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We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

Condensed Matter · Physics 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

We calculate analytically the quantum and thermal fluctuations corrections of a dilute quasi-two-dimensional Bose-condensed dipolar gas. We show that these fluctuations may change their character from repulsion to attraction in the…

Quantum Gases · Physics 2019-09-18 Abdelaali Boudjemaa

We construct a variational wave function for the ground state of weakly interacting bosons that gives a lower energy than the mean-field Girardeau-Arnowitt (or Hartree-Fock-Bogoliubov) theory. This improvement is brought about by…

Quantum Gases · Physics 2017-03-16 Takafumi Kita

We present a systematic study of dilute three-dimensional dipolar Bose gas employing a finite temperature perturbation theory (beyond the mean field). We analyze in particular the behavior of the anomalous density, we find that this…

Quantum Gases · Physics 2015-01-15 Abdelaali Boudjemaa

We present finite temperature analysis of a quasi2D dipolar gas. To do this, we use the Hartree Fock Bogoliubov method within the Popov approximation. This formalism is a set of non-local equations containing the dipole-dipole interaction…

Atomic Physics · Physics 2012-05-11 Christopher Ticknor

We theoretically investigate the equation of state and Tan's contact of a non-degenerate three dimensional Bose gas near a broad Feshbach resonance, within the framework of large-$N$ expansion. Our results agree with the path-integral Monte…

Quantum Gases · Physics 2015-05-20 Xia-Ji Liu , Brendan Mulkerin , Lianyi He , Hui Hu

In two spatial dimensions, vortex-vortex interactions approximately vary with the logarithm of the inter-vortex distance, making it possible to describe an ensemble of vortices as a Coulomb gas. We introduce a duality between vortices in a…

Quantum Gases · Physics 2025-02-28 Seong-Ho Shinn , Adolfo del Campo

We examine the nature of the collective excitations in a strongly anisotropic system of bosons interacting via Coulomb interaction. Such a system has often been used in the past to model the effects of quantum and classical phase…

Superconductivity · Physics 2007-05-23 Matthew J. Case , Igor F. Herbut

We systematically investigate the properties of three-dimensional dipolar binary Bose mixture at low temperatures. A set of coupled self-consistent equations of motion are derived for the two condensates. In the homogeneous case, useful…

Quantum Gases · Physics 2018-10-01 Abdelaali Boudjemaa

We derive the explicit three body contact potential for a dilute condensed Bose gas from microscopic theory. The three body coupling constant exhibits the general form predicted by T.T. Wu [Phys. Rev. 113, 1390 (1959)] and is determined in…

Condensed Matter · Physics 2007-05-23 Thorsten Koehler

We perform a theoretical study into how dipole-dipole interactions modify the properties of superfluid vortices within the context of a two-dimensional atomic Bose gas of co-oriented dipoles. The reduced density at a vortex acts like a…

Quantum Gases · Physics 2014-11-19 B. C. Mulkerin , R. M. W. van Bijnen , D. H. J. O'Dell , A. M. Martin , N. G. Parker

We analyzed the Hartree-Fock approximation for an electron system. The interaction between particles is modeled by a non-Coulombian potential. We analyzed both the three-dimensional and two-dimensional systems. We obtained accurate…

Quantum Gases · Physics 2024-08-28 Vlad-Mihai Ene , Ilinca Lianu , Ioan Grosu

We investigate a system of $N$ spinless bosons confined in quasi-two-dimensional harmonic trap with repulsive two-body finite-range Gaussian interaction potential of large $s$-wave scattering length. Exact diagonalization of the Hamiltonian…

Quantum Gases · Physics 2016-01-05 Mohd. Imran , M. A. H. Ahsan

We look into dark solitons in a quasi-1D dipolar Bose gas and in a quantum droplet. We derive the analytical solitonic solution of a Gross-Pitaevskii-like equation accounting for beyond mean-field effects. The results show there is a…

Quantum Gases · Physics 2023-02-07 Jakub Kopyciński , Maciej Łebek , Wojciech Górecki , Krzysztof Pawłowski

A dynamical many-body theory is presented which systematically extends beyond mean-field and perturbative quantum-field theoretical procedures. It allows us to study the dynamics of strongly interacting quantum-degenerate atomic gases. The…

Other Condensed Matter · Physics 2010-02-04 Thomas Gasenzer , Juergen Berges , Michael G. Schmidt , Marcos Seco

We propose and demonstrate the appearance of an effective attractive three-body interaction in coherently-driven two-component Bose Einstein condensates. It originates from the spinor degree of freedom that is affected by a two-body…

Quantum Gases · Physics 2022-03-14 A. Hammond , L. Lavoine , Thomas Bourdel

Through an effective quantum field theory within Bogoliubov's framework and taking into account nonuniversal effects of the interatomic potential we analytically derive the leading Gaussian zero- and finite-temperature corrections to the…

Quantum Gases · Physics 2025-03-05 Emerson Chiquillo

The two-component mixture of Bose particles with short-range pairwise interaction at finite temperatures in three dimensions is considered. Particularly we examine, by means of the large-$N$ expansion technique, the stability of mixed state…

Quantum Gases · Physics 2020-12-02 Orest Hryhorchak , Volodymyr Pastukhov

We study the formation of a quasi-condensate in a nearly one dimensional, weakly interacting trapped atomic Bose gas. We show that a Hartree Fock (mean-field) approach fails to explain the presence of the quasi-condensate in the center of…

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject and…

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