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We show that a dissipative current component is present in the dynamics generated by a Liouville-master equation, in addition to the usual component associated with Hamiltonian evolution. The dissipative component originates from coarse…

Materials Science · Physics 2009-11-10 Ralph Gebauer , Roberto Car

The mechanism of decoherence for a quantum system with rotational degrees of freedom is studied. From a simple model of elastic scattering, we show that the non-diagonal density matrix elements of the system exponentially decay. The decay…

Quantum Physics · Physics 2016-11-18 Changchun Zhong , F. Robicheaux

We investigate the time evolution of a superposition of macroscopically distinct quantum states in a system of two-level atoms interacting with a thermal environment of photon modes. We show that the atomic coherent states are robust…

Quantum Physics · Physics 2015-06-26 Peter Foldi , Attila Czirjak , Mihaly G. Benedict

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 derive a quantum master equation which describes the dynamics of the ensemble-averaged state of homogeneous disorder models at short times, and mediates a transition from coherent superpositions into classical mixtures. While each single…

Quantum Physics · Physics 2016-04-07 Clemens Gneiting , Felix R. Anger , Andreas Buchleitner

A dynamical decoupling method is presented which is based on embedding a deterministic decoupling scheme into a stochastic one. This way it is possible to combine the advantages of both methods and to increase the suppression of undesired…

Quantum Physics · Physics 2007-05-23 Oliver Kern , Gernot Alber

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…

Quantum Physics · Physics 2015-06-19 M. Carrera , T. Gorin , T. H. Seligman

We analyze a system of two qubits embedded in two different environments. The qubits are coupled to each other and driven on-resonance by two external classical sources. In the secular limit, we obtain exact analytical results for the…

Quantum Physics · Physics 2010-03-01 J. Li , G. S. Paraoanu

A perturbative treatment of reduced density operators of quantum subsystems is implemented in the same spirit as Fermi Golden Rule for scattering. Analytic expressions for linear entropy (a measure of purity loss, and in some cases of…

Quantum Physics · Physics 2007-05-23 M. O. Terra Cunha , S. Geraij Mokarzel , J. G. Peixoto de Faria , M. C. Nemes

The dynamics of open quantum systems is formulated in a minimally extended state space comprising the degrees of freedom of a system of interest and a finite set of non-unitary, pure-state reservoir modes. This formal structure, derived…

Quantum Physics · Physics 2023-08-01 Meng Xu , Vasilii Vadimov , Malte Krug , J. T. Stockburger , J. Ankerhold

Levitating charged particles in ultra-high vacuum provides a preeminent platform for quantum information processing, for quantum-enhanced force and torque sensing, for probing physics beyond the standard model, and for high-mass tests of…

Quantum Physics · Physics 2022-08-26 Lukas Martinetz , Klaus Hornberger , Benjamin A. Stickler

We derive evolution equations for the first and second moments of an initially mismatched, coupled, and displaced arbitrary Gaussian phase-space distribution under the influence of decoherence due to amplitude-dependent tune shift.…

Accelerator Physics · Physics 2022-05-24 E. Waagaard , V. Ziemann

The evolution of a system coupled to baths is commonly described by a master equation that, in the long-time limit, yields a steady-state density matrix. However, when the same evolution is unraveled into quantum trajectories, it is…

Quantum Physics · Physics 2025-12-16 Bo Xing , Giuliano Chiriacò , Paola Cappellaro , Rosario Fazio , Dario Poletti

We present a unitary framework for dissipative quantum dynamics that can be efficiently applied to large-scale Fermi systems. The method introduces local Hermitian operators that emulate frictional forces while strictly preserving the…

Nuclear Theory · Physics 2025-12-16 J. E. Alba-Arroyo , Daniel Pęcak , Michael McNeil Forbes , Gabriel Wlazłowski

The time evolution of low energy spin states of a single molecular magnet in a local electric field is investigated. The decoherence of the driven single molecular magnet weakly coupled to a thermal bosonic environment is analyzed by the…

Quantum Physics · Physics 2012-08-09 Xiang Hao , Chen Liu , Shiqun Zhu

We examine an infinite, linear system of ordinary differential equations that models the evolution of fragmenting clusters, where each cluster is assumed to be composed of identical units. In contrast to previous investigations into such…

Functional Analysis · Mathematics 2024-06-17 Lyndsay Kerr , Wilson Lamb , Matthias Langer

The dynamical evolution of an open quantum system can be governed by the Lindblad equation of the density matrix. In this paper, we propose to characterize the density matrix topology by the topological invariant of its modular Hamiltonian.…

Mesoscale and Nanoscale Physics · Physics 2024-06-27 Liang Mao , Fan Yang , Hui Zhai

We present an efficient, nearly optimal quantum algorithm for solving linear matrix differential equations, with applications to the simulation of open quantum systems and beyond. For unitary or dissipative dynamics, the algorithm computes…

Quantum Physics · Physics 2026-05-18 Sophia Simon , Dominic W. Berry , Rolando D. Somma

The coupled-channels density-matrix technique for nuclear reaction dynamics, which is based on the Liouville-von Neumann equation with Lindblad dissipative terms, is developed with the inclusion of full angular momentum couplings. It allows…

Nuclear Theory · Physics 2010-12-23 Alexis Diaz-Torres

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