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A hard-sphere (HS) Bose gas in a trap is investigated at finite temperatures in the weakly-interacting regime and its thermodynamic properties are evaluated using the static fluctuation approximation (SFA). The energies are calculated with…

Quantum Gases · Physics 2015-05-20 Saleem I. Qashou , Mohamed K. Al-Sugheir , Asaad R. Sakhel , Humam B. Ghassib

Some thermodynamic properties of weakly interacting Bose systems are derived from dimensional and heuristic arguments and thermodynamic relations, without resorting to statistical mechanics.

Statistical Mechanics · Physics 2009-11-11 Thomas Nattermann

We study the ground states of rotating atomic Bose-Einstein condensates with dipolar interactions. We present the results of numerical studies on a periodic geometry which show vortex lattice ground states of various symmetries: triangular…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 S. Komineas , N. R. Cooper

We investigate the harmonically trapped interacting Bose gas in a quasi-2D geometry using the classical field method. The system exhibits quasi-long-range order and non-classical rotational inertia at temperatures below the…

Other Condensed Matter · Physics 2008-07-10 T. P. Simula , M. J. Davis , P. B. Blakie

We investigate the finite temperature properties of the one-dimensional two-component Bose gas (2CBG) with repulsive contact interaction in a harmonic trap. Making use of a new lattice embedding for the 2CBG and the quantum transfer matrix…

Quantum Gases · Physics 2015-11-03 Ovidiu I. Patu , Andreas Klumper

zeta-function methods are used to study the properties of the non-relativistic interacting Bose gas at finite temperature and density. Results for the ground state energy and pressure are obtained at both zero and finite temperature. The…

High Energy Physics - Theory · Physics 2009-11-07 David J. Toms

We compute the structure of a quantized vortex line in a harmonically trapped dilute atomic Bose-Einstein condensate using the Popov version of the Hartree-Fock-Bogoliubov mean-field theory. The vortex is shown to be (meta)stable in a…

Soft Condensed Matter · Physics 2009-11-07 S. M. M. Virtanen , T. P. Simula , M. M. Salomaa

We consider a finite-temperature Bose-Einstein condensate in a quasi-two-dimensional trap containing a single precessing vortex. We find that such a configuration arises naturally as an ergodic equilibrium of the projected Gross-Pitaevskii…

Quantum Gases · Physics 2009-11-29 T. M. Wright , A. S. Bradley , R. J. Ballagh

We study interacting Bose gases in thermal equilibrium on a lattice. We establish convergence of the grand canonical Gibbs states of such gases to their mean-field (classical field) and large-mass (classical particle) limits. The former is…

Mathematical Physics · Physics 2026-04-30 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

We discuss the ground state properties of a one-dimensional bosonic system doped with an impurity (the so-called Bose polaron problem). We introduce a formalism that allows us to calculate analytically the thermodynamic zero-temperature…

Quantum Gases · Physics 2018-01-23 A. G. Volosniev , H. -W. Hammer

We derive the equation of state of a Bose gas with contact interactions using relativistic quantum field theory. The calculation accounts for both thermal and quantum corrections up to 1-loop order. We work in the Hartree-Fock-Bogoliubov…

High Energy Physics - Theory · Physics 2022-09-14 Anushrut Sharma , Guram Kartvelishvili , Justin Khoury

We study the dynamics of a single and a pair of vortices in quasi two-dimensional Bose-Einstein condensates at finite temperatures. We use the stochastic Gross-Pitaevskii equation, which is the Langevin equation for the Bose-Einstein…

Quantum Gases · Physics 2014-02-04 S. Gautam , Arko Roy , Subroto Mukerjee

We evaluate the relaxation rate of high-energy quasiparticles in a weakly interacting one-dimensional Bose gas. Unlike in higher dimensions, the rate is a nonmonotonic function of temperature, with a maximum at the crossover to the state of…

Quantum Gases · Physics 2010-08-27 Shina Tan , Michael Pustilnik , Leonid I. Glazman

We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,\mu)$,…

Superconductivity · Physics 2007-05-23 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

We consider a two-dimensional weakly interacting ultracold Bose gas whose constituents are two-level atoms. We study the effects of a synthetic density-dependent gauge field that arises from laser-matter coupling in the adiabatic limit with…

Quantum Gases · Physics 2016-01-20 Salvatore Butera , Manuel Valiente , Patrik Öhberg

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 vortex solutions for the homogeneous two-dimensional Bose-Einstein condensate featuring dipolar atomic interactions, mapped out as a function of the dipolar interaction strength (relative to the contact interactions) and…

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

The variational theory of equilibrium boson system state to have been previously developed by the author under the density matrix formalism is applicable for researching equilibrium states and thermodynamic properties of the quantum Bose…

General Physics · Physics 2014-12-19 Boris Bondarev

We optimize the classical field approximation of the version described in J. Phys. B 40, R1 (2007) for the oscillations of a Bose gas trapped in a harmonic potential at nonzero temperatures, as experimentally investigated by Jin et al.…

Quantum Gases · Physics 2010-03-31 Tomasz Karpiuk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

The equation of state of a homogeneous two-dimensional Bose gas is calculated using quantum Monte Carlo methods. The low-density universal behavior is investigated using different interatomic model potentials, both finite-ranged and…

Other Condensed Matter · Physics 2009-11-10 S. Pilati , J. Boronat , J. Casulleras , S. Giorgini