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Bose--Einstein condensation of a finite number of photons propagating inside a plasma-filled microcavity is investigated. The nonzero chemical potential is provided by the electrons, which induces a finite photon mass allowing condensation…

Plasma Physics · Physics 2023-07-26 J. L. Figuiredo , H. Terças , J. T. Mendonça

The shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the scattering length `a' is computed for given particle density `n.' Variational perturbation theory is used to resum…

Statistical Mechanics · Physics 2007-05-23 Boris Kastening

We derive a description of the spatially inhomogeneous Bose-Einstein condensate which treats the system locally as a homogeneous system. This approach, similar to the Thomas-Fermi model for the inhomogeneous many-particle fermion system, is…

Condensed Matter · Physics 2009-10-28 E. Timmermans , P. Tommasini , K. Huang

We study the Bose-Einstein condensation in non-extensive statistics for a free gas of bosons, and extend the results to the non-relativistic case as well. We present results for the dependence of the critical temperature and the condensate…

Quantum Gases · Physics 2021-10-27 E. Megias , V. S. Timóteo , A. Gammal , A. Deppman

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

To investigate the phenomenon of Bose-Einstein condensation in perfect crystals a hierarchy of equations for reduced density matrices that describes a thermodynamically equilibrium quantum system is employed, the hierarchy being obtained…

Quantum Physics · Physics 2012-03-20 V. A. Golovko

We study the equilibrium dynamics of a weakly interacting Bose-Einstein condensate trapped in a box. In our approach we use a semiclassical approximation similar to the description of a multi-mode laser. In dynamical equations derived from…

Condensed Matter · Physics 2015-06-24 K. Goral , M. Gajda , K. Rzazewski

A simple pedagogical introduction to the effective action method of quantum field theory is given at a level suitable for beginning postgraduate students. It is shown how to obtain the effective potential at zero temperature from a…

Statistical Mechanics · Physics 2008-02-03 David J. Toms

Using magnetically trapped atomic hydrogen as an example, we investigate the prospects of achieving Bose-Einstein condensation in a dilute Bose gas. We show that, if the gas is quenched sufficiently far into the critical region of the phase…

Condensed Matter · Physics 2007-05-23 H. T. C. Stoof

The necessity of accurately taking into account the existence of nonequivalent operator representations, associated with canonical transformations, is discussed. It is demonstrated that Bose systems in the presence of the Bose-Einstein…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

Condensed Matter · Physics 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

We discuss the stability of a homogeneous two-dimensional Bose gas at finite temperature against formation of isolated vortices. We consider a patch of several healing lengths in size and compute its free energy using the Euclidean…

Quantum Gases · Physics 2010-04-27 Esteban Calzetta , Kwan-yuet Ho , B. L. Hu

On the basis of a macroscopic ground state population it was argued recently that Bose-Einstein condensation should occur in a one-dimensional harmonic potential. We examine this situation by drawing analogies to Bosons in a two-dimensional…

Statistical Mechanics · Physics 2009-10-25 Gert-Ludwig Ingold , Astrid Lambrecht

We analyze the possibility of Bose-Einstein condensation (BEC) at finite temperature in the spin-boson model within the frameworks of functional integral representations and the resolvent algebra. Because a sesquilinear form arising from…

Mathematical Physics · Physics 2026-05-07 Yoshitsugu Sekine

Bose-Einstein condensates in a double-well potential contain the essential ingredients to study many-body systems within a rich classical phase-space that includes an unstable point and a separatrix. Employing a selfconsistent finite…

Quantum Physics · Physics 2025-02-28 D. J. Nader , E. Serrano-Ensástiga

We consider the grand canonical thermodynamics of a noninteracting scalar field in a static spacetime. We take the nonrelativistic limit of thermodynamic quantities in a way that leaves the curved structure of the background geometry…

General Relativity and Quantum Cosmology · Physics 2018-05-24 Levent Akant , Birses Debir , İ. Çağrı İşeri

Size-invariant shape transformation is a geometric technique that allows for a clear separation between quantum size and shape effects by modifying the shape of the confinement domain without altering its size. The impact of shape on the…

Quantum Gases · Physics 2024-12-31 Cem Kurt , Altug Sisman , Alhun Aydin

Out of thermal equilibrium, bosonic quantum systems can Bose-condense away from the ground state, featuring a macroscopic occupation of an excited state or even of multiple states in the so-called Bose-selection scenario. In previous work,…

Quantum Gases · Physics 2024-09-12 Francesco Petiziol , André Eckardt

Our understanding of various states of matter usually relies on the assumption of thermodynamic equilibrium. However, the transitions between different phases of matter can be strongly affected by non-equilibrium phenomena. Here we…

Quantum Gases · Physics 2013-05-03 Alexander L. Gaunt , Richard J. Fletcher , Robert P. Smith , Zoran Hadzibabic

We investigate the phenomenon of Bose-Einstein condensation in ideal bosonic gases confined to axially-symmetric surfaces of revolution. The single-particle Schr\"odinger equation is formulated on a general surface and then explicitly…

Quantum Gases · Physics 2025-08-05 A. Tononi , G. E. Astrakharchik