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We simulate a trapped quasi-two-dimensional Bose gas using a classical field method. To interpret our results we identify the uniform Berezinskii-Kosterlitz-Thouless (BKT) temperature $T_{BKT}$ as where the system phase space density…

Other Condensed Matter · Physics 2011-08-31 R. N. Bisset , M. J. Davis , T. P. Simula , P. B. Blakie

We study the quasi-two-dimensional Bose gas in harmonic traps at temperatures above the Kosterlitz-Thouless transition, where the gas is in the normal phase. We show that mean-field theory takes into account the dominant interaction effects…

Quantum Gases · Physics 2013-05-29 Markus Holzmann , Maguelonne Chevallier , Werner Krauth

The Bose-Einstein condensation of correlated atoms in a trap is studied by examining the effect of inter-particle correlations to one-body properties of atomic systems at zero temperature using a simplified formula for the correlated two…

Soft Condensed Matter · Physics 2009-11-07 Ch. C. Moustakidis , S. E. Massen

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

Statistical Mechanics · Physics 2015-06-25 Sang-Hoon Kim

A basic challenge in experimental physics is the extraction of information related to variables that are not directly measured. The challenge is particularly severe in quantum systems where one may be interested in correlations of operators…

Quantum Gases · Physics 2026-04-13 Jackson Lee , Andrew J Millis

We examine the feasibility of creating and measuring large relative number squeezing in multicomponent trapped Bose-Einstein condensates. In the absence of multimode effects, this squeezing can be arbitrarily large for arbitrarily large…

Quantum Physics · Physics 2015-06-16 Mattias T Johnsson , Graham R Dennis , Joseph J Hope

We consider two characteristic temperatures for a Bose-Einstein condensate, that are related to certain properties of the condensate statistics. We calculate them for an ideal gas confined in power-law traps and show that they approach the…

Statistical Mechanics · Physics 2009-11-10 Z. Idziaszek , K. Rzazewski

We study the Bose-Einstein condensation (BEC) for a system of $^7Li$ atoms, which have negative scattering length (attractive interaction), confined in a harmonic potential. Within the Bogoliubov and Popov approximations, we numerically…

Condensed Matter · Physics 2007-05-23 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

A model for studying atomtronic devices and circuits based on finite temperature Bose-condensed gases is presented. The approach involves numerically solving equations of motion for atomic populations and coherences, derived using the…

Atomic Physics · Physics 2016-08-29 Weng W. Chow , Cameron J. E. Straatsma , Dana Z. Anderson

We discuss the quasi two-dimensional trapped Bose gas where the thermal occupation of excited states in the tightly confined direction is small but remains finite in the thermodynamic limit. We show that the semiclassical theory describes…

Statistical Mechanics · Physics 2009-11-13 Markus Holzmann , Maguelonne Chevallier , Werner Krauth

We describe the method allowing quantitative interpretation of absorptive images of mixtures of BEC and thermal atoms which reduces possible systematic errors associated with evaluation of the contribution of each fraction. By using known…

Other Condensed Matter · Physics 2015-05-13 J. Szczepkowski , R. Gartman , M. Witkowski , L. Tracewski , M. Zawada , W. Gawlik

Entanglement-based technologies, such as quantum information processing, quantum simulations, and quantum-enhanced metrology, have the potential to revolutionise our way of computing and measuring and help clarifying the puzzling concept of…

We theoretically examine equilibrium properties of the harmonically trapped ideal Bose and Fermi gases in the quantum degeneracy regime. We analyze thermodynamic characteristics of gases with a finite number of atoms by means of the known…

Quantum Gases · Physics 2021-12-06 Valeriia Bilokon , Elvira Bilokon , Alexander Peletminskii , Andrii Sotnikov

We study the three-dimensional atomic Bose gas using renormalization group techniques. Using our knowledge of the microscopic details of the interatomic interaction, we determine the correct initial values of our renormalization group…

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

Bose-Einstein condensation (BEC) of an ideal gas is investigated, beyond the thermodynamic limit, for a finite number $N$ of particles trapped in a generic three-dimensional power-law potential. We derive an analytical expression for the…

Quantum Gases · Physics 2019-04-04 Amine Jaouadi , Mourad Telmini , Eric Charron

An overview of the Bose-Einstein condensation of correlated atoms in a trap is presented by examining the effect of interparticle correlations to one- and two-body properties of the above systems at zero temperature in the framework of the…

Other Condensed Matter · Physics 2007-05-23 K. Ch. Chatzisavvas , S. E. Massen , Ch. C. Moustakidis , C. P. Panos

This article reviews recent investigations on the phenomenon of Bose-Einstein condensation of dilute gases. Since the experimental observation of quantum degeneracy in atomic gases, the research activity in the field of coherent…

Soft Condensed Matter · Physics 2007-05-23 Ph. W. Courteille , V. S. Bagnato , V. I. Yukalov

We develop machine learning techniques for estimating physical properties of laser-cooled potassium-39 atoms in a magneto-optical trap using only the scattered light -- i.e., fluorescence -- that is intrinsic to the cooling process. In-situ…

Atomic Physics · Physics 2025-10-01 G. De Sousa , M. Doris , D. D'Amato , B. Egleston , J. P. Zwolak , I. B. Spielman

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

Statistical Mechanics · Physics 2007-05-23 L. Pricoupenko