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The nonlinear dynamics of dissipative quantum systems in incoherent laser fields is studied in the framework of master equation with random model describing the laser noise and Markovian approximation for dealing with the system-bath…

光学 · 物理学 2007-05-23 O. El Akramine , A. Makhoute , M. Zitane , M. Tij

The totally asymmetric simple exclusion process (TASEP) is a stochastic model for the unidirectional dynamics of interacting particles on a $1$D-lattice that is much used in systems biology and statistical physics. Its master equation…

统计力学 · 物理学 2024-08-01 Kilian Pioch , Thomas Kriecherbauer , Michael Margaliot , Lars Grüne

We numerically performed wave dynamical simulations based on the Maxwell-Bloch (MB) model for a quadrupole-deformed microcavity laser with spatially selective pumping. We demonstrate the appearance of an asymmetric lasing mode whose spatial…

光学 · 物理学 2017-11-23 Yuta Kawashima , Susumu Shinohara , Satoshi Sunada , Takahisa Harayama

The output spectrum of both gas and semiconductor lasers usually contains more than one frequency. Multimode operation in gas versus semiconductor lasers arises from different physics. In gas lasers, slow equilibration of the electron…

光学 · 物理学 2007-05-23 Philip F. Bagwell

The Higgs amplitude mode of the order parameter of an ultracold confined Fermi gas in the BCS regime after a quench of the coupling constant is analyzed theoretically. Characteristic features are a damped oscillation which at a certain…

量子气体 · 物理学 2014-12-09 S. Hannibal , P. Kettmann , M. D. Croitoru , A. V. Vagov , V. M. Axt , T. Kuhn

We derive and test a generalization of Steady-State Ab Initio Laser Theory (SALT) to treat complex gain media. The generalized theory (C-SALT) is able to treat atomic and molecular gain media with diffusion and multiple lasing transitions,…

光学 · 物理学 2015-06-22 Alexander Cerjan , Y. D. Chong , A. Douglas Stone

In an Oberbeck-Boussinesq model, rigorously derived, which includes compressibility, one could expect that the onset of convection for the B\'enard problem occurs at a higher critical Rayleigh number. Since of the difficulties related to…

偏微分方程分析 · 数学 2024-08-13 Diego Grandi , Arianna Passerini , Manuela Trullo

Master equations are typically adopted to describe the dynamics of open quantum systems. Such equations are either in integro-differential or in time-local form, with the latter class more frequently adopted due to the simpler numerical…

量子物理 · 物理学 2019-04-03 Giulio Amato , Heinz-Peter Breuer , Bassano Vacchini

We investigate the dynamics of a delay differential coupled Duffing-Van der Pol oscillator equation. Using the Lindstedt's method, we derive the in-phase mode solutions and then obtain the slow flow equations governing the stability of the…

混沌动力学 · 物理学 2019-09-24 Ankan Pandey , Mainak Mitra , A Ghose-Choudhury , Partha Guha

We develop a formalism to analyze the behaviour of pulse--coupled identical phase oscillators with a specific attention devoted to the onset of partial synchronization. The method, which allows describing the dynamics both at the…

无序系统与神经网络 · 物理学 2007-05-23 P. K. Mohanty , Antonio Politi

A master equation approach is applied to a reversible and conservative cellular automata model (Q2R). The Q2R model is a dynamical variation of the Ising model for ferromagnetism that possesses quite a rich and complex dynamics. The…

元胞自动机与格子气 · 物理学 2017-01-04 Felipe Urbina , Sergio Rica

Recent numerical and theoretical studies have demonstrated that the modes at threshold of a random laser are in direct correspondence with the resonances of the same system without gain, a feature which is well known in a conventional laser…

光学 · 物理学 2011-11-24 Jonathan Andreasen , Patrick Sebbah , Christian Vanneste

We study the effect of noise on the dynamics of passively mode-locked semiconductor lasers both experimentally and theoretically. A method combining analytical and numerical approaches for estimation of pulse timing jitter is proposed. We…

光学 · 物理学 2016-10-25 A. Pimenov , T. Habruseva , D. Rachinskii , S. P. Hegarty , G. Huyet , A. G. Vladimirov

This is a work in two parts in which we show how to solve a large class of Lindblad master equations for non-interacting particles on $L$ sites. In part I we concentrate on bosonic particles. We show how to reduce the problem to…

量子物理 · 物理学 2017-05-17 Chu Guo , Dario Poletti

We formulate a general method for the study of semiclassical-like dynamics in stable regions of a mixed phase-space, in order to theoretically study the dynamics of quantum accelerator modes. In the simplest case, this involves determining…

原子物理 · 物理学 2007-05-23 R. Bach , K. Burnett , M. B. d'Arcy , S. A. Gardiner

We stabilize a chosen radiofrequency beat note between two optical fields derived from the same mode-locked laser pulse train, in order to coherently manipulate quantum information. This scheme does not require access or active…

We show that it is possible to realize simultaneous Raman lasing at two different frequencies using a double-$\Lambda$ system pumped by a bi-frequency field. The Raman lasers are phase-locked to one another, and the beat-frequency matches…

量子物理 · 物理学 2018-05-30 Hadiseh Alaeian , Selim Shahriar

The quantum master equation is introduced for the density matrix representing Bogoliubov-BCS quasiparticles. A constraint to relate the loss and gain factors is taken into account to preserve the form of the density matrix. Such an equation…

超导电性 · 物理学 2014-04-07 Chun-Feng Huang , Keh-Ning Huang

We develop the quantum theory of an open-cavity laser assuming that only two modes compete for gain. We show that the modes interact to build up a collective mode that becomes the lasing mode when pumping exceeds a threshold. This…

量子物理 · 物理学 2011-08-26 V. Eremeev , S. E. Skipetrov , M. Orszag

We put forth a new class of quantum master equations that correctly reproduce the asymptotic state of an open quantum system beyond the infinitesimally weak system-bath coupling limit. Our method is based on incorporating the knowledge of…

量子物理 · 物理学 2022-11-10 Tobias Becker , Alexander Schnell , Juzar Thingna