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Simulating chemical systems is highly sought after and computationally challenging, as the number of degrees of freedom increases exponentially with the size of the system. Quantum computers have been proposed as a computational means to…

We analyze the evolution of a quantum Brownian particle starting from an initial state that contains correlations between this system and its environment. Using a path integral approach, we obtain a master equation for the reduced density…

Quantum Physics · Physics 2009-10-30 Luciana Dávila Romero , Juan Pablo Paz

This communication is an enquiry into the circumstances under which entropy and subentropy methods can give an answer to the question of quantum entanglement in the composite state. Using a general quantum dynamical system we obtain the…

Quantum Physics · Physics 2007-05-23 A. -S. F. Obada , H. A. Hessian , Mahmoud Abdel-Aty

Consider a joint quantum state of a system and its environment. A measurement on the environment induces a decomposition of the system state. Using algorithmic information theory, we define the preparation information of a pure or mixed…

Quantum Physics · Physics 2015-06-26 Andrei N. Soklakov , Ruediger Schack

Open quantum systems are traditionally described by decomposing the total Hilbert space into a system and an external environment, linked by an explicit interaction Hamiltonian. We propose an alternative framework in which the environment…

Quantum Physics · Physics 2026-04-01 Yu Su , Yao Wang

We study the steady state of two coupled two-level atoms interacting with a non-equilibrium environment that consists of two heat baths at different temperatures. Specifically, we analyze four cases with respect to the configuration about…

Quantum Physics · Physics 2017-11-29 Yong Huangfu , Jun Jing

We study the equivalence between the recently proposed finite environment quantum jump model and a master equation approach. We derive microscopically the master equation for a qubit coupled to a finite bosonic environment and show that the…

Quantum Physics · Physics 2016-12-09 Samu Suomela , Rui Sampaio , Tapio Ala-Nissila

We identify and describe unique early time behavior of a quantum system initially in a superposition, interacting with its environment. This behavior -- the copycat process -- occurs after the system begins to decohere, but before complete…

Quantum Physics · Physics 2024-05-28 Rose Baunach , Andreas Albrecht , Andrew Arrasmith

The problem of the initial conditions for the oscillator model of quantum dissipative systems is studied. It is argued that, even in the classical case, the hypothesis that the environment is in thermal equilibrium implies a statistical…

Quantum Physics · Physics 2018-01-09 Marco Patriarca

We study the role of correlation in mechanisms of energy exchange between an interacting bipartite quantum system and its environment by decomposing the energy of the system to local and correlation-related contributions. When the system…

Quantum Physics · Physics 2022-09-15 T. Pyhäranta , S. Alipour , A. T. Rezakhani , T. Ala-Nissila

The kinetics of the long-range spherical model evolving from various initial states is studied. In particular, the large-time auto-correlation and -response functions are obtained, for classes of long-range correlated initial states, and…

Statistical Mechanics · Physics 2009-11-13 Sreedhar B. Dutta

We investigate the quantum Mpemba effect (QME) in isolated, non-integrable quantum systems, where relaxation dynamics depend on structure of the initial states. By analyzing the distribution of initial states across symmetrical subspaces,…

Quantum Physics · Physics 2025-09-29 Yihan Yu , Tianren Jin , Lv Zhang , Kai Xu , Heng Fan

This paper presents and derives the interrelations between survival analysis and master equation. Survival analysis deals with modeling the transitions between succeeding states of a system in terms of hazard rates. Questions related with…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

A quantum master equation (QME) is derived for the many-body density matrix of an open current-carrying system weakly coupled to two metal leads. The dynamics and the steady-state properties of the system for arbitrary bias are studied…

Statistical Mechanics · Physics 2016-08-31 Upendra Harbola , Massimiliano Esposito , Shaul Mukamel

The work is devoted to the investigation of the influence of a heat bath on the physical processes in a quantum system. We use the density matrix theory as one of the most powerfool tool for investigation of quantum relaxation. In the…

Quantum Physics · Physics 2007-05-23 Dmitri S. Kilin

Modeling open quantum systems -- quantum systems coupled to a bath -- is of value in condensed matter theory, cavity quantum electrodynamics, nanosciences and biophysics. The real-time simulation of open quantum systems was advanced…

Quantum Physics · Physics 2023-07-14 Hanggai Nuomin , David N. Beratan , Peng Zhang

We address the question of how a quantum computer can be used to simulate experiments on quantum systems in thermal equilibrium. We present two approaches for the preparation of the equilibrium state on a quantum computer. For both…

Quantum Physics · Physics 2009-10-31 Barbara M. Terhal , David P. DiVincenzo

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 set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary…

Disordered Systems and Neural Networks · Physics 2019-05-22 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi

The three-state Majorana model in the presence of dissipation is considered. Different models of system-environment interaction are explored, ranging from situation where dissipation is the main effect to regimes where dephasing is mainly…

Quantum Physics · Physics 2019-11-13 Benedetto Militello , Nikolay V. Vitanov
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