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The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting…

Mathematical Physics · Physics 2009-11-07 Elliott H. Lieb , Robert Seiringer

We present a method of finding approximate analytical solutions for the spectra and eigenvectors of collective modes in a two-dimensional system of interacting bosons subjected to a linear external potential or the potential of a special…

Soft Condensed Matter · Physics 2009-10-31 D. V. Fil , S. I. Shevchenko

The Bose-Einstein condensation (BEC) of photons has been realized in one- and two-dimensional systems. When considering the influence of finite-size effect, the condensation in the one-dimensional fibre is of special interest since such a…

Statistical Mechanics · Physics 2021-11-02 Zhi-Jie Liu , Mi Xie

A linear response framework is set up for the evaluation of collective excitations in a confined vapour of interacting Bose atoms at finite temperature. Focusing on the currently relevant case of contact interactions between the atoms, the…

Statistical Mechanics · Physics 2009-10-30 A. Minguzzi , M. P. Tosi

Most boson emitting sources contain a core of finite dimensions surrounded by a large halo, due to long-lived resonances like $\omega,\eta,\eta',K^{0}$ etc. When the Bose-Einstein correlation (BEC) function of the core can be determined we…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Lorstad

We study the finite size effects on Bose-Einstein condensation (BEC) of an ideal non-relativistic Bose gas in the three-sphere (spatial section of the Einstein universe) and in a partially finite box which is infinite in two of the spatial…

Quantum Gases · Physics 2013-05-06 J. M. B. Noronha , D. J. Toms

We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (repulsive) point potential with impurities which are randomly…

Mathematical Physics · Physics 2019-02-07 Joachim Kerner , Maximilian Pechmann , Wolfgang Spitzer

The Bose-Einstein condensation (BEC) of magnons created by a strong pumping in ferromagnetic thin films of yttrium iron garnet used as systems of finite size is considered analytically. Such a peculiarity, typical for this magnetic…

Quantum Gases · Physics 2014-01-21 A. I. Bugrij , V. M. Loktev

We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the standard BEC formulas due to a weak nonextensivity of the system.…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in…

Mathematical Physics · Physics 2021-01-01 Maximilian Pechmann

Long-range correlation plays an important role in analyses of pionic Bose-Einstein correlations (BECs). In many cases, such correlations are phenomenologically introduced. In this investigation, we propose an analytic form. By making use of…

High Energy Physics - Phenomenology · Physics 2021-02-23 Takuya Mizoguchi , Minoru Biyajima

We study the filling of states in a pure hopping boson model on the comb lattice, a low dimensional discrete structure where geometrical inhomogeneity induces Bose-Einstein condensation (BEC) at finite temperature. By a careful analysis of…

Condensed Matter · Physics 2009-11-07 P. Buonsante , R. Burioni , D. Cassi , A. Vezzani

In QCD at large enough isospin chemical potential Bose-Einstein Condensation (BEC) takes place, separated from the normal phase by a phase transition. From previous studies the location of the BEC line at the physical point is known. In the…

High Energy Physics - Lattice · Physics 2023-01-23 Bastian B. Brandt , Volodymyr Chelnokov , Francesca Cuteri , Gergely Endrődi

We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-field limits, which are given by the Gibbs…

Mathematical Physics · Physics 2020-05-20 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

It is well known that using the conventional non-Hermitian but ${\cal PT}-$symmetric Bose-Hubbard Hamiltonian with real spectrum one can realize the Bose-Einstein condensation (BEC) process in an exceptional-point limit of order $N$. Such…

Quantum Physics · Physics 2021-09-09 Miloslav Znojil

This paper provides, firstly, a succinct mathematical derivation of Bose-Einstein condensation (BEC) of photons elaborating on previous results [M\"uller, E.E., Annals of Phys. 184, 219-230 (1988); M\"uller, E.E. Physica 139A, 165-174…

Quantum Physics · Physics 2019-11-27 Eberhard E. Müller

We study a Bose-Einstein condensate (BEC) of a dilute gas with dipolar interactions, at finite temperature, using the Hartree-Fock-Bogoliubov (HFB) theory within the Popov approximation. An additional approximation involving the dipolar…

Statistical Mechanics · Physics 2009-11-13 Shai Ronen , John Bohn

The phase transitions at finite temperatures in the systems described by the Bose-Fermi-Hubbard model are investigated in this work in the framework of the selfconsistent random phase approximation. The case of the hard-core bosons is…

Other Condensed Matter · Physics 2010-09-07 T S Mysakovych

We develop our novel model of cosmology based on the Bose-Einstein condensation. This model unifies the Dark Energy and the Dark Matter, and predicts multiple collapse of condensation, followed by the final acceleration regime of cosmic…

Astrophysics · Physics 2009-06-23 Takeshi Fukuyama , Masahiro Morikawa , Takayuki Tatekawa

A recently obtained exact analytic solution to the wave-packet version of the pion-laser model is presented. In the rare gas limit, a thermal behaviour is found while the dense gas limiting case corresponds to Bose-Einstein condensation of…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo , J. Zimanyi