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We address the dynamics induced by collective atomic recoil in a Bose-Einstein condensate in presence of radiation losses and atomic decoherence. In particular, we focus on the linear regime of the lasing mechanism, and analyze the effects…

Quantum Physics · Physics 2009-11-10 Mary M. Cola , Matteo G. A. Paris , Nicola Piovella

We present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field…

Quantum Gases · Physics 2025-07-16 Wilhelm Zwerger

Light with a chemical potential and no mass is shown to possess a general phase-transition curve to Bose-Einstein condensation. This limiting density and temperature range is found by the diverging in-medium potential range of effective…

Quantum Gases · Physics 2019-05-22 K. Morawetz

We consider the Bogoliubov approximation for the many-body quantum dynamics of weakly interacting Bose gases and establish a uniform-in-time validity of the Bogoliubov theory. The proof relies on a detailed analysis of the dispersive…

Mathematical Physics · Physics 2026-02-06 Phan Thành Nam , Simone Rademacher , Avy Soffer

Quantum interference can terminate energy growth in a continually kicked system, via a single-particle ergodicity-breaking mechanism known as dynamical localization. The effect of many-body interactions on dynamically localized states,…

Dynamics of the double-well Bose-Einstein condensate subject to energy dissipation is studied by solving a reduced one-dimensional time-dependent Gross-Pitaevskii equation numerically. We first reproduce the phase space diagram of the…

Quantum Gases · Physics 2013-04-23 Hanlei Zheng , Yajiang Hao , Qiang Gu

What happens when one of the parameters governing the dynamics of a long-range interacting system of particles in thermal equilibrium is abruptly changed (quenched) to a different value? While a short-range system, under the same…

Statistical Mechanics · Physics 2016-11-23 Shamik Gupta , Lapo Casetti

Starting from first principle many-body quantum dynamics, we show that the dynamics of Bose-Einstein condensates can be approximated by the time-dependent nonlinear Gross-Pitaevskii equation, giving a bound on the rate of the convergence.…

Mathematical Physics · Physics 2019-04-16 Niels Benedikter , Gustavo de Oliveira , Benjamin Schlein

The superstable Weakly Imperfect Bose Gas {(WIBG)} was originally derived to solve the inconsistency of the Bogoliubov theory of superfluidity. Its grand-canonical thermodynamics was recently solved but not at {point of} the {(first order)}…

Mathematical Physics · Physics 2009-11-13 J. -B. Bru , V. A. Zagrebnov

We analyze the behavior of the anomalous density as function of the radial distance at different temperatures in a variational framework. We show that the temperature dependence of the anomalous density agrees with the…

Quantum Gases · Physics 2011-10-24 A. Boudjemaa , M. Benarous

The thermodynamics of a homogeneous dilute Bose gas with an arbitrary strong repulsion between particles is investigated on the basis of the exact relation connecting the pair correlation function with the in-medium pair wave functions and…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

We discuss the effects of quantum fluctuations on the properties of vortex lattices in rapidly rotating ultracold atomic gases. We develop a variational method that goes beyond the Bogoliubov theory by including the effects of interactions…

Quantum Gases · Physics 2013-11-22 M. P. Kwasigroch , N. R. Cooper

In this paper we study the effects of Lorentz Symmetry Breaking on thermodynamics properties of ideal gases. Inspired in the dispersion relation came from the Carroll-Field-Jackiw model for Electrodynamics with Lorentz and CPT violation…

High Energy Physics - Theory · Physics 2015-05-28 J. A. de Sales , T. Costa-Soares , V. J. Vasquez Otoya

Reaction-diffusion models are common in many areas of statistical physics, where they describe the late-time dynamics of chemical reactions. Using a Bose gas representation, which maps the real-time dynamics of the reactants to the…

Statistical Mechanics · Physics 2022-02-25 Johannes Hofmann

We prove that the complex Euclidean field theory with local quartic self-interaction in two dimensions arises as a limit of an interacting Bose gas at positive temperature, when the density of the gas becomes large and the range of the…

Mathematical Physics · Physics 2023-01-10 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

We present a detailed Monte Carlo study of correlations in an interacting two-dimensional Bose gas. The data for one-particle density matrix in coordinate representation are compared to the results for the local many-particle density…

Condensed Matter · Physics 2007-05-23 Yu. Kagan , V. A. Kashurnikov , A. V. Krasavin , N. V. Prokof'ev , B. V. Svistunov

We present an action that can be used to study variationally the collapse of Bose Einstein condensates. This action is real, even though it includes dissipative terms. It adopts long range interactions between the atoms, so that there is…

Quantum Gases · Physics 2020-11-11 Stavros Theodorakis , Stavros Athanasiou

We study the canonical problem of a Fermi gas interacting with a weakly repulsive Bose-Einstein condensate at zero temperature. To explore the quantum phases across the full range of boson-fermion interactions, we construct a versatile…

Quantum Gases · Physics 2026-01-21 Sam Foster , Olivier Bleu , Jesper Levinsen , Meera M. Parish

We examine in detail the mechanisms behind thermalization and Bose-Einstein condensation of a gas of photons in a dye-filled microcavity. We derive a microscopic quantum model, based on that of a standard laser, and show how this model can…

Quantum Gases · Physics 2015-03-23 Peter Kirton , Jonathan Keeling

The results of a theoretical investigation on the stopping power of ions moving in a disordered two-dimensional degenerate electron gas are presented. The stopping power for an ion is calculated employing linear response theory using the…

Plasma Physics · Physics 2009-01-16 H. B. Nersisyan , A. K. Das