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We describe the transition of $N$ weakly interacting atoms into a Bose-Einstein condensate within a number-conserving quantum master equation theory. Based on the separation of time scales for condensate formation and non-condensate…

Quantum Physics · Physics 2015-05-19 Alexej Schelle , Thomas Wellens , Dominique Delande , Andreas Buchleitner

Bose-Einstein condensation represents a remarkable phase transition, characterized by the formation of a single quantum subsystem. As a result, the statistical properties of the condensate are highly unique. In the case of a Bose gas, while…

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

We report observation of Bose-Einstein condensation of a trapped, dilute gas of atomic hydrogen. The condensate and normal gas are studied by two-photon spectroscopy of the 1S-2S transition. Interactions among the atoms produce a shift of…

In the weakly non-ideal gas model [1], the Bose-Einstein condensation at constant pressure is considered. The temperature of transition to the state with condensate is found. Temperature dependences of the total density and condensate…

Quantum Gases · Physics 2024-11-26 Yu. M. Poluektov

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

Bose-Einstein condensation, observed in either strongly interacting liquid helium or weakly interacting atomic Bose gases, is widely known to be a second-order phase transition. Here, we predict a first-order Bose-Einstein condensation in a…

Quantum Gases · Physics 2022-01-21 Hui Hu , Zeng-Qiang Yu , Jia Wang , Xia-Ji Liu

Bose-Einstein condensation happens as a gas of bosons is cooled below its transition temperature, and the ground state becomes macroscopically occupied. The phase transition occurs in the thermodynamic limit of many particles. However,…

Quantum Gases · Physics 2023-03-24 Fredrik Brange , Tuomas Pyhäranta , Eppu Heinonen , Kay Brandner , Christian Flindt

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

Bose-Einstein condensation is unique among phase transitions between different states of matter in the sense that it occurs even in the absence of interactions between particles. In Einstein's textbook picture of an ideal gas, purely…

We provide a detailed description of the nonequilibrium time evolution of an interacting homogeneous Bose-Einstein condensate. We use a nonperturbative in-medium quantum field theory approach as a microscopic model for the Bose gas. The…

Soft Condensed Matter · Physics 2007-05-23 D. G. Barci , E. S. Fraga , Rudnei O. Ramos

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

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

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 Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its container by the nucleation of quantized vortices. If the trapping potential is su ciently strong, there is no theoretical limit to the rotation…

Quantum Gases · Physics 2019-10-01 Michele Correggi , Florian Pinsker , Nicolas Rougerie , Jakob Yngvason

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

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

The dynamics of a coupled Bose-Einstein condensate involving trapped atoms in two quantum states is studied using the time-dependent Gross-Pitaevskii equation including an interaction which can transform atoms from one state to the other.…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We calculate certain features of Bose-Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain properties of the condensate that are…

Statistical Mechanics · Physics 2016-08-16 W. J. Mullin , J. P. Fernández

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

Mathematical Physics · Physics 2015-09-16 Dionisios Margetis
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