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In this work, we study the thermodynamic properties of a spin-1 Bose gas across the Bose-Einstein condensation transition. We present the theoretical description of the thermodynamics of a trapped ideal spin-1 Bose gas and we describe the…

We report the measurement of the global thermal expansion coefficient of a confined Bose gas of $^{87}\rm Rb$ in a harmonic potential around the Bose-Einstein condensation transition temperature. We use the concept of global thermodynamic…

Quantum Gases · Physics 2020-06-25 E. D. Mercado-Gutierrez , F. J. Poveda-Cuevas , Vanderlei S. Bagnato

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 the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate…

Condensed Matter · Physics 2007-05-23 M. Bijlsma , H. T. C. Stoof

In this paper, we present an exactly solvable phase transition model in which the phase transition is purely statistically derived. The phase transition in this model is a generalized Bose-Einstein condensation. The exact expression of the…

Statistical Mechanics · Physics 2015-05-14 Wu-Sheng Dai , Mi Xie

Bose-Einstein condensation (BEC) of a noninteracting Bose gas of N particles in a two-dimensional box with Dirichlet boundary conditions is studied. Confirming previous work, we find that BEC occurs at finite N at low temperatures T without…

Statistical Mechanics · Physics 2015-12-08 Heqiu Li , Qiujiang Guo , Ji Jiang , D. C. Johnston

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

Bose-Einstein condensation (BEC) in a gas has now been achieved. Alkali atoms ($^{87}Rb$, $^{23}Na$ and $^{7}Li$) have been cooled to the point of condensation (temperature of 100 nK) using laser cooling and trapping, followed by magnetic…

Quantum Physics · Physics 2016-09-08 Luca Salasnich

We reconcile a long-standing controversy regarding the transition temperature of the Bose-Einstein condensation in a dilute interacting Bose gas, by showing that there is a crossover between ideal gas and interacting gas. The former…

Statistical Mechanics · Physics 2007-08-17 Kersion Huang

We present a numerical study of a trapped binary Bose-condensed gas by solving the corresponding Hartree-Fock equations. The density profile of the binary Bose gas is solved with a harmonic trapping potential as a function of temperature in…

Soft Condensed Matter · Physics 2015-06-25 P. Ohberg , S. Stenholm

We discuss possible connections between the thermostatistical properties of a gas of the two-parameter deformed bosonic particles called Fibonacci oscillators and the properties of the Tsallis thermostatistics. In this framework, we…

Statistical Mechanics · Physics 2009-04-21 Abdullah Algin

We present a new exact method to numerically compute the thermodynamical properties of an interacting Bose gas in the canonical ensemble. As in our previous paper (Phys. Rev. A, 63 023606 (2001)), we write the density operator $\rho$ as an…

Soft Condensed Matter · Physics 2009-11-07 Iacopo Carusotto , Yvan Castin

We report the formation of Bose-Einstein condensates into non-equilibrium states. Our condensates are much longer than equilibrium condensates with the same number of atoms, show strong phase fluctuations, and have a dynamical evolution…

We question the validity of the grand canonical ensemble for the description of Bose-Einstein condensation of small ideal Bose gas samples in isolated harmonic traps. While the ground state fraction and the specific heat capacity can be…

Statistical Mechanics · Physics 2008-02-03 Siegfried Grossmann , Martin Holthaus

The boundary of two mixed Bose-Einstein condensates interacting repulsively was considered in the case of spatial separation at zero temperature. Analytical expressions for density distribution of condensates were obtained by solving two…

Soft Condensed Matter · Physics 2012-05-28 R. A. Barankov

We estimate the amount of temperature-dependent squeezing and entanglement in the collective excitations of trapped Bose-Einstein condensates. We also demonstrate an alternative method of temperature measurement for temperatures much less…

Condensed Matter · Physics 2009-11-07 J. Rogel-Salazar , S. Choi , G. H. C. New , K. Burnett

Monte Carlo method within, so called, classical fields approximation is applied to one dimensional weakly interacting repulsive Bose gas trapped in a harmonic potential. Equilibrium statistical properties of the condensate are calculated…

Quantum Physics · Physics 2013-05-29 Przemyslaw Bienias , Krzysztof Pawlowski , Mariusz Gajda , Kazimierz Rzazewski

We discuss Bose-Einstein condensation in harmonic traps where the confinement has undergone a splitting along one direction. We mostly consider the 3D potentials consisting of two cylindrical wells separated a distance 2a along the z-axis.…

Condensed Matter · Physics 2009-10-31 P. Capuzzi , E. S. Hernandez

We present precise path-integral Monte-Carlo results for the thermodynamics of a homogeneous dilute Bose gas. Pressure and energy are calculated as a function of temperature both below and above the Bose-Einstein transition. Specifically,…

Quantum Gases · Physics 2023-10-23 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

We analyze the thermodynamic limit - modeled as the open-trap limit of an isotropic harmonic potential - of an ideal, non-relativistic Bose gas with a special emphasis on the phenomenon of Bose-Einstein condensation. This is accomplished by…

Mathematical Physics · Physics 2022-12-07 Daniel Alexander Weiss