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Bose polarons, quasi-particles composed of mobile impurities surrounded by cold Bose gas, can experience strong interactions mediated by the many-body environment and form bipolaron bound states. Here we present a detailed study of heavy…

Quantum Gases · Physics 2021-09-02 Martin Will , Gregory E. Astrakharchik , Michael Fleischhauer

We study a gas of bosonic dipolar atoms in the presence of a transverse harmonic trapping potential by using an improved variational Bethe ansatz, which includes the transverse width of the atomic cloud as a variational parameter. Our…

Quantum Gases · Physics 2023-03-07 Stefania De Palo , Edmond Orignac , Roberta Citro , Luca Salasnich

We investigate the properties of self-bound ultradilute Bose-Bose mixtures, beyond the Lee-Huang-Yang description. Our approach is based on the determination of the beyond mean-field corrections to the phonon modes of the mixture in a…

Quantum Gases · Physics 2020-08-19 Miki Ota , Grigori E. Astrakharchik

The kinetic and interaction energies of a three-dimensional dilute ground-state Bose gas confined in a trap are calculated beyond a mean-field treatment. They are found to depend on the pairwise interaction trough two characteristic…

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

A model of the mean-field interacting boson gas trapped by a weak harmonic potential is considered by the \textit{boson random point fields} methods. We prove that in the Weak Harmonic Trap (WHT) limit there are two phases distinguished by…

Mathematical Physics · Physics 2009-11-13 Hiroshi Tamura , Valentin Zagrebnov

We provide an analytic solution for the mean-field equations and for the relevant physical quantities at the Gaussian level, in terms of the complete elliptic integrals of the first and second kinds, for the crossover problem from BCS…

Superconductivity · Physics 2009-10-30 M. Marini , F. Pistolesi , G. C. Strinati

Using mean-field theory for the Bardeen-Cooper-Schriefer (BCS) to the Bose-Einstein condensate (BEC) crossover we investigate the ground state thermodynamic properties of an interacting homogeneous Fermi gas. The interatomic interactions…

Quantum Gases · Physics 2015-06-04 Santiago F. Caballero-Benitez , Rosario Paredes , Victor Romero-Rochin

We study an ideal Bose gas of N atoms contained in a box formed by two identical planar and parallel surfaces S, enclosed by a mantle of height a perpendicular to them. Calling r0 the mean atomic distance, we assume S >> r0^2 while a may be…

Statistical Mechanics · Physics 2008-02-03 M. I. Molina , J. A Roessler

In this Rapid Communication, we describe how the presence of the third dimension may break the scale invariance in a two-dimensional Bose gas in a pancake-shaped trap. From the two-dimensional perspective, the possibility of a weak spilling…

We investigate the momentum distribution of weakly interacting 1D Bose gases at thermal equilibrium both experimentally and theoretically. Momentum distribution of single 1D Bose gases is measured using a focusing technique, whose…

Quantum Gases · Physics 2012-11-09 Thibaut Jacqmin , Bess Fang , Tarik Berrada , Tommaso Roscilde , Isabelle Bouchoule

The detailed mean-field treatment of the Bose polaron problem in two and three dimensions is presented. Particularly, assuming that impurity is immersed in the dilute Bose gas and interacts with bosons via the hard-sphere two-body…

Quantum Gases · Physics 2020-10-28 O. Hryhorchak , G. Panochko , V. Pastukhov

One-dimensional Bose gases are considered, interacting either through the hard-core potentials or through the contact delta potentials. Interest in these gases gained momentum because of the recent experimental realization of…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , M. D. Girardeau

Exploring the impact of dimensionality on the quantum dynamics of interacting bosons in traps including particle correlations is an interesting but challenging task. Due to the different participating length scales the modelling of the…

Quantum Gases · Physics 2017-02-01 V. Bolsinger , S. Krönke , P. Schmelcher

Photon Bose-Einstein condensates are characterised by a quite weak interaction, so they behave nearly as an ideal Bose gas. Moreover, since the current experiments are conducted in a microcavity, the longitudinal motion is frozen out and…

Quantum Gases · Physics 2022-02-14 Enrico Stein , Axel Pelster

Phase correlations, density fluctuations and three-body loss rates are relevant for many experiments in quasi one-dimensional geometries. Extended mean-field theory is used to evaluate correlation functions up to third order for a quasi…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Eckart , R. Walser , W. P. Schleich

We revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-Einstein condensates, under the action of strong confinement in one direction ($z$), to a 2D mean-field equation. We address this problem for the…

Quantum Gases · Physics 2020-10-14 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

The well-known Bogoliubov expression for the spectrum of a weakly interacting dilute Bose gas becomes inadequate when the density or interactions strength are increased. The corrections to the spectrum due to stronger interactions were…

Other Condensed Matter · Physics 2008-09-10 Shai Ronen

In this work, we extend the analysis of interacting bosons at 2D-1D dimensional crossover for finite size and temperature by using field-theory approach (bosonization) and quantum Monte Carlo simulations. Stemming from the fact that finite…

Quantum Gases · Physics 2024-07-10 Lorenzo Pizzino , Hepeng Yao , Thierry Giamarchi

We study various properties of an ultracold two-dimensional (2D) Bose gas that are beyond a mean-field description. We first derive the effective interaction for such a system as realized in current experiments, which requires the use of an…

Statistical Mechanics · Physics 2009-11-13 Lih-King Lim , C. Morais Smith , H. T. C. Stoof

Dimensionality serves as an indispensable ingredient in any attempt to formulate the low-dimensional physics, and studying the dimensional crossover at a fundamental level is challenging. The purpose of this work is to study the…

Quantum Gases · Physics 2022-11-22 KangKang Li , Zhaoxin Liang