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相关论文: Time-local master equations: influence functional …

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Non-Markovian local in time master equations give a relatively simple way to describe the dynamics of open quantum systems with memory effects. Despite their simple form, there are still many misunderstandings related to the physical…

量子物理 · 物理学 2015-06-05 E. -M. Laine , K. Luoma , J. Piilo

The quantum regression theorem is a powerful tool for calculating the muli-time correlators of operators of open quantum systems which dynamics can be described in Markovian approximation. It enables to obtain the closed system of equation…

量子物理 · 物理学 2023-10-16 Ivan V. Panyukov , Vladislav Yu. Shishkov , Evgeny S. Andrianov

We investigate the energy transfer dynamics in a donor-acceptor model by developing a time-local master equation technique based on a variational transformation of the underlying Hamiltonian. The variational transformation allows a…

量子物理 · 物理学 2011-09-19 Dara P. S. McCutcheon , Ahsan Nazir

The cumulant generating function of time-averaged current is studied from an operational viewpoint. Specifically, for interacting Brownian particles under non-equilibrium conditions, we show that the first derivative of the cumulant…

统计力学 · 物理学 2015-05-30 Takahiro Nemoto , Shin-ichi Sasa

Recently we pointed out the so-called Local Time Scheme as a novel approach to quantum foundations that solves the preferred pointer-basis problem. In this paper we introduce and analyze in depth a rather non-standard dynamical map that is…

量子物理 · 物理学 2016-09-28 J. Jeknic-Dugic , M. Arsenijevic , M. Dugic

Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for…

量子物理 · 物理学 2023-04-12 Peter Groszkowski , Alireza Seif , Jens Koch , A. A. Clerk

We consider the quantum mechanical behavior of a driven particle in an infinite 1D potential well. We show that the time dependent perturbation series is induced by the delicate non-trivial properties of the momentum operator in this case,…

凝聚态物理 · 物理学 2008-02-03 Eli Eisenberg , Nadav Shnerb , Rachel Avigur

We present a derivation of the Feynman-Vernon approach to open quantum systems in the language of super-operators. We show that this gives a new and more direct derivation of the generating function of energy changes in a bath, or baths.…

量子物理 · 物理学 2020-08-26 Erik Aurell , Ryoichi Kawai , Ketan Goyal

Full information about a many-body quantum system is usually out-of-reach due to the exponential growth -- with the size of the system -- of the number of parameters needed to encode its state. Nonetheless, in order to understand the…

We microscopically model the decoherence dynamics of entangled coherent states under the influence of vacuum fluctuation. We derive an exact master equation with time-dependent coefficients reflecting the memory effect of the environment,…

量子物理 · 物理学 2009-06-02 Jun-Hong An , Mang Feng , Wei-Min Zhang

Steady-state observables, such as occupation numbers and currents, are crucial experimental signatures in open quantum systems. The time-convolutionless (TCL) master equation, which is both exact and time-local, is an ideal candidate for…

量子物理 · 物理学 2021-05-26 Michael Sven Ferguson , Oded Zilberberg , Gianni Blatter

We introduce a systematic framework to derive the effective Hamiltonian governing the coherent dynamics of non-Markovian open quantum systems. By applying the minimal dissipation principle, we uniquely isolate the coherent contribution to…

量子物理 · 物理学 2025-06-05 Alessandra Colla , Heinz-Peter Breuer , Giulio Gasbarri

The quantum master equation is a widespread approach to describing open quantum system dynamics. In this approach, the effect of the environment on the system evolution is entirely captured by the dynamical generator, providing a compact…

量子物理 · 物理学 2018-06-27 Jan Kolodynski , Jonatan Bohr Brask , Marti Perarnau-Llobet , Bogna Bylicka

The time evolution of Markovian open quantum systems is governed by Lindblad master equations, whose solution can be formally written as the Lindbladian exponential acting on the initial density matrix. By expanding this Lindbladian…

量子物理 · 物理学 2025-10-03 Jiayin Gu , Fan Zhang

Generalized master equations provide a theoretically rigorous framework to capture the dynamics of processes ranging from energy harvesting in plants and photovoltaic devices, to qubit decoherence in quantum technologies, and even protein…

化学物理 · 物理学 2024-05-16 Thomas Sayer , Andrés Montoya-Castillo

We propose a unified approach for different exponential perturbation techniques used in the treatment of time-dependent quantum mechanical problems, namely the Magnus expansion, the Floquet--Magnus expansion for periodic systems, the…

数值分析 · 数学 2024-01-24 Ana Arnal , Fernando Casas , Cristina Chiralt

Two widely used but distinct approaches to the dynamics of open quantum systems are the Nakajima-Zwanzig and time-convolutionless quantum master equation, respectively. Although both describe identical quantum evolutions with strong memory…

量子物理 · 物理学 2021-05-27 Konstantin Nestmann , Valentin Bruch , Maarten Rolf Wegewijs

A variational Perturbation theory based on the functional integral approach is formulated for many-particle systems. Using the variational action obtained through Jensen-Peierls' inequality, a perturbative expansion scheme for the…

强关联电子 · 物理学 2009-10-31 Sang Koo You , Chul Koo Kim , Kyun Nahm , Hyun Sik Noh

In this paper, we propose a fractional time extension of the Quan tum Master Equation. We introduce a Caputo-type fractional derivative in time as an extension of the exponential decay of the Lindblad framework through the incorporation of…

量子物理 · 物理学 2025-12-22 Taylan Demir

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