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We derive a new perturbative quantum master equation for the reduced density matrix of a system interacting with an environment (with a dense spectrum of energy levels). The total system energy (system plus environment) is constant and…

Statistical Mechanics · Physics 2007-05-23 Massimiliano Esposito , Pierre Gaspard

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…

Quantum Physics · Physics 2014-02-03 Adrian A. Budini

We critically evaluate the most widespread assumption in the theoretical description of coherent control strategies for open quantum systems. We show that, for non-Markovian open systems dynamics, this fixed-dissipator assumption leads to a…

Quantum Physics · Physics 2016-12-06 Carole Addis , Elsi-Mari Laine , Clemens Gneiting , Sabrina Maniscalco

We study two continuous variable systems (or two harmonic oscillators) and investigate their entanglement evolution under the influence of non-Markovian thermal environments. The continuous variable systems could be two modes of…

Quantum Physics · Physics 2009-11-13 Kuan-Liang Liu , Hsi-Sheng Goan

We investigate the non-Markovian dynamics of an open Ising model simulated by a superconducting circuit. The quantum many-body system is weakly coupled to a white, pink- or blue-colored environment. The relaxation of the system in the…

Quantum Physics · Physics 2019-09-04 Deshui Yu , Rainer Dumke

The dissipative dynamics of a quantum Brownian particle is studied for different types of environment. We derive analytic results for the time evolution of the mean energy of the system for Ohmic, sub-Ohmic and super-Ohmic environments,…

Quantum Physics · Physics 2010-01-28 J. Paavola , J. Piilo , K. -A. Suominen , S. Maniscalco

In recent years, there has been tremendous focus on identifying whether effective descriptions of open quantum systems such as master equations, can accurately describe the dynamics of open quantum systems. One particular question is…

Quantum Physics · Physics 2025-01-23 Gerardo Suárez , Marcin Łobejko , Michał Horodecki

Models for open quantum systems, which play important roles in electron transport problems and quantum computing, must take into account the interaction of the quantum system with the surrounding environment. Although such models can be…

Quantum Physics · Physics 2024-07-17 Ke Wang , Xiantao Li

We propose a novel dynamical method for beating decoherence and dissipation in open quantum systems. We demonstrate the possibility of filtering out the effects of unwanted (not necessarily known) system-environment interactions and show…

Quantum Physics · Physics 2011-08-04 Lorenza Viola , Emanuel Knill , Seth Lloyd

Quantum systems strongly coupled to many-body systems equilibrate to the reduced state of a global thermal state, deviating from the local thermal state of the system as it occurs in the weak-coupling limit. Taking this insight as a…

Quantum Physics · Physics 2018-03-28 M. Perarnau-Llobet , H. Wilming , A. Riera , R. Gallego , J. Eisert

Providing entanglement for the design of quantum technologies in the presence of noise constitutes today's main challenge in quantum information science. A framework is required that assesses the build-up of entanglement in realistic…

Quantum Physics · Physics 2026-01-26 Julien Pinske , Laura Ares , Benjamin Hinrichs , Martin Kolb , Jan Sperling

We examine environmental decoherence of cosmological perturbations in order to study the quantum-to-classical transition and the impact of noise on entanglement during inflation. Given an explicit interaction between the system and…

General Relativity and Quantum Cosmology · Physics 2017-09-12 T. J. Hollowood , J. I. McDonald

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…

Quantum Physics · Physics 2018-06-27 Jan Kolodynski , Jonatan Bohr Brask , Marti Perarnau-Llobet , Bogna Bylicka

We derive a family of Gaussian non-Markovian stochastic Schr\"odinger equations for the dynamics of open quantum systems. The different unravelings correspond to different choices of squeezed coherent states, reflecting different…

Quantum Physics · Physics 2018-04-18 Nina Megier , Walter T. Strunz , Carlos Viviescas , Kimmo Luoma

This MS thesis explores the effects and origins of a 'noise with memory' in the dynamics of an open quantum system. The system considered here is a multi-qubit register performing the Grover's quantum search algorithm. We show that a…

Quantum Physics · Physics 2023-03-27 Sheikh Parvez Mandal

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…

Quantum Physics · Physics 2013-05-30 Wei-Min Zhang , Ping-Yuan Lo , Heng-Na Xiong , Matisse Wei-Yuan Tu , Franco Nori

Most future quantum devices, including quantum computers, require control that is broadband, meaning that the rate of change of the time-dependent Hamiltonian is as fast or faster than the dynamics it generates. In many areas of quantum…

Quantum Physics · Physics 2020-01-31 Gavin McCauley , Benjamin Cruikshank , Siddhartha Santra , Kurt Jacobs

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 Brownian dynamics of the density operator for a quantum system interacting with a classical heat bath is described using a stochastic, non-linear Liouville equation obtained from a variational principle. The environment's degrees of…

Quantum Physics · Physics 2015-06-26 M. Grigorescu

In several cases, open quantum systems can be successfully described using master equations relying on Born-Markov approximations, but going beyond these approaches has become often necessary. In this work, we introduce the NCA and…

Quantum Physics · Physics 2024-01-24 Orazio Scarlatella , Marco Schirò
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