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An approximate many-body theory incorporating two-body correlations has been employed to calculate low-lying collective multipole frequencies in a Bose-Einstein condensate containing $A$ bosons, for different values of the interaction…

Quantum Gases · Physics 2009-07-21 Anindya Biswas , Tapan Kumar Das

We investigate the influence of quantum fluctuations upon dipolar Bose gases by means of the Bogoliubov-de Gennes theory. Thereby, we make use of the local density approximation to evaluate the dipolar exchange interaction between the…

Atomic Physics · Physics 2011-10-27 Aristeu R. P. Lima , Axel Pelster

Using \emph{in situ} measurements on a quasi two-dimensional, harmonically trapped $^{87}$Rb gas, we infer various equations of state for the equivalent homogeneous fluid. From the dependence of the total atom number and the central density…

Quantum Gases · Physics 2011-12-02 Tarik Yefsah , Rémi Desbuquois , Lauriane Chomaz , Kenneth J. Günter , Jean Dalibard

Starting from the first principles of nonrelativistic QED we have developed the quantum theory of the interaction of a two-component ultracold atomic ensemble with the electromagnetic field of vacuum and laser photons. The main attention…

Quantum Physics · Physics 2007-05-23 K. V. Krutitsky , K. -P. Marzlin , J. Audretsch

We investigate the propagation of spin waves in two-component mixtures of one-dimensional Bose gases interacting through repulsive contact potentials. By using quantum Monte Carlo methods we calculate static ground-state properties, such as…

Quantum Gases · Physics 2018-07-18 Luca Parisi , G. E. Astrakharchik , Stefano Giorgini

We have studied the phase diagram of a quasi-two-dimensional interacting Bose gas at zero temperature in the presence of random potential created by laser speckles. The superfluid fraction and the fraction of particles with zero momentum…

Quantum Gases · Physics 2014-04-02 G. E. Astrakharchik , K. V. Krutitsky , P. Navez

The dynamics of a phase-separated two-component Bose-Einstein condensate are investigated, in which a bubble of one component moves through the other component. Numerical simulations of the Gross--Pitaevskii equation reveal a variety of…

Quantum Gases · Physics 2015-05-20 Kazuki Sasaki , Naoya Suzuki , Hiroki Saito

Electromagnetic and Lorentz-scalar form factors are calculated for a bound system of two spin-less particles exchanging a zero-mass scalar particle. Different approaches are considered including solutions of a Bethe-Salpeter equation, a…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. Desplanques , L. Theussl

This paper is the third 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 prove…

Probability · Mathematics 2025-05-07 Yu-Ting Chen

We identify a one-dimensional supersolid phase in a binary mixture of near-hardcore bosons with weak, local inter-species repulsion. We find realistic conditions under which such a phase, defined here as the coexistence of…

Other Condensed Matter · Physics 2009-11-13 L. Mathey , Ippei Danshita , Charles W. Clark

The pole of the two-particle T-matrix including the influence of the surrounding medium is analyzed for an interacting Bose gas. The phase diagram of the Bose -Einstein condensation (BEC) depending on the temperature, density, scattering…

Other Condensed Matter · Physics 2016-09-08 K. Morawetz M. Männel , M. Schreiber , P. Lipavský

The virial expansion for cold two-component Fermi and Bose atomic gases is considered in the presence of a waveguide and in the vicinity of a Feshbach resonance. The interaction between atoms and the coupling with the Feshbach molecules is…

Quantum Gases · Physics 2016-07-06 Tom Kristensen , Xavier Leyronas , Ludovic Pricoupenko

A stochastic Gross-Pitaevskii equation is derived for partially condensed Bose gas systems subject to binary contact interactions. The theory we present provides a classical-field theory suitable for describing dissipative dynamics and…

Quantum Gases · Physics 2014-08-28 Ashton S. Bradley , P. Blair Blakie

The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of a mathematical…

Analysis of PDEs · Mathematics 2018-03-28 Enrique Cortés , Miguel Escobedo

We treat baryons as bound states of scalar or axialvector diquarks and a constituent quark which interact through quark exchange. This description results as an approximation to the relativistic Faddeev equation for three quarks which…

Nuclear Theory · Physics 2009-10-31 M. Oettel , S. Ahlig , R. Alkofer , C. Fischer

The paper is concerned with thermostatistics of both $D$-dimensional Bose and Fermi ideal gases in a confining potential of type $Ar^{n}+Br^{-n}$. The investigation is performed in the framework of the semiclassical approximation. Some…

High Energy Physics - Theory · Physics 2009-10-31 Ahmed Jellal , Mohammed Daoud

We give a short proof of Bose Einstein Condensation of dilute Bose gases on length scales much longer than the Gross-Pitaevskii scale.

Mathematical Physics · Physics 2020-11-05 Søren Fournais

A nonequilibrium master equation analysis for N interacting bosons, with Bogoliubov quasiparticles as the reservoir is presented. The analysis is based on a simplified Hamiltonian. The steady state solution yields the equilibrium density…

Statistical Mechanics · Physics 2009-11-11 Marlan O. Scully , Anatoly A. Svidzinsky

We develop a computationally tractable method for calculating correlation functions of the finite temperature trapped Bose gas that includes the effects of s-wave interactions. Our approach uses a classical field method to model the low…

Other Condensed Matter · Physics 2008-09-11 A. Bezett , E. Toth , P. B. Blakie

We present a Hartree-Fock-Bogoliubov (HFB) theoretical treatment of the two-dimensional trapped Bose gas and indicate how semiclassical approximations to this and other formalisms have lead to confusion. We numerically obtain results for…

Statistical Mechanics · Physics 2016-08-31 Christopher Gies , Brandon van Zyl , S. A. Morgan , D. A. W. Hutchinson