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A self-consistent model of the superfluid (SF) state of a Bose liquid with strong interaction between bosons is considered, in which at T=0, along with a weak single-particle Bose-Einstein condensate (BEC), there exists an intensive pair…

Soft Condensed Matter · Physics 2007-05-23 E. A. Pashitskii , S. V. Mashkevich , S. I. Vilchynskyy

Close to the superfluid plane-wave (PW) - supersolid stripe (ST) phase transition point of a zero temperature quasi-one-dimensional spin-orbit-coupled Bose gas, we find that an increase in temperature induces a phase transition to the…

Quantum Gases · Physics 2024-03-28 Rajat , Ritu , Arko Roy , Sandeep Gautam

This work presents the derivation of the large time and distance asymptotic behavior of the field-field correlation functions of impenetrable one-dimensional anyons at finite temperature. In the appropriate limits of the statistics…

Statistical Mechanics · Physics 2015-05-14 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin

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

We calculate the superfluid transition temperature of homogeneous interacting Bose gases in three and two spatial dimensions using large-scale Path Integral Monte Carlo simulations (with up to $N=10^5$ particles). In 3D we investigate the…

Other Condensed Matter · Physics 2013-08-09 S. Pilati , S. Giorgini , N. Prokof'ev

We study the density modulation that appears in a Bose-Einstein condensate flowing with supersonic velocity against an obstacle. The experimental density profiles observed at JILA are reproduced by a numerical integration of the…

Other Condensed Matter · Physics 2015-06-25 I. Carusotto , S. X. Hu , L. A. Collins , A. Smerzi

In this article we introduce a differential equation for the first order correlation function $G^{(1)}$ of a Bose-Einstein condensate at T=0. The Bogoliubov approximation is used. Our approach points out directly the dependence on the…

Condensed Matter · Physics 2009-11-07 A. Montina , E. Arimondo

The Bogoliubov approximation is used to study the excited states of a dilute gas of $N$ atomic bosons trapped in an isotropic harmonic potential characterized by a frequency $\omega_0$ and an oscillator length $d_0 =…

Condensed Matter · Physics 2009-10-28 Alexander L. Fetter

The paper contains some preliminary results about the problem of Bose condensation at zero temperature. It is shown that the usual picture of three dimensional Bose condensation, the so called Bogoliubov approximation, can be explained in…

Condensed Matter · Physics 2009-10-22 G. Benfatto

We consider systems of $N$ bosons in a box with volume one, interacting through a repulsive two-body potential of the form $\kappa N^{3\beta-1} V(N^\beta x)$. For all $0 < \beta < 1$, and for sufficiently small coupling constant $\kappa >…

Mathematical Physics · Physics 2017-05-19 Chiara Boccato , Christian Brennecke , Serena Cenatiempo , Benjamin Schlein

The single- and multi- particle inclusive spectra for strongly inhomogeneous thermal boson systems are studied using the method of statistical operator. The thermal Wick's theorem is generalized and the analytical solution of the problem…

Nuclear Theory · Physics 2007-05-23 Yu. M. Sinyukov

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 investigate the stability and critical velocity of a weakly interacting Bose gas flowing in a random potential. By applying the Bogoliubov theory to a disordered Bose system with a steady flow, the condensate density and the superfluid…

Quantum Gases · Physics 2017-11-22 Taiki Haga

We have found an expression for the full many-body Green's function of N pairwise finite-range interacting atoms, in a form of a chain fraction involving two-body T-matrices only, with no explicit presence of the interaction potentials…

Condensed Matter · Physics 2009-11-07 Maxim Olshanii , Ludovic Pricoupenko

We present an analytic Bogoliubov description of a BEC of polar molecules trapped in a quasi-2D geometry and interacting via internal state-dependent dipole-dipole interactions. We derive the mean-field ground-state energy functional, and…

The pointwise space-time behavior of the Green's function of the one-dimensional Vlasov-Maxwell-Boltzmann (VMB) system is studied in this paper. It is shown that the Green's function consists of the macroscopic diffusive waves and Huygens…

Analysis of PDEs · Mathematics 2023-10-02 Hai-Liang Li , Tong Yang , Mingying Zhong

We study the dynamical response of ultracold fermion-boson mixture in the Bogoliubov regime, where the interactions between fermionic impurities and bosonic excitations (phonons) are described by an effective Frohlich model under the…

Quantum Gases · Physics 2016-09-01 Kai Ji , Andreas Komnik

We report on ground state properties of a one-dimensional, weakly-interacting Bose gas constrained by an infinite multi-rods periodic structure at zero temperature. We solve the stationary Gross-Pitaevskii equation (GPE) to obtain the Bloch…

Quantum Gases · Physics 2020-01-09 Omar Abel Rodríguez-López , M. A. Solís

We determine the hydrodynamic modes of the superfluid analog of a smectic-A phase in liquid crystals, i.e., a state in which both gauge invariance and translational invariance along a single direction are spontaneously broken. Such a…

Quantum Gases · Physics 2021-04-07 Johannes Hofmann , Wilhelm Zwerger

We consider dynamic, i.e., frequency-dependent, correlations in non-condensed ultracold atomic Bose gases. In particular, we consider the single-particle correlation function and its power spectrum. We compute this power spectrum for a…

Quantum Gases · Physics 2014-03-05 A. Bezett , H. J. van Driel , M. P. Mink , H. T. C. Stoof , R. A. Duine
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