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Different structures of master-equation used for the description of decoherence of a microsystem interacting through collisions with a surrounding environment are considered and compared. These results are connected to the general…

Quantum Physics · Physics 2007-05-23 Bassano Vacchini

In the framework of theory of open quantum systems, we derive quantum master equations for the ultrastrong system-bath coupling regime and, more generally, the strong-decoherence regime. In this regime, the strong decoherence is…

Quantum Physics · Physics 2021-09-07 Anton Trushechkin

The accurate characterisation of energy exchanges between nanoscale quantum systems and their environments is of paramount importance for quantum technologies, and central to quantum thermodynamics. Here, we show that, in order to…

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…

Mesoscale and Nanoscale Physics · Physics 2015-10-16 Justin E. Elenewski , Yanxiang Zhao , Hanning Chen

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.…

Quantum Physics · Physics 2015-05-20 Jurjen F. Koksma , Tomislav Prokopec , Michael G. Schmidt

The propagation of a fast particle in a low-density gas at thermal equilibrium is studied in the context of quantum mechanics. A quantum master equation in the Redfield form governing the reduced density matrix of the particle is derived…

Quantum Physics · Physics 2022-12-20 David Gaspard

We derive a quantum master equation in the context of a polymerized open quantum mechanical system for the scattering of a Brownian particle in an ideal gas environment. The model is formulated in a top-down approach by choosing a…

General Relativity and Quantum Cosmology · Physics 2023-02-17 Kristina Giesel , Michael Kobler

We propose an approach to the study of open quantum systems based on a parametric representation of the principal system. The representation is obtained introducing generalized coherent states for the environment, and is such that the…

Quantum Physics · Physics 2013-12-12 Dario Calvani , Alessandro Cuccoli , Nikitas Gidopoulos , Paola Verrucchi

This thesis presents studies performed on open quantum systems, that is, quantum systems interacting with their surrounding environment. Such systems are important not only in understanding the quantum-to-classical transition but also for…

Quantum Physics · Physics 2024-02-20 Ali Raza Mirza

The quantum master equation is introduced for the density matrix representing Bogoliubov-BCS quasiparticles. A constraint to relate the loss and gain factors is taken into account to preserve the form of the density matrix. Such an equation…

Superconductivity · Physics 2014-04-07 Chun-Feng Huang , Keh-Ning Huang

Using non-relativistic many body quantum field theory, a master equation is derived for the reduced density matrix of a dilute gas of massive particles undergoing scattering interactions with an environment of light particles. The dynamical…

Quantum Physics · Physics 2009-11-10 P. J. Dodd , J. J. Halliwell

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…

Quantum Physics · Physics 2018-12-07 Shakib Daryanoosh , Ben Q. Baragiola , Thomas Guff , Alexei Gilchrist

We examine the dependence of decoherence on the spectral density of the environment as well as on the initial state of the system. We use two simple examples to illustrate some important effects. The simplest derivation of the general form…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Juan Pablo Paz

We consider the problem of the measurement of a system occurring during a finite time interval, while environmentally-induced noise decreases the system-state coherence. We assume a Markovian measuring device and, therefore, use a…

Quantum Physics · Physics 2013-10-25 Carlos Alexandre Brasil , Reginaldo de Jesus Napolitano

We consider an open quantum many-particle system in which there are dissipative processes. The evolution of this system is described by a kinetic equation for the density matrix. From the equation describing a random Markov process in this…

General Physics · Physics 2013-02-25 Boris Bondarev

We address the microscopic derivation of a quantum master equation in Lindblad form for the dynamics of a massive test particle with internal degrees of freedom interacting through collisions with a background ideal gas. When either…

Quantum Physics · Physics 2010-10-27 Andrea Smirne , Bassano Vacchini

Positivity preservation is naturally guaranteed in exact non-Markovian master equations for open quantum system dynamics. However, in many approximated non-Markovian master equations, the positivity of the reduced density matrix is not…

Quantum Physics · Physics 2024-02-08 Wufu Shi , Yusui Chen , Quanzhen Ding , Jin Wang , Ting Yu

Despite significant theoretical efforts devoted to studying the interaction between quantized light modes and matter, the so-called ultra-strong coupling regime still presents significant challenges for theoretical treatments and prevents…

Quantum Physics · Physics 2024-03-22 Maksim Lednev , Francisco J. García-Vidal , Johannes Feist

The time-convolutionless quantum master equation is an exact description of the nonequilibrium dynamics of open quantum systems, with the advantage of being local in time. We derive a perturbative expansion to arbitrary order in the…

Mesoscale and Nanoscale Physics · Physics 2019-03-14 Konstantin Nestmann , Carsten Timm

When the coupling of a quantum system to its environment is non-negligible, its steady state is known to deviate from the textbook Gibbs state. The Bloch-Redfield quantum master equation, one of the most widely adopted equations to solve…

Quantum Physics · Physics 2025-03-27 Prem Kumar , K. P. Athulya , Sibasish Ghosh