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We observe spin rotations caused by atomic collisions in a non-equilibrium Bose-condensed gas of $^{87}$Rb. Reflection from a pseudomagnetic barrier creates counterflow in which forward- and backward-propagating matter waves have partly…

Quantum Gases · Physics 2024-04-25 David C. Spierings , Joseph H. Thywissen , Aephraim M. Steinberg

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

In this work, we would like to present the Bose-Einstein Condensation in such a system where rotation is decreasing radially from the centre of the condensate. That non-uniform rotation is defined by a rotating parameter called $\lambda$.…

Atomic Physics · Physics 2018-06-21 Saswata Sahu , Dwipesh Majumder

Here we describe a weakly interacting Bose gas on a curved manifold, which is embedded in the three-dimensional Euclidean space.~To this end we start by considering a harmonic trap in the normal direction of the manifold, which confines the…

We consider a periodic vortex lattice in a rotating Bose-Einstein condensed gas, where the centrifugal potential is exactly compensated by the external harmonic trap. By introducing a gauge transformation which makes the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Cozzini , S. Stringari , C. Tozzo

The Bose-Einstein condensation of correlated atoms in a trap is studied by examining the effect of inter-particle correlations to one-body properties of atomic systems at zero temperature using a simplified formula for the correlated two…

Soft Condensed Matter · Physics 2009-11-07 Ch. C. Moustakidis , S. E. Massen

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich

We calculate the ultra-relativistic Bose-Einstein condensation temperature of a complex scalar field with weak lambda Phi^4 interaction. We show that at high temperature and finite density we can use dimensional reduction to produce an…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. J. Bedingham , T. S. Evans

We study the effects of repulsive interactions on the critical density for the Bose-Einstein transition in a homogeneous dilute gas of bosons. First, we point out that the simple mean field approximation produces no change in the critical…

Statistical Mechanics · Physics 2009-11-07 Gordon Baym , Jean-Paul Blaizot , Markus Holzmann , Franck Laloe , Dominique Vautherin

We consider a boson gas on the stretched horizon of the Schwartzschild and Kerr black holes. It is shown that the gas is in a Bose-Einstein condensed state with the Hawking temperature $T_c=T_H$ if the particle number of the system be equal…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Somayeh Zare , Zahra Raissi , Hosein Mohammadzadeh , Behrouz Mirza

We consider the ground state of a Bose gas of N particles on the three-dimensional unit torus in the mean-field regime that is known to exhibit Bose-Einstein condensation. Bounded one-particle operators with law given through the…

Mathematical Physics · Physics 2023-06-21 Simone Rademacher

We compare the equilibrium solution for the condensate obtained in the mean--field approximation to the master equation for sympathetic cooling with the one obtained by Scully for a system in contact with a heat bath with the help of an…

Condensed Matter · Physics 2007-05-23 S. J. Wang , M. C. Nemes , A. N. Salgueiro , H. A. Weidenmüller

We develop a diagrammatic perturbation treatment to calculate the zero-temperature equation of state of the dilute gas mixture of a single spin component Bose-Einstein condensate (BEC) and a normal Fermi gas of indistinguishable (single…

Statistical Mechanics · Physics 2009-11-13 D. H. Santamore , Eddy Timmermans

We predict a dynamical resonant effect, which is driven by externally applied linear and quadratic Zeeman fields, in a spin-orbit-coupled spin-1 Bose-Einstein condensate. The Bose-Einstein condensate is assumed to be initialized in some…

Quantum Gases · Physics 2021-01-04 Jingtao Fan , Gang Chen , Suotang Jia

A dilute bose gas in a quasi two-dimensional harmonic trap and interacting with a repulsive two-body zero-range potential of fixed coupling constant is considered. Using the Thomas-Fermi method, it is shown to remain in the same uncondensed…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. K. Bhaduri , S. M. Reimann , S. Viefers , A. Ghose Choudhury , M. K. Srivastava

Variational method is applied to describe Bose-Einstein condensates (BEC) interacting via a pseudo-potential, taking into account quantum fluctuations around the mean field by the Gaussian approximation. Contributions from the pair-wise…

Condensed Matter · Physics 2007-05-23 Y. Tsue , D. Vautherin , T. Matsui

This article reviews recent investigations on the phenomenon of Bose-Einstein condensation of dilute gases. Since the experimental observation of quantum degeneracy in atomic gases, the research activity in the field of coherent…

Soft Condensed Matter · Physics 2007-05-23 Ph. W. Courteille , V. S. Bagnato , V. I. Yukalov

In a recent experiment, a Bose-Einstein condensate was trapped in an anharmonic potential which is well approximated by a harmonic and a quartic part. The condensate was set into such a fast rotation that the centrifugal force in the…

Statistical Mechanics · Physics 2009-11-11 Sebastian Kling , Axel Pelster

We consider a Bose gas consisting of $N$ particles in $\mathbb{R}^3$, trapped by an external field and interacting through a two-body potential with scattering length of order $N^{-1}$. We prove that low energy states exhibit complete…

Mathematical Physics · Physics 2022-04-27 Christian Brennecke , Benjamin Schlein , Severin Schraven

We reinvestigate the Bose-Einstein condensation (BEC) thermodynamics of a weakly interacting dilute Bose gas under the action of a trap using a semiclassical two-fluid mean-field model in order to find the domain of applicability of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari , A. Gammal