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We address the dynamics of a bosonic system coupled to either a bosonic or a magnetic environment, and derive a set of sufficient conditions that allow one to describe the dynamics in terms of the effective interaction with a classical…

Quantum coherence inherently affects the dynamics and the performances of a quantum machine. Coherent control can, at least in principle, enhance the work extraction and boost the velocity of evolution in an open quantum system. Using…

量子物理 · 物理学 2018-12-10 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

We treat several key stochastic equations for non-Markovian open quantum system dynamics and present a formalism for finding solutions to them via canonical perturbation theory, without making the Born-Markov or rotating wave approximations…

量子物理 · 物理学 2012-02-06 C. H. Fleming , B. L. Hu

Using a newly introduced connection between the local and non-local description of open quantum system dynamics, we investigate the relationship between these two characterisations in the case of quantum semi-Markov processes. This class of…

量子物理 · 物理学 2020-08-24 Nina Megier , Andrea Smirne , Bassano Vacchini

Methods for modeling large driven dissipative quantum systems are becoming increasingly urgent due to recent experimental progress in a number of photonic platforms. We demonstrate the positive-P method to be ideal for this purpose across a…

量子物理 · 物理学 2021-02-09 Piotr Deuar , Alex Ferrier , Michał Matuszewski , Giuliano Orso , Marzena H. Szymańska

We derive an exact master equation that captures the dynamics of a quadratic quantum system linearly coupled to a Gaussian environment of the same statistics: the Gaussian Master Equation (GME). Unlike previous approaches, our formulation…

量子物理 · 物理学 2026-01-21 Antonio D'Abbruzzo , Vittorio Giovannetti , Vasco Cavina

While it is well known that complete positivity guarantees the fulfilment of the second law of thermodynamics, its possible violations have never been proposed as a check of the complete positivity of a given open quantum dynamics. We…

量子物理 · 物理学 2015-10-28 G. Argentieri , F. Benatti , R. Floreanini , M. Pezzutto

In the following, we study the dissipative time-evolution of a quantum chain consisting of three coupled harmonic oscillators, the first and third of which weakly interact quadratically with two independent thermal baths in equilibrium at…

量子物理 · 物理学 2025-05-23 Melika Babakan , Fabio Benatti , Laleh Memarzadeh

Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment. The quantum dynamics arising from many important applications are non-Markovian. Although for special cases,…

量子物理 · 物理学 2023-03-01 Xiantao Li , Chunhao Wang

Most quantum theorists are familiar with different ways of describing the effective quantum dynamics of a system coupled to external degrees of freedom, such as the Born-Markov master equation or the adiabatic elimination. Understanding the…

量子物理 · 物理学 2024-09-04 C. Gonzalez-Ballestero

Following a recent work (briefly reviewed below) we consider temporal fluctuations in the reduced density matrix elements for a coupled system involving a pair of kicked rotors as also one made up of a pair of Harper Hamiltonians. These…

量子物理 · 物理学 2009-11-10 Sankhasubhra Nag , Gautam Ghosh , Avijit Lahiri

We study decoherence in a simple quantum mechanical model using two approaches. Firstly, we follow the conventional approach to decoherence where one is interested in solving the reduced density matrix from the perturbative master equation.…

量子物理 · 物理学 2015-05-20 Jurjen F. Koksma , Tomislav Prokopec , Michael G. Schmidt

A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Markov approximation, is analyzed for the…

化学物理 · 物理学 2011-06-30 Navinder Singh , Paul Brumer

We investigate the problem of what evolutions an open quantum system described by a time-local Master equation can undergo with universal coherent controls. A series of conditions are given which exclude channels from being reachable by any…

量子物理 · 物理学 2016-08-08 Benjamin Dive , Daniel Burgarth , Florian Mintert

A completely positive master equation describing quantum dissipation for a Brownian particle is derived starting from microphysical collisions, exploiting a recently introduced approach to subdynamics of a macrosystem. The obtained equation…

量子物理 · 物理学 2009-11-06 B. Vacchini

Quantum master equations are widely used to describe the dynamics of open quantum systems. All these different master equations rely on specific approximations that may or may not be justified. Starting from a microscopic model, applying…

Quantum state processing is one of the main tools of quantum technologies. While real systems are complicated and/or may be driven by non-ideal control they may nevertheless exhibit simple dynamics approximately confined to a low-energy…

量子物理 · 物理学 2023-06-21 Nicola Macrì , Luigi Giannelli , Elisabetta Paladino , Giuseppe Falci

A quantum master equation is obtained for identical fermions by including a relaxation term in addition to the mean-field Hamiltonian. [Huang C F and Huang K N 2004 Chinese J. Phys. ${\bf 42}$ 221; Gebauer R and Car R 2004 Phys. Rev. B…

量子物理 · 物理学 2007-06-30 C. F. Huang , K. -N. Huang

Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

量子物理 · 物理学 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

We study the conditions under which a subsystem code is correctable in the presence of noise that results from continuous dynamics. We consider the case of Markovian dynamics as well as the general case of Hamiltonian dynamics of the system…

量子物理 · 物理学 2008-08-24 Ognyan Oreshkov , Daniel A. Lidar , Todd A. Brun
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