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An effective action is obtained of a Bose gas in the bulk separated into two regions by a strong external potential depending on the single coordinate. The main attention is focused on the relaxation of the difference between phases of the…

Statistical Mechanics · Physics 2007-05-23 V. S. Babichenko

A weakly interacting Bose gas with a single static impurity is studied in one dimension. The local spectral density is evaluated and an analytic expression valid for positive strengths of the impurity coupling to the bosons, at all…

Quantum Gases · Physics 2022-04-12 Aleksandra Petković

The equilibration of a finite Bose system is modelled using a gradient expansion of the collision integral that leads to a nonlinear transport equation. For constant transport coefficients, it is solved in closed form through a nonlinear…

High Energy Physics - Phenomenology · Physics 2018-02-12 Georg Wolschin

We obtain the superfluid hydrodynamic equations of a multi-component Bose gas with short-ranged interactions at zero temperature under the local equilibrium assumption and show that the quantum pressure is generally present in the…

Quantum Gases · Physics 2023-06-02 F. Zhang , L. Yin

We consider several models of interacting bosons in a one dimensional lattice. Some of them are not integrable like the Bose-Hubbard others are integrable. At low density all of these models can be described by the Bose gas with delta…

Statistical Mechanics · Physics 2009-11-10 Luigi Amico , Vladimir Korepin

The full momentum dependence of spectrum of a point-like impurity immersed in a dilute one-dimensional Bose gas is calculated on the mean-field level. In particular we elaborate, to the finite-momentum Bose polaron, the path-integral…

Quantum Gases · Physics 2019-10-02 Galyna Panochko , Volodymyr Pastukhov

We consider the problem of unitary Bose polarons, i.e., impurities interacting via a potential with infinite scattering length with a bath of weakly interacting bosons. We provide an analytic expression for the energy of a heavy impurity…

Assuming the existence of a Bose-Einstein condensate composed of the majority of a sample of ultracold, trapped atoms, perturbative treatments to incorporate the non-condensate fraction are common. Here we describe how this may be carried…

Quantum Gases · Physics 2017-08-23 S. A. Gardiner , T. P. Billam

We investigate the properties of the one-dimensional Bose gas at zero temperature, for which exact results exist for some model systems. We treat the interactions between particles in the gas with an approximate form of the many-body…

Condensed Matter · Physics 2007-05-23 M. D. Lee , S. A. Morgan , K. Burnett

We use a path integral approach to calculate the superfluid density of a Bose lattice gas in the limit where the number of atoms per site is large. Our analytical expressions agree with numerical results on small systems for low…

Quantum Gases · Physics 2012-09-13 Yariv Yanay , Erich J Mueller

Boson droplets (i.e., dense assemblies of bosons at low temperature) are shown to mask a significant amount of single-particle behavior and to manifest collective, droplet-wide excitations. To investigate the balance between single-particle…

Mathematical Physics · Physics 2012-03-06 Stephen Pankavich , Zeina Zhreif , Yong Chen , Peter Ortoleva

By unitary Bose gas we mean a system composed of spinless bosons with s-wave interaction of infinite scattering length and almost negligible (real or effective) range. Experiments are currently trying to realize it with cold atoms. From the…

Quantum Gases · Physics 2013-06-07 Yvan Castin , Félix Werner

Out of thermal equilibrium, bosonic quantum systems can Bose-condense away from the ground state, featuring a macroscopic occupation of an excited state or even of multiple states in the so-called Bose-selection scenario. In previous work,…

Quantum Gases · Physics 2024-09-12 Francesco Petiziol , André Eckardt

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

We develop the dilute Bose gas model with random potential in order to understand the Bose system in random media such as 4He in porous glass. Using the random potential taking account of the pore size dependence, we can compare…

Soft Condensed Matter · Physics 2009-11-07 Michikazu Kobayashi , Makoto Tsubota

Properties of low energy spectrum of elementary excitations in nonequilibrium Bose gas in stationary state with the dynamical equilibrium of outgoing and incoming of particles are studied. It is shown that due to the noise effect, typical…

Quantum Gases · Physics 2011-10-12 V. S. Babichenko

We present a new method of obtaining nonlinear integral equations characterizing the thermodynamics of one-dimensional multi-component gases interacting via a delta-function potential. In the case of the repulsive two-component Bose gas we…

Statistical Mechanics · Physics 2015-05-27 Andreas Klumper , Ovidiu I. Patu

We study an impurity immersed in the mixture of Bose ultracold gases in the regime where a quantum droplet exists. The quasi-one-dimensional geometry is considered. We find an effective attractive potential that acts by the quantum droplet…

Quantum Gases · Physics 2020-12-30 F. Kh. Abdullaev , R. M. Galimzyanov

A quantum-field approach to studying the Bose systems at finite temperatures and in states with spontaneously broken symmetry, in particular in a superfluid state, is proposed. A generalized model of a self-consistent field (SCF) for…

Statistical Mechanics · Physics 2013-06-11 Yu. M. Poluektov

We consider a massive relativistic Bose gas with $N$ complex scalars at finite density. At zero temperature, we calculate the pressure, charge density and the speed of sound in the one-loop approximation. In the nonrelativistic limit, we…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jens O. Andersen