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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

We consider a dilute homogeneous Bose gas with both an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction in a weak random potential at low temperature in three dimensions. Within the realm of…

Quantum Gases · Physics 2015-01-09 Mahmoud Ghabour , Axel Pelster

We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

Condensed Matter · Physics 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

Statistical Mechanics · Physics 2007-05-23 L. Pricoupenko

The Gross-Pitaevskii equation has been extremely successful in the theory of weakly-interacting Bose-Einstein condensates. However, present-day experiments reach beyond the regime of its validity due to the significant role of correlations.…

Condensed Matter · Physics 2007-05-23 Krzysztof Goral , Thorsten Koehler , Thomas Gasenzer , Keith Burnett

We study, within a framework of the classical fields approximation, the density correlations of a weakly interacting expanding Bose gas for the whole range of temperatures across the Bose-Einstein condensation threshold. We focus on…

Quantum Gases · Physics 2015-10-09 Krzysztof Gawryluk , Mariusz Gajda , Miroslaw Brewczyk

Aiming for simplicity of explicit equations and at the same time controllable accuracy of the theory we present results for all thermodynamic quantities and correlation functions for the weakly interacting Bose gas at short-to-intermediate…

Quantum Gases · Physics 2015-05-14 B. Capogrosso-Sansone , S. Giorgini , S. Pilati , L. Pollet , N. Prokof'ev , B. Svistunov , M. Troyer

We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation spectrum of the system. Combining…

Mathematical Physics · Physics 2024-08-27 S. Fournais , L. Junge , T. Girardot , L. Morin , M. Olivieri , A. Triay

A classical fields approximation to the finite temperature microcanonical thermodynamics of weakly interacting Bose gas is applied to the idealized case of atoms confined in a box with periodic boundary conditions. We analyze in some detail…

Condensed Matter · Physics 2009-11-10 Miroslaw Brewczyk , Peter Borowski , Mariusz Gajda , Kazimierz Rzazewski

We investigate the single-particle spectral density of interacting bosons within the non-perturbative functional renormalization group technique. The flow equations for a Bose gas are derived in a scheme which treats the two-particle…

Quantum Gases · Physics 2011-12-05 Andreas Sinner , Nils Hasselmann , Peter Kopietz

We investigate the dynamics of short-range interacting Bose gases with varying degrees of diluteness and interaction strength. By applying a combined mean-field and semiclassical space-time rescaling to the dynamics in both the…

Analysis of PDEs · Mathematics 2025-03-07 Jacky Chong , Shunlin Shen , Zhifei Zhang

The correlation function is an important quantity in the physics of ultracold quantum gases because it provides information about the quantum many-body wave function beyond the simple density profile. In this paper we first study the…

Quantum Gases · Physics 2016-06-22 E. J. K. P. Nandani , Rudolf A. Roemer , Shina Tan , Xi-Wen Guan

The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field…

Quantum Gases · Physics 2015-06-03 Shi-Jie Yang , Yuechan Liu , Shiping Feng

An independent pair ansatz is developed for the many body wavefunction of dilute Bose systems. The pair correlation is optimized by minimizing the expectation value of the full hamiltonian (rather than the truncated Bogoliubov one)…

Condensed Matter · Physics 2009-11-07 S. Fantoni , T. M. Nguyen , A. Sarsa , S. R. Shenoy

We study the low-energy collective oscillations of a dilute Bose gas at finite temperature in the collisionless regime. By using a time-dependent mean-field scheme we derive for the dynamics of the condensate and noncondensate components a…

Condensed Matter · Physics 2009-10-31 S. Giorgini

We apply perturbative renormalization group theory to the symmetric phase of a dilute interacting Bose gas which is trapped in a three-dimensional harmonic potential. Using Wilsonian energy-shell renormalization and the epsilon-expansion,…

Condensed Matter · Physics 2009-11-10 G. Metikas , O. Zobay , G. Alber

We investigate the response of a one-dimensional Bose gas to a slow increase of its interaction strength. We focus on the rich dynamics of equal-time single-particle correlations treating the Lieb-Liniger model within a bosonization…

Quantum Gases · Physics 2016-09-27 Jean-Sebastien Bernier , Roberta Citro , Corinna Kollath , Edmond Orignac

We present a comprehensive study shedding light on how thermal fluctuations affect correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The pair correlation function, the static structure factor, and the…

Quantum Gases · Physics 2023-04-10 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

We exploit a few- to many-body approach to study strongly interacting dipolar bosons in the quasi-one-dimensional system. The dipoles attract each other while the short range interactions are repulsive. Solving numerically the multi-atom…

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau