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We explore the dynamics of a Bose gas following its quench to a strongly interacting regime near a Feshbach resonance. Within a self-consistent Bogoliubov analysis we find that after the initial condensate-quasiparticle Rabi oscillations,…

Quantum Gases · Physics 2014-08-25 Xiao Yin , Leo Radzihovsky

A quantum field-theoretical model, which describes spatially non-homogeneous repulsive Bose gas in an external harmonic potential is considered. Two-point thermal correlation functions of the Bose gas are calculated in the framework of the…

Mathematical Physics · Physics 2007-05-23 C. Malyshev , N. M. Bogoliubov

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. The…

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

Utilizing a recently found class of exact, analytic rotating solutions of non-relativistic fireball hydrodynamics, we calculate analytically the single-particle spectra, the elliptic flows and two-particle Bose-Einstein correlation…

Nuclear Theory · Physics 2016-03-02 T. Csorgo , M. I. Nagy , I. F. Barna

We calculate the critical temperature for Bose-Einstein condensation in a gas of bosonic atoms across a Feshbach resonance, and show how medium effects at negative scattering lengths give rise to pairs reminiscent of the ones responsible…

Other Condensed Matter · Physics 2014-11-18 Arnaud Koetsier , P. Massignan , R. A. Duine , H. T. C. Stoof

We discuss the collective modes of a trapped Bose gas in the hydrodynamic regime where atomic collisions ensure local thermal equilibrium for the distribution function. Starting from the conservation laws, in the linearized limit we derive…

Condensed Matter · Physics 2009-10-28 A. Griffin , Wen-Chin Wu , S. Stringari

We study wave propagation in interacting Bose liquid, where the short range part of the interaction between atoms is of a hard core type, and its long range part scales with a distance as a power law. The cases of Coulomb, dipole-dipole and…

Quantum Gases · Physics 2016-07-20 A. D. Sarishvili , I. V. Protopopov , D. B. Gutman

We consider the correlations and superfluid properties of a Bose gas in an external potential. Using a Bogoliubov scheme, we obtain expressions for the correlation function and the superfluid density in an arbitrary external potential.…

Disordered Systems and Neural Networks · Physics 2011-08-16 Alberto Cetoli , Emil Lundh

We study interacting Bose gases and prove lower bounds for the kinetic plus interaction energy of a many-body wave function in terms of its particle density. These general estimates are then applied to various types of interactions,…

Mathematical Physics · Physics 2015-04-14 Douglas Lundholm , Fabian Portmann , Jan Philip Solovej

Free expansion following the removal of axial confinement represents a fundamental nonequilibrium scenario in the study of many-body ultracold gases. Using the stationary phase approximation, we analytically demonstrate that for all…

Quantum Gases · Physics 2025-08-05 Ovidiu I. Patu , Gianni Aupetit-Diallo

We analyze theoretically the transport properties of a weakly-interacting ultracold Bose gas enclosed in two reservoirs connected by a constriction. We assume that the transport of the superfluid part is hydrodynamic, and we describe the…

Quantum Gases · Physics 2015-06-19 D. J. Papoular , L. P. Pitaevskii , S. Stringari

We calculate the damping of low-lying collective modes of a trapped Bose gas in the hydrodynamic regime, and show that this comes solely from the shear viscosity, since the contributions from bulk viscosity and thermal conduction vanish.…

Condensed Matter · Physics 2009-10-30 G. M. Kavoulakis , C. J. Pethick , H. Smith

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the…

Mathematical Physics · Physics 2019-08-27 Andreas Deuchert , Robert Seiringer , Jakob Yngvason

We study an atomic Bose gas with an s-wave Feshbach resonance in a one-dimensional optical lattice, with the densities of atoms and molecules incommensurate with the lattice. At zero temperature, most of the parameter region is occupied by…

Superconductivity · Physics 2009-11-11 Yu-Wen Lee , Yu-Li Lee

We study expansion of quasi-one-dimensional Bose-Einstein condensate (BEC) after switching off the confining harmonic potential. Exact solution of dynamical equations is obtained in framework of the hydrodynamic approximation and it is…

Soft Condensed Matter · Physics 2009-11-10 V. A. Brazhnyi , A. M. Kamchatnov , V. V. Konotop

We consider the properties of a gas of bosonic diatomic molecules in the limit when few of the molecules are dissociated. Taking into account the effects of dissociation and scattering among molecules and atoms, we calculate the dispersion…

Other Condensed Matter · Physics 2015-06-25 L. M. Jensen , H. Mäkelä , C. J. Pethick

In this paper, we study the phase diagram of a homogeneous Bose gas with a repulsive interaction near a wide Feshbach resonance at zero temperature. The Bose-Einstein-condensation (BEC) state of atoms is a metastable state. When the…

Other Condensed Matter · Physics 2009-11-13 Lan Yin

The dynamical evolution of a Bose-Einstein condensate trapped in a one-dimensional lattice potential is investigated theoretically in the framework of the Bose-Hubbard model. The emphasis is set on the far-from-equilibrium evolution in a…

Other Condensed Matter · Physics 2008-09-08 Kristan Temme , Thomas Gasenzer

We investigate the long-range phase coherence of homogeneous and trapped Bose gases as a function of the geometry of the trap, the temperature, and the mean-field interactions in the weakly interacting limit. We explicitly take into account…

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

Optical excitations in a Bose gas are demonstrated to be very sensitive to many-body effects. At low temperature the momentum relaxation is provided by momentum exchange collisions, rather than by elastic collisions. A collective excitation…

Condensed Matter · Physics 2008-04-12 M. O. Oktel , L. S. Levitov
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