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Quantum dissipation is studied for a discrete system that linearly interacts with a reservoir of harmonic oscillators at thermal equilibrium. Initial correlations between system and reservoir are assumed to be absent. The dissipative…

Quantum Physics · Physics 2018-08-14 A. J. van Wonderen , L. G. Suttorp

We derive the Hu-Paz-Zhang master equation for a Brownian particle linearly coupled to a bath of harmonic oscillators on the plane with spatial noncommutativity. The results obtained are exact to all orders in the noncommutative parameter.…

High Energy Physics - Theory · Physics 2009-07-13 Nuno Costa Dias , Joao Nuno Prata

We present the quantum master equation describing the coherent and incoherent dynamics of a rapidly rotating molecule in presence of a thermal background gas. The master equation relates the rate of rotational alignment decay and…

Quantum Physics · Physics 2018-12-19 Benjamin A. Stickler , Farhad T. Ghahramani , Klaus Hornberger

The master equation for the reduced density matrix of a charged particle interacting with a translation invariant weakly coupled environment is considered. The electric current is renormalized by the system-environment interaction, leading…

Quantum Physics · Physics 2023-03-07 Janos Polonyi , Ines Rachid

We extend the results on decoherence in the thermodynamic limit [M. Frasca, Phys. Lett. A {\bf 283}, 271 (2001)] to general Hamiltonians. It is shown that N independent particles, initially properly prepared, have a set of observables…

Quantum Physics · Physics 2011-08-04 Marco Frasca

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

The method of perturbative expansion of master equation is employed to study the dissipative properties of system and of atom in the two-photon Jaynes-Cummings model (JCM) with degenerate atomic levels. The numerical results show that the…

Quantum Physics · Physics 2016-09-08 Y. Q. Guo , L. Zhou , H. S. Song

We derive a markovian master equation for the internal dynamics of an ensemble of two-level atoms including all effects related to the quantization of their motion. Our equation provides a unifying picture of the consequences of recoil and…

Quantum Physics · Physics 2016-03-02 François Damanet , Daniel Braun , John Martin

In this study, we apply the monitoring master equation describing decoherence of internal states to an optically active molecule prepared in a coherent superposition of nondegenerate internal states interacting with thermal photons at low…

Quantum Physics · Physics 2013-11-19 Farhad Taher Ghahramani , Afshin Shafiee

In the recent paper [17] the first experimental determination of the density matrix of a free electron beam has been reported. The employed method leads to a linear inverse problem with a positive semidefinite operator as unknown. The…

Analysis of PDEs · Mathematics 2020-02-19 Cong Shi , Claus Ropers , Thorsten Hohage

Emergent quantum technologies have led to increasing interest in decoherence - the processes that limit the appearance of quantum effects and turn them into classical phenomena. One important cause of decoherence is the interaction of a…

Quantum Physics · Physics 2007-05-23 Lucia Hackermueller , Klaus Hornberger , Bjoern Brezger , Anton Zeilinger , Markus Arndt

The effect of decoherence is analysed for a free particle, interacting with an environment via a dissipative coupling. The interaction between the particle and the environment occurs by a coupling of the position operator of the particle…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Anu Venugopalan

A quantum master equation describing the stochastic dynamics of a quantum massive system interacting with a quantum gravitational field is useful for the investigation of quantum gravitational and quantum informational issues such as the…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Hing-Tong Cho , Bei-Lok Hu

We present a matrix product state (MPS) method for including decoherence processes in calculations involving waveguide quantum electrodynamics (waveguide QED) using density matrices. The approach is based on collision quantum optics, where…

Quantum Physics · Physics 2026-04-21 Matias Bundgaard-Nielsen , Matthew Kozma , Sofia Arranz Regidor , Stephen Hughes

We study the macroscopic superposition of light coherent states of the type Schrodinger cat states; analizying, in particular, the role of the temperature in the decoherence processes, characteristic of the superposition of macroscopic…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 Carlos L. Benavides , Claudia M. Ojeda

A mesoscopic evolution equation for an ensemble of mesoparticles follows after the elimination of internal degrees of freedom. If the system is composed of a hierarchy of scales, the reduction procedure could be worked repeatedly and the…

Quantum Physics · Physics 2008-11-26 J. C. Flores

We study the dynamics of spontaneous generation of coherence and photon spin-qubit entanglement or "flying qubits" in a $\Lambda$ system with non-degenerate lower levels. The cases of entanglement in frequency only and frequency and…

Quantum Physics · Physics 2013-03-19 Daniel Boyanovsky

The mixed states are important in quantum optics since they frequently appear in the decoherence problems. When one of the components of the system is prepared in the mixed state and the evolution operator of this system is not available,…

Quantum Physics · Physics 2011-02-24 Faisal A. A. El-Orany

We re-derive the quantum master equation for the decoherence of a massive Brownian particle due to collisions with the lighter particles from a thermal environment. Our careful treatment avoids the occurrence of squares of Dirac delta…

Quantum Physics · Physics 2009-11-10 Klaus Hornberger , John E. Sipe

We prove a quantum version of the second law of thermodynamics: the (quantum) Boltzmann entropy increases if the initial (zero time) density matrix decoheres, a condition generally satisfied in Nature. It is illustrated by a model of…

Mathematical Physics · Physics 2015-06-17 H. Narnhofer , W. F. Wreszinski