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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

Using quantum equations of motion for interacting bosons, stochastic molecular dynamics simulations with quantized momenta are performed for Lennard-Jones helium-4. The viscosity of the quantum liquid is significantly less than that of the…

Quantum Gases · Physics 2025-02-17 Phil Attard

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

The Bose-Einstein condensation of atoms can be conveniently formulated as a problem in thermal quantum field theory. There are many properties of the equilibrium system and its collective excitations that can be studied experimentally. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eric Braaten

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

By means of the examples of classical and Bohmian quantum mechanics, we illustrate the well-known ideas of Boltzmann as to how one gets from laws defined for the universe as a whole to dynamical relations describing the evolution of…

Quantum Physics · Physics 2016-04-05 Andrea Oldofredi , Dustin Lazarovici , Dirk-André Deckert , Michael Esfeld

Two recent studies have presented new information relevant to the transition from quantum behavior to classical behavior, and related this to parameters characterizing the universe as a whole. The present study based on a separate approach…

General Physics · Physics 2007-06-12 C. L. Herzenberg

We study the quantum corrections to the Gross-Pitaevskii equation for two weakly linked Bose-Einstein condensates. The goals are: 1) to investigate dynamical regimes at the borderline between the classical and quantum behaviour of the…

Statistical Mechanics · Physics 2016-08-31 Augusto Smerzi , Srikanth Raghavan

This paper represents the full version of a paper published earlier in Physica A [246 (1997), 275]. The present paper includes argumentation, proofs and details omitted in the shortened version. The papers are a further development of the…

Statistical Mechanics · Physics 2009-02-25 V. A. Golovko

The ubiquitous ether coming from the ancient times up to middle of the twenty century is replaced by a superfluid quantum space. It represents by itself a Bose-Einstein condensate consisting of enormous amount of virtual…

Quantum Physics · Physics 2017-07-27 Valeriy I. Sbitnev

We theoretically study the development of quantum turbulence from two counter-propagating superfluids of miscible Bose-Einstein condensates by numerically solving the coupled Gross-Pitaevskii equations. When the relative velocity exceeds a…

Quantum Gases · Physics 2010-11-29 Hiromitsu Takeuchi , Shungo Ishino , Makoto Tsubota

A closer look at some proposed Gedanken-experiments on BECs promises to shed light on several aspects of reduction and emergence in physics. These include the relations between classical descriptions and different quantum treatments of…

Quantum Physics · Physics 2015-05-14 Richard Healey

The descriptions of the quantum realm and the macroscopic classical world differ significantly not only in their mathematical formulations but also in their foundational concepts and philosophical consequences. When and how physical systems…

Quantum Physics · Physics 2008-12-02 Johannes Kofler

We propose a new theoretical formalism which describes the Bose Einstein condensation of weakly interacting bosons with finite life time interacting with a thermal bath. We show that if a quasi-thermal distribution function of particles is…

Quantum Gases · Physics 2009-11-05 G. Malpuech , D. Solnyshkov

The author supposes a capability of transition doubly excited configurations of separate atoms to a superconducting state. The conditions of this transition are determined and the experiments for its detection are offered. The capability of…

Atomic Physics · Physics 2009-01-23 V. V. Kavera

This paper reviews briefly the recent important developments in the physics of quantum turbulence (QT) in superfluid helium and atomic Bose-Einstain condensates (BECs). After giving basics of quantum hydrodynamics, we discuss energy…

Quantum Gases · Physics 2015-06-18 Makoto Tsubota

Turbulence is characterized by a large number of degrees of freedom, distributed over several length scales, that result into a disordered state of a fluid. The field of quantum turbulence deals with the manifestation of turbulence in…

Quantum Gases · Physics 2019-10-29 L. Madeira , M. A. Caracanhas , F. E. A. dos Santos , V. S. Bagnato

We reinvestigate numerically the classic problem of two-dimensional superfluid flow past an obstacle. Taking the obstacle to be elongated (perpendicular to the flow), rather than the usual circular form, is shown to promote the nucleation…

Quantum Gases · Physics 2015-06-23 G. W. Stagg , A. J. Allen , C. F. Barenghi , N. G. Parker

We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective…

Soft Condensed Matter · Physics 2009-10-31 Daniel G. Barci , E. S. Fraga , Rudnei O. Ramos

In a previous work we have exhibited a clear description of the quantum-to-classical transition of cosmological quantum fluctuations in the inflationary scenario using the de Broglie-Bohm quantum theory. These fluctuations are believed to…

General Relativity and Quantum Cosmology · Physics 2014-01-21 N. Pinto-Neto , G. B. Santos , W. Struyve