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The time-dependent extended Gross-Pitaevskii equation for Bose-Einstein condensates with attractive 1/r interaction is investigated with both a variational approach and numerically exact calculations. We show that these condensates exhibit…

Quantum Physics · Physics 2008-07-12 Holger Cartarius , Tomaž Fabčič , Jörg Main , Günter Wunner

We present a kinetic description of Bose-Einstein condensation for particle systems being out of thermal equilibrium, which may happen for gluons produced in the early stage of ultra-relativistic heavy-ion collisions. The dynamics of bosons…

High Energy Physics - Phenomenology · Physics 2017-08-02 Kai Zhou , Zhe Xu , Pengfei Zhuang , Carsten Greiner

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous…

Mathematical Physics · Physics 2007-05-23 J. Lauwers , A. Verbeure , V. A. Zagrebnov

We present a study for the dispersion relation and character of the excitations of a single and two component Bose Einstein Condensate (BEC). We study the single component dispersion for a finite BEC system and look at examples of…

Quantum Gases · Physics 2014-05-07 Christopher Ticknor

A statistical method for the estimation of spatial correlation lengths of Gaussian-shaped fluctuating signals with two measurement points is examined to quantitatively evaluate its reliability (variance) and accuracy (bias error). The…

Plasma Physics · Physics 2016-08-24 Jaewook Kim , Y. U. Nam , M. Lampert , Y. -c. Ghim

We introduce a model of a two-core system, based on an equation of the Ginzburg-Landau (GL) type, coupled to another GL equation, which may be linear or nonlinear. One core is active, featuring intrinsic linear gain, while the other one is…

Pattern Formation and Solitons · Physics 2009-11-10 H. Sakaguchi , B. Malomed

We argue that the secondaries produced in high energy hadron collisions are emitted by small size sources distributed over a much larger area in impact parameter space occupied by the interaction amplitude. That is, Bose-Einstein…

High Energy Physics - Phenomenology · Physics 2016-05-04 V. A. Khoze , A. D. Martin , M. G. Ryskin , V. A. Schegelsky

By extending Einstein's separation of wave and particle parts of the second order thermal fluctuation to encompass "generalized fluctuations" in any Bose field, P. E. Gordon has proposed alternative definitions for nth order coherence and…

Quantum Physics · Physics 2007-05-23 N. M. Chase

General theory in case of homogenous Bose-Einstein condensed systems with spinor condensate is presented for the correlation functions of density and spin fluctuations and for the one-particle propagators as well. The random phase…

Statistical Mechanics · Physics 2009-10-31 Peter Szepfalusy , Gergely Szirmai

The excitations of a two-dimensional (2D) Bose-Einstein condensate in the presence of a soliton are studied by solving the Kadomtsev-Petviashvili equation which is valid when the velocity of the soliton approaches the speed of sound. The…

Superconductivity · Physics 2009-11-13 Shunji Tsuchiya , Franco Dalfovo , Lev P. Pitaevskii

A generalization of the core/halo model to the Bose-Einstein correlation function of any number of particles is presented. In particular, a simple prediction is obtained for the intercept parameter of the n-particle inclusive Bose-Einstein…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. Csorgo

Bose-condensed gases are considered with an effective interaction strength varying in the whole range of the values between zero and infinity. The consideration is based on the usage of a representative statistical ensemble for Bose systems…

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

We formalise and generalise the definition of the family of univariate double two--piece distributions, obtained by using a density--based transformation of unimodal symmetric continuous distributions with a shape parameter. The resulting…

Methodology · Statistics 2015-08-07 F. J. Rubio , M. F. J. Steel

Let $X_{i,n},n\in \mathbb{N},1\leq i\leq n$, be a triangular array of independent $\mathbb{R}^d$-valued Gaussian random vectors with correlation matrices $\Sigma_{i,n}$. We give necessary conditions under which the row-wise maxima converge…

Probability · Mathematics 2015-04-08 Sebastian Engelke , Zakhar Kabluchko , Martin Schlather

We propose extension of the numerical method to model effect of Bose-Einstein correlations (BEC) observed in hadronization processes which allows for calculations not only correlation functions $C_2(Q_{inv})$ (one-dimensional) but also…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

The impact of interparticle correlations on the behavior of Bose-Einstein Condensates (BECs) is discussed using two approaches. In the first approach, the wavefunction of a BEC is encoded in the $N$-particle sector of an extended "catalytic…

Quantum Gases · Physics 2015-02-25 Zhang Jiang

The study of structures involving vortices in one component and bright solitary waves in another has a time-honored history in two-component atomic Bose-Einstein condensates. In the present work, we revisit this topic extending…

Pattern Formation and Solitons · Physics 2025-03-24 J. D'Ambroise , W. Wang , C. Ticknor , R. Carretero-González , P. G. Kevrekidis

The theory for Bose-Einstein correlations in case of neutral gauge bosons in $pp$ collisions at high energies is presented. Based on quantum field theory at finite temperature the two-particle Bose-Einstein correlations of neutral gauge…

High Energy Physics - Phenomenology · Physics 2009-04-17 G. A. Kozlov

Gaussian distribution is commonly used as a good approximation to study the trapped one-component Bose-condensed atoms with relatively small nonlinear effect. It is not adequate in dealing with the one-component system of large nonlinear…

Other Condensed Matter · Physics 2009-11-11 C. C. Huang , W. C. Wu

Position distributions of constituent particles of the perfect Bose-gas trapped in exponentially and polynomially anisotropic boxes are investigated by means of the boson random point fields (processes) and by the spatial random…

Mathematical Physics · Physics 2012-07-10 Hiroshi Tamura , Valentin A. Zagrebnov