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In this paper we demonstrate that two commonly used phenomenological post-Markovian quantum master equations can be derived without using any perturbative approximation. A system coupled to an environment characterized by self-classical…

量子物理 · 物理学 2014-02-03 Adrian A. Budini

We examine a completely positive and trace preserving evolution of finite dimensional open quantum system, coupled to large environment via periodically modulated interaction Hamiltonian. We derive a corresponding Markovian Master Equation…

数学物理 · 物理学 2021-01-12 Krzysztof Szczygielski

Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of…

量子物理 · 物理学 2021-12-09 Patrick P. Potts , Alex Arash Sand Kalaee , Andreas Wacker

It is very common in the literature to write down a Markovian quantum master equation in Lindblad form to describe a system with multiple degrees of freedom and weakly connected to multiple thermal baths which can, in general, be at…

量子物理 · 物理学 2022-04-06 Devashish Tupkary , Abhishek Dhar , Manas Kulkarni , Archak Purkayastha

We consider several observers who monitor different parts of the environment of a single quantum system and use their data to deduce its state. We derive a set of conditional stochastic master equations that describe the evolution of the…

量子物理 · 物理学 2009-11-07 Jacek Dziarmaga , Diego A. R. Dalvit , Wojciech H. Zurek

Driven-dissipative qubit-resonator dynamics, which are the basis of most dispersive superconducting qubit measurement schemes, are often modeled with Lindblad master equations built from subsystem local jump operators, even when the qubit…

量子物理 · 物理学 2026-05-29 Prakritish Gogoi , Angela Riva , Émile Cochin , Alex Chin

The Lindblad form guarantees complete positivity of a Markovian quantum master equation (QME). However, its microscopic derivation for a quantum system weakly interacting with a thermal bath requires several approximations, which may result…

量子物理 · 物理学 2022-11-23 Jae Sung Lee , Joonhyun Yeo

The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several interacting subsystems such a derivation is in many…

量子物理 · 物理学 2018-11-20 G. De Chiara , G. Landi , A. Hewgill , B. Reid , A. Ferraro , A. J. Roncaglia , M. Antezza

Contrary to conventional quantum mechanics, which treats measurement as instantaneous, here we explore a model for finite-time measurement. The main two-level system interacts with the measurement apparatus in a Markovian way described by…

We introduce a systematic approximation for an efficient evaluation of Born--Markov master equations for steady state transport studies in open quantum systems out of equilibrium: the energy resolved master equation approach. The master…

量子物理 · 物理学 2020-12-23 Gerhard Dorn , Enrico Arrigoni , Wolfgang von der Linden

We analyze an open quantum system under the influence of more than one environment: a dephasing bath and a probability-absorbing bath that represents a decay channel, as encountered in many models of quantum networks. In our case, dephasing…

介观与纳米尺度物理 · 物理学 2017-07-19 Giulio G. Giusteri , Filippo Recrosi , Gernot Schaller , G. Luca Celardo

A post-Markovian master equation has been recently proposed as a tool to describe the evolution of a system coupled to a memory-keeping environment [A. Shabani and D. A. Lidar, Phys. Rev. A 71, 020101 (R) (2005)]. For a single qubit…

量子物理 · 物理学 2013-09-05 S. Campbell , A. Smirne , L. Mazzola , N. Lo Gullo , B. Vacchini , Th. Busch , M. Paternostro

Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost attention. In the recent past, many efforts have…

量子物理 · 物理学 2020-09-16 Marco Cattaneo , Gian Luca Giorgi , Sabrina Maniscalco , Roberta Zambrini

The dynamics of finite dimension open quantum systems is studied with the help of the simplest possible form of projection operators, namely the ones which project only onto one dimensional subspaces. The simplicity of the action of the…

量子物理 · 物理学 2016-08-17 Vitalii Semin , Francesco Petruccione

If an open quantum system is initially uncorrelated from its environment, then its dynamics can be written in terms of a Lindblad-form master equation. The master equation is divided into a unitary piece, represented by an effective…

量子物理 · 物理学 2022-05-12 Patrick Hayden , Jonathan Sorce

We study the stability of unitary quantum dynamics of composite systems (for example: central system + environment) with respect to weak interaction between the two parts. Unified theoretical formalism is applied to study different physical…

量子物理 · 物理学 2009-11-07 Marko Znidaric , Tomaz Prosen

In this work, we present a multiple-scale perturbation technique suitable for the study of open quantum systems, which is easy to implement and in few iterative steps allows us to find excellent approximate solutions. For any time-local…

量子物理 · 物理学 2019-04-30 D. N. Bernal-García , B. A. Rodríguez , H. Vinck-Posada

This paper describes the dynamics of a quantum two-level system (qubit) under the influence of an environment modeled by an ensemble of random matrices. In distinction to earlier work, we consider here separable couplings and focus on a…

量子物理 · 物理学 2015-06-19 M. Carrera , T. Gorin , T. H. Seligman

We analyze perturbative dynamics of a composite system consisting of a quantum mechanical system and an environment by the renormalization group (RG) method. The solution obtained from the RG method has no secular terms and approximates the…

量子物理 · 物理学 2017-10-18 Shingo Kukita

A method to quantify robust performance for situations where structured parameter variations and initial state errors rather than extraneous disturbances are the main performance limiting factors is presented. The approach is based on the…