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We study the generation of two-mode entanglement in a two-component Bose-Einstein condensate trapped in a double-well potential. By applying the Holstein-Primakoff transformation, we show that the problem is exactly solvable as long as the…

Quantum Physics · Physics 2009-11-10 H. T. Ng , P. T. Leung

We consider quasi-two-dimensional atomic/molecular Bose-Einstein condensates with both contact and dipole-dipole interactions. It is shown that, as a consequence of the dimensional reduction, and within mean-field theory, the condensates do…

Other Condensed Matter · Physics 2007-05-23 Uwe R. Fischer

The equilibrium and stability properties of a coupled two-component BEC is studied using a variational method and the one-dimensional model of Williams and collaborators. The variational parameters are the population fraction, translation…

Condensed Matter · Physics 2009-11-07 Chi-Yong Lin , E. J. V. de Passos , M. S. Hussein , Da-Shin Lee , A. F. R. de Toledo Piza

The influence of the HBT effect on the momentum spectra of independently produced pions is studied using the method developed earlier for discussion of multiplicity distributions. It is shown that in this case all the spectra and…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Bialas , K. Zalewski

The momentum distribution function of a parabolically confined gas of bosons with harmonic interparticle interactions is derived. In the Bose-Einstein condensation region, this momentum distribution substantially deviates from a…

Quantum Physics · Physics 2007-05-23 J. Tempere , F. Brosens , L. F. Lemmens , J. T. Devreese

We introduce the notion of symmetric covariation, which is a new measure of dependence between two components of a symmetric $\alpha$-stable random vector, where the stability parameter $\alpha$ measures the heavy-tailedness of its…

Statistics Theory · Mathematics 2021-05-20 Yujia Ding , Qidi Peng

A theoretical treatment of the static structure factor $S(k)$ of a Bose gas is attempted. The low order expansion theory is implemented for the construction of the two body density distribution, while various trial functions for the radial…

Other Condensed Matter · Physics 2009-11-10 Ch. C. Moustakidis

We study theoretically the collective dynamics of rotational excitations of polar molecules loaded into an optical lattice in two dimensions. These excitations behave as hard-core bosons with a relativistic energy dispersion arising from…

Quantum Gases · Physics 2014-08-29 M. P. Kwasigroch , N. R. Cooper

Identical particle correlations at fixed multiplicity are considered by means of quantum canonical ensemble of finite systems. We calculate one-particle momentum spectra and two-particle Bose-Einstein correlation functions in the ideal gas…

Nuclear Theory · Physics 2016-08-24 S. V. Akkelin , Yu. M. Sinyukov

We present detailed calculations about the expected shape of two-pion Bose-Einstein (or HBT) correlations in high energy heavy ion collisions that include a realistic treatment of final state Coulomb interaction as well as strong…

High Energy Physics - Phenomenology · Physics 2023-09-27 D. Kincses , M. I. Nagy , M. Csanád

Bose-Einstein correlations of pairs of identical charged pions produced in hadronic Z decays are analyzed in terms of various parametrizations. A good description is achieved using a Levy stable distribution in conjunction with a…

High Energy Physics - Experiment · Physics 2008-11-26 T. Novak , T. Csorgo , W. Kittel , W. J. Metzger

Context: Two-point correlation functions are used throughout cosmology as a measure for the statistics of random fields. When used in Bayesian parameter estimation, their likelihood function is usually replaced by a Gaussian approximation.…

Cosmology and Nongalactic Astrophysics · Physics 2011-10-07 David Keitel , Peter Schneider

We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with small random width variation. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate. Our numerical solution…

Strongly Correlated Electrons · Physics 2007-05-23 S. -R. Eric Yang , Q-Han Park , J. Yeo

We calculate the dispersion relation associated with a solitary wave in a quasi-one-dimensional Bose-Einstein condensate of atoms confined in a harmonic, cylindrical trap in the limit of weak and strong interactions. In both cases, the…

Condensed Matter · Physics 2009-11-07 A. D. Jackson , G. M. Kavoulakis

We study the non-equilibrium evolution of binary Bose-Einstein condensates in the presence of weak random potential with a Gaussian correlation function using the time-dependent perturbation theory. We apply this theory to construct a…

Disordered Systems and Neural Networks · Physics 2021-12-28 Abdelaali Boudjemaa

We investigate the particle-number fluctuations due to the collective excitations created in a two-dimensional (2D) and a quasi-2D Bose-Einstein condensates (BECs) at low temperature. We find that the fluctuations display an anomalous…

Soft Condensed Matter · Physics 2009-11-07 Hongwei Xiong , Shujuan Liu , Guoxiang Huang

We measure the spatial correlation function of Bose-Einstein condensates in the cross-over region between phase-coherent and strongly phase-fluctuating condensates. We observe the continuous path from a gaussian-like shape to an…

We study the spectrum of rotating Bose-Einstein Condensates in the limit of weak repulsive interactions and present analytical and numerical results for energies and wave functions. While the low-lying states are of collective nature, the…

Condensed Matter · Physics 2009-10-31 Thomas Papenbrock , George F. Bertsch

The quasiparticle excitations and dynamical stability of an atomic Bose-Einstein condensate coupled to a quantum degenerate Fermi gas of atoms at zero temperature is studied. The Fermi gas is assumed to be either in the normal state or to…

Soft Condensed Matter · Physics 2009-11-07 C. P. Search , H. Pu , W. Zhang , P. Meystre

Bose-Einstein correlations are being exploited to obtain information about the structure of the sources of hadrons in multiple particle production processes. In this paper the principles of this approach are described and some of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kacper Zalewski