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The paper is a continuation of our previous work on the strong convergence to equilibrium for the spatially homogeneous Boltzmann equation for Bose-Einstein particles for isotropic solutions at low temperature. Here we study the influence…

Analysis of PDEs · Mathematics 2025-01-27 Shuzhe Cai , Xuguang Lu

We investigate geometric resonances in Bose-Einstein condensates by solving the underlying time-dependent Gross-Pitaevskii equation for systems with two- and three-body interactions in an axially-symmetric harmonic trap. To this end, we use…

Quantum Gases · Physics 2013-03-08 Hamid Al-Jibbouri , Ivana Vidanovic , Antun Balaz , Axel Pelster

We investigate the nonlinear scattering dynamics in interacting atomic Bose-Einstein condensates under non-Hermitian dissipative conditions. We show that by carefully engineering a momentum-dependent atomic loss profile one can achieve…

Quantum Physics · Physics 2017-07-12 S. Wüster , R. El-Ganainy

We study the effects of an external periodic potential on the critical velocity of a superfluid Fermi gas in the crossover between the Bardeen-Cooper-Schrieffer (BCS) phase and Bose-Einstein condensation (BEC). We numerically solve the…

Quantum Gases · Physics 2011-08-04 Gentaro Watanabe , Franco Dalfovo , Lev P. Pitaevskii , Sandro Stringari

We investigate the structure of quantum correlations in an expanding Bose Einstein Condensate (BEC) through the analogue gravity framework. We consider both a 3+1 isotropically expanding BEC as well as the experimentally relevant case of an…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Angus Prain , Serena Fagnocchi , Stefano Liberati

Early during the era of cosmic inflation, rotational invariance may have been broken, only later emerging as a feature of low-energy physics. This motivates ongoing searches for residual signatures of anisotropic space-time, for example in…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Arun Rana , Abhijit Pendse , Sebastian Wüster , Sukanta Panda

We report on the experimental observation of classical Brownian motion in momentum space by a Bose-Einstein condensate (BEC) of Rubidium atoms prepared in a hexagonal optical lattice. Upon suddenly increasing the effective atomic mass, the…

We analyze prospects for the use of Bose-Einstein condensates as condensed-matter systems suitable for generating a generic ``effective metric'', and for mimicking kinematic aspects of general relativity. We extend the analysis due to Garay…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Carlos Barcelo , Stefano Liberati , Matt Visser

We sketch the major steps in a functional integral derivation of a new set of Stochastic Gross-Pitaevsky equations (GPE) for a Bose-Einstein condensate (BEC) confined to a trap at zero temperature with the averaged effects of non-condensate…

Statistical Mechanics · Physics 2009-11-13 Esteban Calzetta , B. L. Hu , Enric Verdaguer

Bose-Einstein condensates (BECs) offer the potential to examine quantum behavior at large length and time scales, as well as forming promising candidates for quantum technology applications. Thus, the manipulation of BECs using control…

Quantum Physics · Physics 2016-05-25 David Hocker , Julia Yan , Herschel Rabitz

The Gaia mission offers a new opportunity to search for the low frequency gravitational wave background using astrometric measurements. In this paper, the astrometric effect of gravitational waves is reviewed, with a particular focus on the…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Deyan P. Mihaylov , Christopher J. Moore , Jonathan R. Gair , Anthony Lasenby , Gerard Gilmore

We study the dynamics of vortex dipoles in erbium ($^{168}$Er) and dysprosium ($^{164}$Dy) dipolar Bose-Einstein condensates (BECs) by applying an oscillating blue-detuned laser (Gaussian obstacle). For observing vortex dipoles, we solve a…

Quantum Gases · Physics 2018-09-21 S. Sabari , R. Kishor Kumar

We study the dynamics of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice in the limit of weak atom-atom interactions. Numerically we find that a BEC may develop a pulsating instability in which atoms nearly…

Other Condensed Matter · Physics 2009-09-29 Uttam Shrestha

Atomic Bose-Einstein condensates (BECs) can be viewed as macroscopic objects where atoms form correlated atom clusters to all orders. Therefore, the presence of a BEC makes the direct use of the cluster-expansion approach --- lucrative e.g.…

Quantum Gases · Physics 2015-07-08 M. Kira

We study analytically and numerically the generation of shock waves in a quasi one-dimensional Bose-Einstein condensate (BEC) made of dilute and ultracold alkali-metal atoms. For the BEC we use an equation of state based on a 1D…

Pattern Formation and Solitons · Physics 2016-03-30 Luca Salasnich

We study a Bose-Einstein condensate (BEC) at low energy limit and show that their collective dynamics exhibit interesting topological behavior. The system undergoes dynamical topological phase transition at its global periods if its…

Quantum Physics · Physics 2019-12-04 Mehdi Abdi

Self-gravitating Bose-Einstein condensates (BEC) have been proposed in various astrophysical contexts, including Bose-stars and BEC dark matter halos. These systems are described by a combination of the Gross-Pitaevskii and Poisson…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Viktor T. Toth

When vortices are displaced in Bose-Einstein condensates (BEC), the Magnus force gives the system a momentum transverse in the direction to the displacement. We show that Bose-Einstein condensates (BEC) in long channels with vortices…

Quantum Gases · Physics 2016-05-04 Tim Byrnes , Jonathan P. Dowling

Bose-Einstein condensates have been the subject of intense research in recent years due to their potential applications in quantum computing and many other areas. However, measuring the shape and size of out-of-equilibrium Bose-Einstein…

Quantum Gases · Physics 2024-03-20 J. P. G. Venassi , V. S. Bagnato , G. D. Telles

We study the mechanisms of the gravitational collapse of the Bose-Einstein condensate dark matter halos, described by the zero temperature time-dependent nonlinear Schr\"odinger equation (the Gross-Pitaevskii equation), with repulsive…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Tiberiu Harko