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It is shown that thermal fluctuations of the normal component induce dephasing -- reversible damping of the low energy collective modes of a confined Bose-Einstein condensate. The dephasing rate is calculated for the isotropic oscillator…

Soft Condensed Matter · Physics 2016-08-31 A. B. Kuklov , N. Chencinski

We propose and demonstrate the appearance of an effective attractive three-body interaction in coherently-driven two-component Bose Einstein condensates. It originates from the spinor degree of freedom that is affected by a two-body…

Quantum Gases · Physics 2022-03-14 A. Hammond , L. Lavoine , Thomas Bourdel

These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic…

Condensed Matter · Physics 2022-03-23 Yvan Castin

We study a Bose-condensed gas at finite temperature, in which the particles of the condensate and of the thermal cloud are constrained to move in a plane under radial harmonic confinement and interact via strictly two-dimensional…

Soft Condensed Matter · Physics 2009-11-10 K. K. Rajagopal , P. Vignolo , M. P. Tosi

A system with Bose-Einstein condensate is considered in the frame of the self-consistent mean-field approximation, which is conserving, gapless, and applicable for arbitrary interaction strengths and temperatures. The main attention is paid…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

We suggest a practical way to estimate the condensate fraction of an interacting dilute Bose gas confined by an external harmonic potential as a function of temperature and scattering length. It shows that an increase of the scattering…

Statistical Mechanics · Physics 2011-11-09 Sang-Hoon Kim

The equilibrium properties of a weakly interacting atomic Bose gas across the Berezinskii-Kosterlitz-Thouless (BKT) and Bose-Einstein condensation (BEC) phase transitions are numerically investigated through a dimensionality crossover from…

Quantum Gases · Physics 2024-12-13 Nick Keepfer , I-Kang Liu , Franco Dalfovo , Nick Proukakis

Bose-Einstein condensation, observed in either strongly interacting liquid helium or weakly interacting atomic Bose gases, is widely known to be a second-order phase transition. Here, we predict a first-order Bose-Einstein condensation in a…

Quantum Gases · Physics 2022-01-21 Hui Hu , Zeng-Qiang Yu , Jia Wang , Xia-Ji Liu

We outline a practical scheme for measuring the thermodynamic properties of a Bose-Einstein condensate as a function of internal energy. We propose using Bragg scattering and controlled trap manipulations to impart a precise amount of…

Other Condensed Matter · Physics 2009-11-13 P. B. Blakie , E. Toth , M. J. Davis

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 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

We calculate the stability diagram for a trapped normal Bose gas with dipole-dipole interactions. Our study characterizes the roles of trap geometry, temperature, and short-ranged interactions on the stability. We predict a robust double…

Quantum Gases · Physics 2012-08-08 R. N. Bisset , D. Baillie , P. B. Blakie

In response to a recent manuscript [cond-mat/0609685] on the analysis of interference patterns produced by ultracold atoms released from an optical lattice, we point out that in the presence of a Bose-Einstein condensate the interference…

Statistical Mechanics · Physics 2007-05-23 Fabrice Gerbier , Simon Foelling , Artur Widera , Immanuel Bloch

Phase transitions are well understood and generally followed by the behavior of the associated thermodynamic quantities, such as in the case of the $\lambda$ point superfluid transition of liquid helium, which is observed in its heat…

We discuss BEC in (quasi)2D trapped gases and find that well below the transition temperature $T_c$ the equilibrium state is a true condensate, whereas at intermediate temperatures $T<T_c$ one has a quasicondensate (condensate with…

Statistical Mechanics · Physics 2009-10-31 D. S. Petrov , M. Holzmann , G. V. Shlyapnikov

We demonstrate the existence of phase fluctuations in elongated Bose-Einstein Condensates (BECs) and study the dependence of those fluctuations on the system parameters. A strong dependence on temperature, atom number, and trapping geometry…

Grand-canonical fluctuations of Bose-Einstein condensates of light are accessible to state-of-the-art experiments [J. Schmitt et al., Phys. Rev. Lett. 112, 030401 (2014).]. We phenomenologically describe these fluctuations by using the…

Statistical Mechanics · Physics 2016-10-21 Christoph Weiss , Jacques Tempere

We study the properties of a Bose-Einstein condensed cloud of atoms with negative scattering length confined in a harmonic trap. When a realistic non local (finite range) effective interaction is taken into account, we find that, besides…

Condensed Matter · Physics 2007-05-23 L. Reatto , A. Parola , L. Salasnich

Explicit expressions for all the transport coefficients have recently been found for a trapped Bose condensed gas at finite temperatures. These transport coefficients are used to define the characteristic relaxation times, which determine…

Statistical Mechanics · Physics 2009-11-07 T. Nikuni , A. Griffin

We study a Bose-Einstein condensate (BEC) of a dilute gas with dipolar interactions, at finite temperature, using the Hartree-Fock-Bogoliubov (HFB) theory within the Popov approximation. An additional approximation involving the dipolar…

Statistical Mechanics · Physics 2009-11-13 Shai Ronen , John Bohn
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