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Bose-Einstein condensates with balanced gain and loss in a double-well potential have been shown to exhibit PT-symmetric states. As proposed by Kreibich et al [Phys. Rev. A 87, 051601(R) (2013)], in the mean-field limit the dynamical…

Quantum Physics · Physics 2018-06-27 Tina Mathea , Dennis Dast , Daniel Dizdarevic , Holger Cartarius , Jörg Main , Günter Wunner

The out-of-equilibrium quantum dynamics of an interacting Bose gas trapped in a 1D asymmetric double-well potential is studied by solving the many-body Schr\"odinger equation numerically accurately. We examine how the loss of symmetry of…

Quantum Gases · Physics 2019-11-04 Sudip Kumar Haldar , Ofir E. Alon

Two elastically coupled nanomechanical resonators driven independently near their resonance frequencies show intricate nonlinear dynamics. The dynamics provide a scheme for realizing a nanomechanical system with tunable frequency and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 R. B. Karabalin , M. C. Cross , M. L. Roukes

The quantum dynamics of a few bosons in a double well potential is studied using a Bose Hubbard model. We consider both signs for the on-site interparticle interaction and also investigated the situations where they are large and small.…

Quantum Gases · Physics 2016-05-25 Sunayana Dutta , Apurba Barman , Anat Siddharth , Ayan Khan , Saurabh Basu

We use a scheme of separation of degrees of freedom for a system, in order to produce two systems with finite number of degrees of freedom. Our intent is to measure the energy square relative fluctuation (SRF) of the observable part through…

Statistical Mechanics · Physics 2009-11-10 F. Q. Potiguar , U. M. S. Costa

We show that the classical dynamics of independent particles can determine the quantum properties of interacting electrons in the ballistic regime. This connection is established using diagrammatic perturbation theory and semiclassical…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 D. Ullmo , H. U. Baranger , K. Richter , F. von Oppen , R. A. Jalabert

A fast harmonic oscillator is linearly coupled with a system of Ising spins that are in contact with a thermal bath, and evolve under a slow Glauber dynamics at dimensionless temperature $\theta$. The spins have a coupling constant…

Statistical Mechanics · Physics 2012-03-26 L. L. Bonilla , A. Prados , A. Carpio

We analytically study the role of nonconservative forces, namely viscous couplings, on the statistical properties of the energy flux between two Brownian particles kept at different temperatures. From the dynamical model describing the…

Statistical Mechanics · Physics 2016-12-01 Antoine Bérut , Alberto Imparato , Artyom Petrosyan , Sergio Ciliberto

Theoretical approaches to nonequilibrium many-body dynamics generally rest upon an adiabatic assumption, whereby the true dynamics is represented as a sequence of equilibrium states. Going beyond this simple approximation is a notoriously…

Soft Condensed Matter · Physics 2014-10-15 Andrea Fortini , Daniel de las Heras , Joseph M. Brader , Matthias Schmidt

Many biological systems are appropriately viewed as passive inclusions immersed in an active bath: from proteins on active membranes to microscopic swimmers confined by boundaries. The non-equilibrium forces exerted by the active bath on…

Soft Condensed Matter · Physics 2020-07-06 Alpha A. Lee , Dominic Vella , John S. Wettlaufer

Employing the non-perturbative numerical renormalization group method, we study the dynamics of the spin-boson model, which describes a two-level system coupled to a bosonic bath with spectral density J(omega) propto omega^s. We show that,…

Statistical Mechanics · Physics 2007-06-13 Frithjof B. Anders , Ralf Bulla , Matthias Vojta

The Hamiltonian Mean Field model describes a system of N fully-coupled particles showing a second-order phase transition as a function of the energy. The dynamics of the model presents interesting features in a small energy region below the…

Statistical Mechanics · Physics 2008-11-26 Vito Latora , Andrea Rapisarda

This paper is the second in a series devoted to constructing stochastic motions for the two-dimensional $N$-body delta-Bose gas for all integers $N\geq 3$ and establishing the associated Feynman-Kac-type formulas. The main results here…

Probability · Mathematics 2025-05-06 Yu-Ting Chen

When an open quantum system is driven by an external time-dependent force, the coupling of the driving to the central system is usually included whereas the impact of the driving field on the bath is neglected. We investigate the effect of…

Statistical Mechanics · Physics 2016-09-30 Joscha Reichert , Peter Nalbach , Michael Thorwart

We study a simple microscopic model for the one-dimensional stochastic motion of a (non)relativistic Brownian particle, embedded into a heat bath consisting of (non)relativistic particles. The stationary momentum distributions are…

Statistical Mechanics · Physics 2007-05-23 Jörn Dunkel , Peter Hänggi

We study the flow of energy between a harmonic oscillator (HO) and an external environment consisting of N two-degrees of freedom non-linear oscillators, ranging from integrable to chaotic according to a control parameter. The coupling…

Classical Physics · Physics 2011-06-14 Marcelo A. Marchiori , Marcus A. M. de Aguiar

In this article we present an experimental study of the statistical properties for the injected power fluctuations of a dissipative system as a function of external environmental conditions. A Brownian motion analog is implemented using a…

Statistical Mechanics · Physics 2021-09-16 José A. Ogalde , Claudio B. Falcón , Marcos A. Díaz

Finding efficient descriptions of how an environment affects a collection of discrete quantum systems would lead to new insights into many areas of modern physics. Markovian, or time-local, methods work well for individual systems, but for…

Quantum Physics · Physics 2016-07-22 P. R. Eastham , P. Kirton , H. M. Cammack , B. W. Lovett , J. Keeling

A Bose-Einstein condensate in a tilted double-well potential under the influence of time-periodic potential differences is investigated in the regime where the mean-field (Gross-Pitaevskii) dynamics become chaotic. For some parameters near…

Other Condensed Matter · Physics 2008-12-18 Christoph Weiss , Niklas Teichmann

We investigate a two-dimensional nonlinear oscillator with a position-dependent effective mass in the framework of nonrelativistic quantum mechanics. Using the Nikiforov-Uvarov method, we obtain exact analytical expressions for the energy…

Quantum Physics · Physics 2025-09-24 S. E. Bokpe , F. A. Dossa , G. Y. H. Avossevou
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