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Two-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the…

Statistical Mechanics · Physics 2007-05-23 B. Tanatar , A. Minguzzi , P. Vignolo , and M. P. Tosi

We study the properties of a homogeneous dilute Bose-Bose gas in a weak-disorder potential at zero temperature. By using the perturbation theory, we calculate the disorder corrections to the condensate density, the equation of state, the…

Disordered Systems and Neural Networks · Physics 2020-08-26 Abdelaali Boudjemaa , Karima Abbas

We study a superfluid Bose system with single-particle and pair condensates on the basis of a half-phenomenological theory of a Bose liquid not involving the weakness of interparticle interaction. The coupled equations describing the…

Statistical Mechanics · Physics 2013-03-25 A. S. Peletminskii , S. V. Peletminskii , Yu. M. Poluektov

We study the effect of random on-site energies on the critical temperature of a non-interacting Bose gas on a lattice. In our derivation the on-site energies are distributed according a Gaussian probability distribution function having…

Statistical Mechanics · Physics 2015-05-13 Luca Dell'Anna , Stefano Fantoni , Pasquale Sodano , Andrea Trombettoni

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

Statistical Mechanics · Physics 2007-05-23 L. Pricoupenko

We study an ultracold Bose gas in the presence of 1D disorder for repulsive inter-atomic interactions varying from zero to the Thomas-Fermi regime. We show that for weak interactions the Bose gas populates a finite number of localized…

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

Soft Condensed Matter · Physics 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

Bose-Einstein condensation (BEC) of Feshbach molecules in a homogeneous Bose gas is studied at finite temperatures in a single-channel mean-field approach where the Hartree-Fock energy and pairing gap are determined self-consistently. In…

Quantum Gases · Physics 2010-02-21 Zeng-Qiang Yu , Lan Yin

In ultra-relativistic heavy ion collisions, the matter formed shortly after the collision is a dense, out of equilibrium, system of gluons characterized by a semi-hard momentum scale $Q_{\rm s}$. Simple power counting arguments indicate…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jean-Paul Blaizot , Francois Gelis , Jinfeng Liao , Larry McLerran , Raju Venugopalan

The phase transition to a Bose-Einstein condensate is unusual in that it is not necessarily driven by inter-particle interactions but can occur in an ideal gas as a result of a purely statistical saturation of excited states. However,…

Quantum Gases · Physics 2012-03-12 Robert P. Smith , Zoran Hadzibabic

We formulate a conserving gapless mean-field theory for Bose-Einstein condensates on the basis of a Luttinger-Ward thermodynamic functional. It is applied to a weakly interacting uniform gas with density $n$ and s-wave scattering length $a$…

Superconductivity · Physics 2009-11-10 Takafumi Kita

In this paper, we present a theoretical and numerical analysis of the free expansion of a Bose-Einstein condensate, where we assume that the single particle energy spectrum is deformed due to a possible quantum structure of spacetime. Also,…

General Relativity and Quantum Cosmology · Physics 2016-12-22 Elías Castellanos , Celia Escamilla-Rivera

We study the dissipation of the centre of mass oscillation of a harmonically confined condensate in the presence of a disorder potential. An extension of the Generalized Harmonic Theorem allows one to formulate the dynamics from the point…

Quantum Gases · Physics 2014-03-14 Z. Wu , E. Zaremba

Thermodynamic properties of a system of interacting boson particles and antiparticles at finite temperatures are studied within the framework of the thermodynamically consistent Skyrme-like mean-field model. The mean field contains both…

Nuclear Theory · Physics 2021-11-19 D. Anchishkin , V. Gnatovskyy , D. Zhuravel , V. Karpenko

In this paper we discuss the presence of temperature-dependent squeezing in the collective excitations of trapped Bose-Einstein condensates, based on a recent theory of quasiparticle damping. A new scheme to measure temperature below the…

Soft Condensed Matter · Physics 2007-05-23 J. Rogel-Salazar , S. Choi , G. H. C. New , K. Burnett

We study the back reaction effect of massless minimally coupled scalar field at finite temperatures in the background of Einstein universe. Substituting for the vacuum expectation value of the components of the energy-momentum tensor on the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. B. Altaie , M. R. Setare

We study the effect of atomic interaction on the localization and the associated dynamics of Bose-Einstein condensates in a one-dimensional quasiperiodic optical lattice and random Gaussian disordered potentials. When the interactions are…

Quantum Gases · Physics 2024-05-03 Swarup Sarkar , Tapan Mishra , Paulsamy Muruganandam , Pankaj K. Mishra

The behavior of a Bose--Einstein condensate in a homogeneous gravitational field is analyzed. We consider two different trapping potentials. Firstly, the gas is inside a finite container. The effects of the finiteness of the height of the…

Quantum Gases · Physics 2011-03-15 J. I. Rivas Sánchez , A. Camacho

We consider interacting Bose particles in an external potential. It is shown that a Bose-Einstein condensate is possible at finite temperatures that describes a supersolid in three dimensions (3D) for a wide range of potentials in the…

Quantum Gases · Physics 2021-04-16 Moorad Alexanian , Vanik E. Mkrtchian

We investigate the Bose-Einstein Condensation on non homogeneous non amenable networks for the model describing arrays of Josephson junctions on perturbed Cayley Trees. The resulting topological model has also a mathematical interest in…

Mathematical Physics · Physics 2012-04-30 Francesco Fidaleo
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