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We study a recent model of random networks based on the presence of an intrinsic character of the vertices called fitness. The vertices fitnesses are drawn from a given probability distribution density. The edges between pair of vertices…

Statistical Mechanics · Physics 2022-12-22 Vito D. P. Servedio , Guido Caldarelli , Paolo Butta`

We show that stimulated scattering of an isolated system of N Bose particles with initially broad energy distribution can yield condensation of particles into excited collective state in which most of the bosons occupy one or several modes.…

Quantum Gases · Physics 2026-03-31 Anatoly A. Svidzinsky , Luqi Yuan , Marlan O. Scully

A simple model wavefunction, consisting of a linear combination of two free-particle Gaussians, describes many of the observed features seen in the interactions of two isolated Bose-Einstein condensates as they expand, overlap, and…

Quantum Physics · Physics 2015-06-26 R. W. Robinett

We investigate vortex excitations in dilute Bose-Einstein condensates in the presence of complex $\mathcal{PT}$-symmetric potentials. These complex potentials are used to describe a balanced gain and loss of particles and allow for an…

Quantum Physics · Physics 2017-05-16 Lukas Schwarz , Holger Cartarius , Ziad H. Musslimani , Jörg Main , Günter Wunner

A generic class of scalar active matter, characterized at the mean field level by the diffusivity vanishing above some threshold density, was recently introduced [Golestanian R 2019 Phys. Rev. E 100 010601(R)]. In the presence of harmonic…

Statistical Mechanics · Physics 2020-08-26 Benoît Mahault , Ramin Golestanian

We demonstrate theoretically the use of genetic learning algorithms to coherently control the dynamics of a Bose-Einstein condensate. We consider specifically the situation of a condensate in an optical lattice formed by two…

Soft Condensed Matter · Physics 2009-11-07 S. Potting , M. Cramer , P. Meystre

Three models of growing random networks with fitness dependent growth rates are analysed using the rate equations for the distribution of their connectivities. In the first model (A), a network is built by connecting incoming nodes to nodes…

Statistical Mechanics · Physics 2009-11-07 G. Ergun , G. J. Rodgers

We study the generation of vortices in rotating Bose--Einstein condensates, a situation which has been realized in a recent experiment (K. W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Phys. Rev. Lett. {\bf 84} 806 (2000)). By combining…

Condensed Matter · Physics 2007-05-23 Juan J. Garcia-Ripoll , Victor M. Perez-Garcia

A detailed analysis of the growth of a BEC is given, based on quantum kinetic theory, in which we take account of the evolution of the occupations of lower trap levels, and of the full Bose-Einstein formula for the occupations of higher…

Condensed Matter · Physics 2009-10-31 M. D. Lee , C. W. Gardiner

Starting from the equations of rotational hydrodynamics we study the macroscopic behaviour of a trapped Bose-Einstein condensate containing a large number of vortices. The stationary configurations of the system, the frequencies of the…

Soft Condensed Matter · Physics 2009-11-07 Marco Cozzini , Sandro Stringari

Disorder plays a crucial role in spin dynamics in solids and condensed matter systems. We demonstrate that for a spin-orbit coupled Bose-Einstein condensate in a random potential two mechanisms of spin evolution, that can be characterized…

Quantum Gases · Physics 2015-11-17 S. Mardonov , M. Modugno , E. Ya. Sherman

Based on the time-dependent Gross-Pitaevskii equation we study the evolution of a collapsing and exploding Bose-Einstein condensate in different trap symmetries to see the effect of confinement on collapse and subsequent explosion, which…

Other Condensed Matter · Physics 2009-11-11 Sadhan K. Adhikari

We introduce a model of a preferential attachment based random graph which extends the family of models in which condensation phenomena can occur. Each vertex has an associated uniform random variable which we call its location. Our model…

Probability · Mathematics 2020-08-12 John Haslegrave , Jonathan Jordan , Mark Yarrow

A model for growing information networks is introduced where nodes receive new links through j-redirection, i.e. the probability for a node to receive a link depends on the number of paths of length j arriving at this node. In detail, when…

Physics and Society · Physics 2012-08-31 R. Lambiotte , M. Ausloos

We find that inelastic collisional processes in Bose-Einstein condensates induce local variations of the mean-field interparticle interaction and are accompanied by the creation/annihilation of elementary excitation. The physical picture is…

Soft Condensed Matter · Physics 2009-10-31 D. Guery-Odelin , G. V. Shlyapnikov

In this study, we examine the emergence of photon Bose-Einstein condensation (BEC) resulting from the interaction of high-energy photons with a cold electron gas, modeled via a modified Kompaneets equation. Beginning with an initial…

High Energy Physics - Phenomenology · Physics 2025-08-26 Bing'ang Guo , Wei Kou , Xurong Chen

In this article we have investigated the possibility of Bose-Einstein Condensation (BEC) in a frame undergoing uniform acceleration or in other wards, in Rindler space associated with the uniformly accelerated frame. We have followed a very…

General Relativity and Quantum Cosmology · Physics 2017-11-13 Sanchita Das , Somenath Chakraborty

We present a novel experimental approach to Bose-Einstein condensation by increasing the particle number of the system at almost constant temperature. In particular the emergence of a new condensate is observed in multi-component F=1 spinor…

Soft Condensed Matter · Physics 2009-11-10 M. Erhard , H. Schmaljohann , J. Kronjäger , K. Bongs , K. Sengstock

For a system of identical Bose particles sitting on integer energy levels, we give sharp estimates for the convergence of the sequence of occupation numbers to the Bose-Einstein distribution and for the Bose condensation effect.

Probability · Mathematics 2008-12-31 V. P. Maslov , V. E. Nazaikinskii

It is shown, that Bose-Einstein statistical distributions can occur not only in quantum system, but in classical systems as well. The coherent dynamics of the system, or equivalently autocatalytic dynamics in momentum space of the system is…

Statistical Mechanics · Physics 2009-09-25 Kestutis Staliunas