao

We study the Markovian dynamics of a collection of n quantum systems coupled to an irreversible environmental channel consisting of a stream of n entangled qubits. Within the framework of repeated quantum interactions, we derive the master…

量子物理 · 物理学 2018-12-07 Shakib Daryanoosh , Ben Q. Baragiola , Thomas Guff , Alexei Gilchrist

The exact dynamics of a system coupled to an environment can be described by an integro-differential stochastic equation of its reduced density. The influence of the environment is incorporated through a mean-field which is both stochastic…

量子物理 · 物理学 2009-11-13 Denis Lacroix

Nonequilibrium energy transport serves as one of fundamental problems in quantum thermodynamics and quantum technologies. Driven quantum master equation in the dressed picture provides an efficient way of investigating nonequilibrium energy…

量子物理 · 物理学 2026-04-01 Junran Kong , Yuwei Lu , Huan Liu , Liwei Duan , Chen Wang

Strong coupling between a system and its environment leads to the emergence of non-Markovian dynamics, which cannot be described by a time-local master equation. One way to capture such dynamics is to use numerical real-time path integrals,…

介观与纳米尺度物理 · 物理学 2017-11-29 Aidan Strathearn , Brendon W. Lovett , Peter Kirton

We present an exact master equation for a central spin-$1/2$ system coupled to a spin-$1/2$ bath in terms of hyperfine interaction, which provides a unified formalism for both free evolution and controlled dynamics of the central spin. The…

量子物理 · 物理学 2016-01-28 Jun Jing , Lian-Ao Wu