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We present an improved many-body T-matrix theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. The resulting mean-field theory is valid in arbitrary dimensions and able to describe the…

Condensed Matter · Physics 2014-10-13 U. Al Khawaja , J. O. Andersen , N. P. Proukakis , H. T. C Stoof

A generalized Bogoliubov model of the Bose gas in the ground state is proposed which properly takes into account both the long-range and short-range spatial boson correlations. It concerns equilibrium characteristics and operates with…

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

We study a gaseous Bose-Einstein condensate with laser-induced dipole-dipole interactions using the Hartree-Fock-Bogoliubov theory within the Popov approximation. The dipolar interactions introduce long-range atom-atom correlations, which…

Soft Condensed Matter · Physics 2009-11-10 I. E. Mazets , D. H. J. O'Dell , G. Kurizki , N. Davidson , W. P. Schleich

We calculate the quantum phase transition for a homogeneous Bose gas in the plane of s-wave scattering length a_s and temperature T. This is done by improving a one-loop result near the interaction-free Bose-Einstein critical temperature…

Condensed Matter · Physics 2015-06-24 Hagen Kleinert , Sebastian Schmidt , Axel Pelster

We investigate quantum reaction-diffusion systems in one-dimension with bosonic particles that coherently hop in a lattice, and when brought in range react dissipatively. Such reactions involve binary annihilation ($A + A \to \emptyset$)…

Statistical Mechanics · Physics 2024-05-20 Shiphrah Rowlands , Igor Lesanovsky , Gabriele Perfetto

Corrections to the zero-temperature Thomas-Fermi description of a dilute interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap arise due to the presence of a boundary layer near the condensate surface. Within the…

Statistical Mechanics · Physics 2009-10-30 Alexander L. Fetter , David L. Feder

We propose a partial fraction decomposition scheme to the construction of hierarchical equations of motion theory for bosonic quantum dissipation systems. The expansion of Bose--Einstein function in this scheme shows similar properties as…

Statistical Mechanics · Physics 2015-05-14 Jian Xu , Rui-Xue Xu , Meng Luo , YiJing Yan

We study a system with competing short- and global-range interactions in the framework of the Bose-Hubbard model. Using a mean-field approximation we obtain the phase diagram of the system and observe four different phases: a superfluid, a…

Quantum Gases · Physics 2016-10-04 N. Dogra , F. Brennecke , S. D. Huber , T. Donner

We study phase diffusion in a Bose-Einstein condensate of light in a dye-filled optical microcavity, i.e., the spreading of the probability distribution for the condensate phase. To observe this phenomenon, we propose an interference…

Quantum Gases · Physics 2017-07-04 A. -W. de Leeuw , E. C. I. van der Wurff , R. A. Duine , H. T. C. Stoof

We present a comprehensive theoretical study of the phase diagram of a system of many Bose particles interacting with a two-body central potential of the so-called Lennard-Jones form. First-principles path-integral computations are carried…

Statistical Mechanics · Physics 2020-12-16 Youssef Kora , Massimo Boninsegni , Dam Thanh Son , Shiwei Zhang

We consider mixtures of Bose gases of different species. We prove that in the mean field limit and under suitable conditions on the initial condition a system composed of two Bose species can be effectively described by a system of coupled…

Mathematical Physics · Physics 2017-09-13 Ioannis Anapolitanos , Michael Hott , Dirk Hundertmark

Theoretical methods for dealing with diffusion-controlled reactions inevitably rely on some kind of approximation and to find the one that works on a particular problem is not always easy. In here the approximation used by Bogolyubov to…

Statistical Mechanics · Physics 2009-11-10 Zoran Konkoli

For homogeneous initial conditions, Hartree (gaussian) dynamical approximations are known to have problems with thermalization, because of insufficient scattering. We attempt to improve on this by writing an arbitrary density matrix as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Salle , J. Smit , J. C. Vink

We consider a generalization of the Dicke model. It describes localized, physically separated, saturable excitations, such as excitons bound on impurities, coupled to a single long-lived mode of an optical cavity. We consider the thermal…

Strongly Correlated Electrons · Physics 2007-05-23 P. R. Eastham , P. B. Littlewood

A new method is proposed for the calculation of full density matrix and thermodynamic functions of a many-boson system. Explicit expressions are obtained in the pair correlations approximation for an arbitrary temperature. The theory is…

Quantum Physics · Physics 2007-05-23 I. O. Vakarchuk

The influence of boundaries and non-point character of interatomic interaction on the dispersion law has been studied for a uniform Bose gas in a one-dimensional vessel. The non-point character of interaction was taken into account using…

Quantum Gases · Physics 2014-04-03 Maksim Tomchenko

Using the linearized version of the time dependent Gross-Pitaevskii equation we calculate the dynamic response of a Bose-Einstein condensed gas to periodic density and particle perturbations. The zero temperature limit of the…

Quantum Gases · Physics 2019-02-20 Sandro Stringari

A modified ideal Bose gas model is proposed as an approach for liquid helium at the lambda point. The decisive modification of the ideal Bose gas model is the use of phase ordered single particle functions. The entropy due to this phase…

Condensed Matter · Physics 2007-05-23 Torsten Fliessbach

We analyze the information content of density profiles for an ultracold Bose gas of atoms and extract resolution limits for observables contained in these images. Our starting point is density correlations that we compute within the…

Quantum Physics · Physics 2008-08-27 Antonio Negretti , Carsten Henkel , Klaus Molmer

We study a harmonically confined Bose-Bose mixture using quantum Monte Carlo methods. Our results for the density profiles are systematically compared with mean-field predictions derived through the Gross-Pitaevskii equation in the same…

Quantum Gases · Physics 2018-09-12 V. Cikojevic , L. Vranjes Markic , J. Boronat
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