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We outline a non-perturbative approach for simulating the behavior of open quantum systems interacting with a bosonic environment defined by a generalized spectral density function. The method is based on replacing the environment by a set…

量子物理 · 物理学 2021-08-13 Graeme Pleasance , Francesco Petruccione

The pseudomode framework provides an exact description of the dynamics of an open quantum system coupled to a non-Markovian environment. Using this framework, the influence of the environment on the system is studied in an equivalent model,…

量子物理 · 物理学 2024-09-12 Paul Menczel , Ken Funo , Mauro Cirio , Neill Lambert , Franco Nori

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

量子物理 · 物理学 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

A systematic approach to the non-Markovian quantum dynamics of open systems is given by the projection operator techniques of nonequilibrium statistical mechanics. Combining these methods with concepts from quantum information theory and…

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

Embedding non-Markovian open quantum dynamics into an enlarged Markovian space offers a powerful route to nonperturbative simulations, where the dynamics of the extended space can be governed by multiple distinct Markovian equations. We…

量子物理 · 物理学 2026-02-26 Meng Xu , J. T. Stockburger , J. Ankerhold

Dissipative phase transitions in quantum systems have been largely studied under the so-called Markovian approximation, where the environments to which the systems are coupled are memoryless. Here, we present a generalization of the…

量子物理 · 物理学 2024-10-28 Baptiste Debecker , John Martin , François Damanet

Non-Markovian effects are important in modeling the behavior of open quantum systems arising in solid-state physics, quantum optics as well as in study of biological and chemical systems. The non-Markovian environment is often approximated…

量子物理 · 物理学 2022-01-05 Rahul Trivedi , Daniel Malz , J. Ignacio Cirac

An approach, called discretized environment method, is introduced to treat exactly non-Markovian effects in open quantum systems. In this approach, a complex environment described by a spectral function is mapped into a finite set of…

量子物理 · 物理学 2015-06-22 Denis Lacroix , V. V. Sargsyan , G. G. Adamian , N. V. Antonenko

Coupled Lindblad pseudomode theory is a promising approach for simulating non-Markovian quantum dynamics on both classical and quantum platforms, with dynamics that can be realized as a quantum channel. We provide theoretical evidence that…

量子物理 · 物理学 2026-03-27 Zhen Huang , Gunhee Park , Garnet Kin-Lic Chan , Lin Lin

We identify the conditions that guarantee equivalence of the reduced dynamics of an open quantum system (OQS) for two different types of environments - one a continuous bosonic environment leading to a unitary system-environment evolution…

量子物理 · 物理学 2018-01-24 Dario Tamascelli , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

The pseudomode method for open quantum systems, also known as the mesoscopic leads approach, consists in replacing a structured environment by a set of auxiliary "pseudomodes" subject to local damping that approximate the environment's…

量子物理 · 物理学 2026-05-25 Wynter Alford , Laetitia P. Bettmann , Gabriel T. Landi

We introduce a new framework to study the dynamics of open quantum systems with linearly coupled Gaussian baths. Our approach replaces the continuous bath with an auxiliary discrete set of pseudomodes with dissipative dynamics, but we…

量子物理 · 物理学 2024-11-26 Gunhee Park , Zhen Huang , Yuanran Zhu , Chao Yang , Garnet Kin-Lic Chan , Lin Lin

This is a concise, pedagogical introduction to the dynamic field of open quantum systems governed by Markovian master equations. We focus on the mathematical and physical origins of the widely used Lindblad equation, its unraveling in terms…

量子物理 · 物理学 2025-11-05 Shovan Dutta

We show that an open fermionic system coupled to continuous environment with unitary system-environment evolution can be exactly mapped onto an auxiliary system consisting of the physical fermion system and a set of discrete fermionic modes…

介观与纳米尺度物理 · 物理学 2019-12-19 Feng Chen , Enrico Arrigoni , Michael Galperin

A wide class of non-Markovian completely positive master equations can be formulated on the basis of quantum collisional models. In this phenomenological approach the dynamics of an open quantum system is modeled through an ensemble of…

量子物理 · 物理学 2013-09-26 Adrian A. Budini

A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics that can be described by the Lindblad master equation in Liouville density operator space. The method extends the Hilbert space…

量子物理 · 物理学 2021-02-03 Alexander Karabanov , Walter Köckenberger

Open quantum system interacting with structured environment is important and manifests non- Markovian behavior, which was conventionally studied using quantum trajectory stochastic method. In this paper, by dividing the effects of the…

量子物理 · 物理学 2011-01-25 Chengjun Wu , Yang Li , Mingyi Zhu , Hong Guo

We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation.…

量子物理 · 物理学 2009-10-30 Lajos Diosi , Walter T. Strunz

We present a general theory of non-Markovian dynamics for open quantum systems. We explore the non-Markovian dynamics by connecting the exact master equations with the non-equilibirum Green functions. Environmental back-actions are fully…

量子物理 · 物理学 2013-05-30 Wei-Min Zhang , Ping-Yuan Lo , Heng-Na Xiong , Matisse Wei-Yuan Tu , Franco Nori

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

量子物理 · 物理学 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold
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