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A pair of coupled quantum dissipative oscillators, serving as a model for a nanosystem, is here described by the Lindblad equation. Its dynamic evolution is shown to exhibit the features of decoherence (spatial extent of quantum behavior),…

Quantum Physics · Physics 2009-11-06 A. K. Rajagopal , R. W. Rendell

Quantum gases of atoms and molecules in optical cavities offer a formidable laboratory for studying the out-of-equilibrium dynamics of open quantum systems with long-range interactions. Long-range interactions are here mediated by multiple…

Quantum Physics · Physics 2026-03-19 Tom Schmit , Catalin-Mihai Halati , Tobias Donner , Giovanna Morigi , Simon B. Jäger

A single quantum dissipative oscillator described by the Lindblad equation serves as a model for a nanosystem. This model is solved exactly by using the ambiguity function. The solution shows the features of decoherence (spatial extent of…

Quantum Physics · Physics 2009-11-06 R. W. Rendell , A. K. Rajagopal

An analysis of the random lattice gas in the annealed limit is presented. The statistical mechanics of disordered lattice systems is briefly reviewed. For the case of the lattice gas with an arbitrary uniform interaction potential and…

Statistical Mechanics · Physics 2011-11-09 A. P. Vieira , L. L. Goncalves

We study relaxation times, also called mixing times, of quantum many-body systems described by a Lindblad master equation. We in particular study the scaling of the spectral gap with the system length, the so-called dynamical exponent,…

Statistical Mechanics · Physics 2015-10-30 Marko Znidaric

A statistical analysis of the laser excitation of cold and randomly distributed atoms to Rydberg states is developed. We first demonstrate with a hard ball model that the distribution of energy level shifts in an interacting gas obeys…

Atomic Physics · Physics 2018-02-01 Thibault Vogt , Jingshan Han , Alexandre Thiery , Wenhui Li

A three level ladder system is analyzed and the coherence of initially electric-dipole forbidden transition is calculated. Due to the presence of two laser fields the initially dipole forbidden transition becomes dynamically permitted due…

Optics · Physics 2014-02-13 Gennady A. Koganov , Reuben Shuker

Pair collisions in atomic gases lead to decoherence and decay. Assuming that all the atoms in the gas are equally likely to collide one is led to consider Lindbladian of mean field type where the evolution in the limit of many atoms reduces…

Quantum Physics · Physics 2018-05-11 A. Tsabary , O. Kenneth , J. E. Avron

The Lindblad form of the master equation has proven to be one of the most convenient ways to describe the impact of an environment interacting with a quantum system of interest. For single systems the jump operators characterizing these…

Quantum Physics · Physics 2021-12-02 Ralf Betzholz , Bruno G. Taketani , Juan Mauricio Torres

We study the time evolution of single-particle quantum states described by a Lindblad master equation with local terms. By means of a geometric resolvent equation derived for Lindblad generators, we establish a finite-volume-type criterion…

Mathematical Physics · Physics 2024-02-27 Frederik Ravn Klausen , Simone Warzel

A periodic perturbation such as a laser field cannot induce transitions between two decoupled states for which the transition matrix element vanishes. We show, however, that if in addition some system parameters are varied adiabatically,…

Quantum Physics · Physics 2008-09-18 Xingxiang Zhou , Ari Mizel

We demonstrate that combining the positivity of density matrices with steady-state conditions yields a systematic bootstrap method for studying open quantum many-body systems governed by Lindblad master equations on infinite lattices, which…

Quantum Physics · Physics 2026-04-23 Minjae Cho , Colin Oscar Nancarrow , Petar Tadić , Yuan Xin

The measurement-induced phase transition (MIPT) occurs when the system is evolving under unitary evolution together with local measurements followed by post-selection. We propose a generalized version of the Lindblad master equation as a…

Quantum Physics · Physics 2023-01-03 Yi-Neng Zhou

We study an ideal-gas-like model where the particles exchange energy stochastically, through energy conserving scattering processes, which take place if and only if at least one of the two particles has energy below a certain energy…

Statistical Mechanics · Physics 2015-05-27 Asim Ghosh , Urna Basu , Anirban Chakraborti , Bikas K. Chakrabarti

The density matrix in the Lindblad form is used to describe the behavior of the Free-Electron Laser (FEL) operating in a quantum regime. The detrimental effects of the spontaneous emission on coherent FEL operation are taken into account.…

Accelerator Physics · Physics 2018-12-26 H. Fares , G. R. M. Robb , N. Piovella

We employ the Lindblad master equation method to study the nonequilibrium dynamics following a parametric quench in the Hamiltonian of an open, two-dimensional superconducting system coupled to an external bath. Within our approach we show…

Strongly Correlated Electrons · Physics 2023-12-19 Andrea Nava , Carmine Antonio Perroni , Reinhold Egger , Luca Lepori , Domenico Giuliano

We present a theoretical study on the system of laser-driven strongly interacting Rydberg atoms trapped in a two-dimensional triangular lattice, in which the dipole-dipole interactions between Rydberg states result in exotic quantum phases.…

Quantum Gases · Physics 2015-06-16 Jing Qian , Lu Zhou , Weiping Zhang

We study the constraints imposed on the population and phase relaxation rates by the physical requirement of completely positive evolution for open N-level systems. The Lindblad operators that govern the evolution of the system are…

Quantum Physics · Physics 2009-11-10 Sonia G Schirmer , Allan I Solomon

As a key index for applications of a device, the device's reliability is its ability to survive (function normally over time) under the influence of some environment. In this paper we present a quantum energy-storing device model with a…

Quantum Physics · Physics 2026-03-13 Bowen Sun , D. L. Zhou

In this article, I study the diffusive behavior for a quantum test particle interacting with a dilute background gas. The model I begin with is a reduced picture for the test particle dynamics given by a quantum linear Boltzmann equation in…

Mathematical Physics · Physics 2017-08-23 Jeremy Clark