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Two-component Bose-Einstein condensates are considered within a number conserving version of the Bogoliubov theory. We show that the Bogoliubov vacuum state can be obtained in the particle representation in a simple form. We predict…

Other Condensed Matter · Physics 2009-11-13 Bartlomiej Oles , Krzysztof Sacha

Experiments aimed at demonstrating Bose-Einstein condensation of excitons in two types of experiments with bilayer structures (coupled quantum wells) are reviewed, with an emphasis on the basic effects. Bose-Einstein condensation implies…

Mesoscale and Nanoscale Physics · Physics 2010-11-18 D. W. Snoke

We present a comprehensive theoretical investigation of Bose-Einstein condensates (BECs) and their manifestations in astrophysical and cosmological contexts. Building upon the foundations of quantum statistics in curved spacetime, we derive…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-25 Nader Haddad

We study the Bose-Einstein condensation in non-extensive statistics for a free gas of bosons, and extend the results to the non-relativistic case as well. We present results for the dependence of the critical temperature and the condensate…

Quantum Gases · Physics 2021-10-27 E. Megias , V. S. Timóteo , A. Gammal , A. Deppman

We study the competition between phase definition and quantum phase fluctuations in interference experiments between independently formed Bose condensates. While phase-sensitive detection of atoms makes the phase progressively better…

Soft Condensed Matter · Physics 2009-10-31 Sigmund Kohler , Fernando Sols

We show how fragmentation of a Bose-Einstein condensate can occur given repulsive inter-particle interactions and a non-uniform external potential.

Quantum Physics · Physics 2015-06-26 R. W. Spekkens , J. E. Sipe

Bose-Einstein correlations in relativistic heavy ion collisions are examined in a general model containing the essential features of hydrodynamical, cascade as well as other models commonly employed for describing the particle freeze-out.…

Nuclear Theory · Physics 2009-10-30 H. Heiselberg , A. P. Vischer

The effects of quantum and thermal fluctuations upon the fringe structure predicted to be observable in the momentum distribution of coupled Bose-Einstein condensates are studied by the effective-potential method. For a double-well trap,…

Soft Condensed Matter · Physics 2009-11-07 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

We study quantum fluctuations of macroscopic parameters of an NLS breathers, i.e., the second-order soliton solution of the nonlinear Schr\"odinger equation. Uncertainty relations for the parameters are derived and compared to similar…

We study the relaxation dynamics of quantum turbulence in a two-component Bose-Einstein condensate containing half-quantum vortices. We find a temporal scaling regime for the number of vortices and the correlation lengths that at early…

Quantum Gases · Physics 2021-10-07 M. T. Wheeler , H. Salman , M. O. Borgh

Motivated by recent experimental and theoretical studies of fewparticle vortex clusters in Bose-Einstein condensates, we consider the ordinary differential equations of motion and systematically examine settings for up to N = 6 vortices. We…

Pattern Formation and Solitons · Physics 2015-06-16 Anna M. Barry , P. G. Kevrekidis

We study a quantum Boltzmann-Condensation system that describes the evolution of the interaction between a well formed Bose-Einstein condensate and the quasi-particles cloud. The kinetic model is valid for a dilute regime at which the…

Analysis of PDEs · Mathematics 2018-05-22 Ricardo Alonso , Irene M. Gamba , Minh-Binh Tran

Unless protected by the exact integrability, solitons are subject to dissipative forces, originating from a thermally fluctuating background. At low enough temperatures $T$ background fluctuations should be considered as being quantized…

Quantum Gases · Physics 2010-05-25 D. M. Gangardt , A. Kamenev

Fluctuations are fundamental in physics and important for understanding and characterizing phase transitions. In this spirit, the phase transition to the Bose-Einstein condensate (BEC) is of specific importance. Whereas fluctuations of the…

We report on the measurement of the momentum distribution of an elongated Bose-Einstein condensate. A broadening of the distribution with increasing temperature is observed, which is clear evidence for phase fluctuations in the sample.

Condensed Matter · Physics 2007-05-23 F. Gerbier , S. Richard , J. H. Thywissen , M. Hugbart , P. Bouyer , A. Aspect

Turbulence, the complicated fluid behavior of nonlinear and statistical nature, arises in many physical systems across various disciplines, from tiny laboratory scales to geophysical and astrophysical ones. The notion of turbulence in the…

Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on an assumption of an extended and homogeneous system. It is well known not to be…

Statistical Mechanics · Physics 2008-04-04 S. Kragset , E. Babaev , A. Sudbo

Various sum rules accounting for the coupling between density and particle excitations and emphasizing in an explicit way the role of the Bose-Einstein condensation are discussed. Important consequences on the fluctuations of the particle…

Condensed Matter · Physics 2007-05-23 S. Stringari

We examine in detail the mechanisms behind thermalization and Bose-Einstein condensation of a gas of photons in a dye-filled microcavity. We derive a microscopic quantum model, based on that of a standard laser, and show how this model can…

Quantum Gases · Physics 2015-03-23 Peter Kirton , Jonathan Keeling

We describe the transition of $N$ weakly interacting atoms into a Bose-Einstein condensate within a number-conserving quantum master equation theory. Based on the separation of time scales for condensate formation and non-condensate…

Quantum Physics · Physics 2015-05-19 Alexej Schelle , Thomas Wellens , Dominique Delande , Andreas Buchleitner