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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

Spin-orbit coupled bosons can exhibit rich equilibrium phases at low temperature and in the presence of particle-particle interactions. In the case with a 1D synthetic spin-orbit interaction, it has been observed that the ground state of a…

Quantum Gases · Physics 2016-06-22 Jeffrey Ting Fung Poon , Xiong-Jun Liu

In this work we analyze a non--interacting one dimensional polymer Bose--Einstein condensate in an harmonic trap within the semiclassical approximation. We use an effective Hamiltonian coming from the polymer quantization that arises in…

General Relativity and Quantum Cosmology · Physics 2015-06-12 E. Castellanos , G. Chacon-Acosta

We consider the thermodynamics of a homogeneous superfluid dilute Bose gas in the presence of weak quenched disorder. Following the zero-temperature approach of Huang and Meng, we diagonalize the Hamiltonian of a dilute Bose gas in an…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

An important component of the structure of the atom, the effects of spin-orbit coupling are present in many sub-fields of physics. Most of these effects are present continuously. We present a detailed study of the dynamics of changing the…

Quantum Gases · Physics 2022-02-16 D. J. Brown , M. D. Hoogerland

We determine the critical temperature of a 3-d homogeneous system of hard-sphere Bosons by path-integral Monte Carlo simulations and finite-size scaling. At low densities, we find that the critical temperature is increased by the repulsive…

Statistical Mechanics · Physics 2009-10-30 Peter Grüter , David Ceperley , Franck Laloë

We consider systems of bosons trapped in a box, in the Gross-Pitaevskii regime. We show that low-energy states exhibit complete Bose-Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent…

Mathematical Physics · Physics 2019-10-02 Chiara Boccato , Christian Brennecke , Serena Cenatiempo , Benjamin Schlein

The stability of nonstationary states of homogeneous spin-1 Bose-Einstein condensates is studied by performing Bogoliubov analysis in a frame of reference where the state is stationary. In particular, the effect of an external magnetic…

Quantum Gases · Physics 2013-09-17 H. Mäkelä , M. Johansson , M. Zelan , E. Lundh

We analyze quantum correlation properties of a spinor-1 (f=1) Bose Einstein condensate using the Gell-Mann realization of SU(3) symmetry. We show that previously discussed phenomena of condensate fragmentation and spin-mixing can be…

Quantum Physics · Physics 2016-09-08 Özgür E. Müstecaplıoğlu , M. Zhang , L. You

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

We study a finite-time thermodynamic refrigeration cycle realized numerically in three-dimensional, weakly interacting Bose-Einstein condensates (BECs). The setup consists of three spatially separated condensates -- system, piston, and…

We consider coupled spin and heat transport in a two-component, atomic Bose gas in the noncon- densed state. We find that the transport coefficients show a temperature dependence reflecting the bosonic enhancement of scattering, and discuss…

Quantum Gases · Physics 2012-02-16 C. H. Wong , H. J. van Driel , R. Kittinaradorn , H. T. C. Stoof , R. A. Duine

We present a pedagogical introduction to Bose-Einstein condensation in traps with spherical symmetry, namely the spherical box and the thick shell, sometimes called bubble trap. In order to obtain the critical temperature for Bose-Einstein…

We consider the finite size effect on thermo-magnetic properties of charged Bose gases confined in a quasi two-dimentsional potential. A modified semiclassical approach is used, taking into account the finite size correction to guarantee an…

Quantum Gases · Physics 2017-11-27 A. H. Abbas , W. M. Seif , Th. elsherbini , Ahmed S. Hassan

We consider the grand canonical thermodynamics of a noninteracting scalar field in a static spacetime. We take the nonrelativistic limit of thermodynamic quantities in a way that leaves the curved structure of the background geometry…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Levent Akant , Birses Debir , İ. Çağrı İşeri

We consider an ensemble of trapped atoms interacting with a continuous wave laser field. For sufficiently polarized atoms and for a polarized light field, we may approximate the non-classical components of the collective spin angular…

Quantum Physics · Physics 2009-11-10 Lars Bojer Madsen , Klaus Mølmer

The phase transition to a Bose-Einstein condensate is unusual in that it is not necessarily driven by inter-particle interactions but can occur in an ideal gas as a result of a purely statistical saturation of excited states. However,…

Quantum Gases · Physics 2012-03-12 Robert P. Smith , Zoran Hadzibabic

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

In this paper we investigate the Bose-Einstein condensation of massive spin-1 particles in an Einstein universe. The system is considered under relativistic conditions taking into consideration the possibility of particle-antiparticle pair…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. B. Altaie , Ehab Malkawi

We study the collective excitation spectrum of a Raman-induced spin-orbit-coupled spin-1 Bose-Einstein condensate confined in a quasi-one-dimensional harmonic trap while varying either the Raman coupling or quadratic Zeeman term by using…

Quantum Gases · Physics 2025-03-25 Rajat , Paramjeet Banger , Sandeep Gautam