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We consider the model of self-interacting complex scalar fields with a rigid gauge invariance under an arbitrary gauge group $G$. In order to analyze the phenomenon of Bose-Einstein condensation finite temperature and the possibility of a…

High Energy Physics - Theory · Physics 2016-09-06 K. Kirsten , D. J. Toms

Bose-Einstein condensation and the $\lambda$-transition are described in molecular detail for bosons interacting with a pair potential. New phenomena are identified that are absent in the usual ideal gas treatment. Monte Carlo simulations…

Statistical Mechanics · Physics 2022-01-20 Phil Attard

Classic and recent results for the critical behaviour of ideal Bose gas at constant volume and constant pressure and for various spatial dimensionalities d>0 are reviewed. New results about the critical properties in a close vicinity of the…

Statistical Mechanics · Physics 2007-05-23 Velin G. Ivanov

Particle fluctuations in mesoscopic Bose systems of arbitrary spatial dimensionality are considered. Both ideal Bose gases and interacting Bose systems are studied in the regions above the Bose-Einstein condensation temperature $T_c$ as…

Quantum Gases · Physics 2019-05-14 V. I. Yukalov

In this paper, we study the Bose-Einstein condensation of a scalar field with an attractive self-interaction, with or without gravitational interactions. We confirm through full dynamical simulation that the condensation timescale due to…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-20 Jiajun Chen , Xiaolong Du , Erik Lentz , David J. E. Marsh

We study the dynamics of two interacting Bose-Einstein condensates, by numerically solving two coupled Gross-Pitaevskii equations at zero temperature. We consider the case of a sudden transfer of atoms between two trapped states with…

Condensed Matter · Physics 2009-10-31 M. Modugno , F. Dalfovo , C. Fort , P. Maddaloni , F. Minardi

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

Analytical expressions for Bose-Einstein condensation of an ideal Bose gas analyzed within the strictures of non-extensive, generalized thermostatistics are here obtained.

Statistical Mechanics · Physics 2009-11-11 H. G. Miller , F. C. Khanna , R. Teshima , A. R. Plastino , A. Plastino

We present a new method of calculating the distribution function and fluctuations for a Bose-Einstein condensate (BEC) of N interacting atoms. The present formulation combines our previous master equation and canonical ensemble…

Statistical Mechanics · Physics 2009-11-11 Anatoly A. Svidzinsky , Marlan O. Scully

Based on the canonical ensemble, we suggested the simple scheme for taking into account Gaussian fluctuations in a finite system of ideal boson gas. Within framework of scheme we investigated the influence of fluctuations on the particle…

Statistical Mechanics · Physics 2015-06-04 A Petrova , O Nedopekin , D Tayurskii , Q A Wang

Possibility of establishment of equilibrium between the photon and the dense photon bunch is studied. In the case, when the density of plasma does not change, the condition of production of the Bose-Einstein condensate is obtained. It is…

Plasma Physics · Physics 2010-06-04 Levan N. Tsintsadze

The phenomenon of Bose-Einstein condensation is investigated in the context of the Color-Glass-Condensate description of the initial state of ultrarelativistic heavy-ion collisions. For the first time, in this paper we study the influence…

High Energy Physics - Phenomenology · Physics 2019-11-20 Richard Lenkiewicz , Alex Meistrenko , Hendrik van Hees , Kai Zhou , Zhe Xu , Carsten Greiner

We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disordered phase across an entire critical region continuously. We…

Statistical Mechanics · Physics 2015-11-27 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

A stable non ideal Bose system whose energy operator includes a perturbations depending on the square root of the number operator associated to the zero mode energy is analyzed, demonstrating that, in presence or absence of a gap in the one…

Statistical Mechanics · Physics 2020-01-07 Marco Corgini

We present the quantum theory for the nucleation of Bose-Einstein condensation in a dilute atomic Bose gas. This quantum theory comfirms the results of the semiclassical treatment, but has the important advantage that both the kinetic and…

Condensed Matter · Physics 2009-10-28 H. T. C. Stoof

Particle number fluctuations are studied in the ideal pion gas approaching Bose-Einstein condensation. Two different cases are considered: Bose condensation of pions at large charge densities $\rho_Q$ and Bose condensation at large total…

High Energy Physics - Phenomenology · Physics 2011-07-19 Viktor Begun , Mark Gorenstein

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

Bose-Einstein condensates confined in traps exhibit unique features which have been the object of extensive experimental and theoretical studies in the last few years. In this paper I will discuss some issues concerning the behaviour of the…

Condensed Matter · Physics 2009-09-25 Sandro Stringari

The piling up of a macroscopic fraction of noninteracting bosons in the lowest energy state of a system at very low temperatures is known as Bose-Einstein condensation. It took nearly 70 years to observe the condensate after their…

Statistical Mechanics · Physics 2022-03-15 Vishwa Mittar

We study the interference effects between three weakly linked trapped Bose-Einstein condensates (BEC) as a generalization of the two-component condensates. Three coupled Gross-Pitaevskii equations (GPE) are used to describe the dynamics of…

Statistical Mechanics · Physics 2009-11-07 Sun Zhang , Fan Wang
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