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We study the charged non-relativistic Bose gas interacting with a constant magnetic field but which is otherwise free. The notion of Bose-Einstein condensation for the three dimensional case is clarified, and we show that although there is…

Statistical Mechanics · Physics 2009-10-30 Guy B. Standen , David J. Toms

It is shown for the Bose-Einstein condensate of cold atomic system that the new unperturbed Hamiltonian, which includes not only the first and second powers of the zero mode operators but also the higher ones, determines a unique and…

Quantum Gases · Physics 2014-01-21 Yusuke Nakamura , Junichi Takahashi , Yoshiya Yamanaka

We study condensation transitions in the steady state of a zero-range process with two species of particles. The steady state is exactly soluble -- it is given by a factorised form provided the dynamics satisfy certain constraints -- and we…

Statistical Mechanics · Physics 2009-11-10 T. Hanney , M. R. Evans

A recently developed efficient recursive approach for analytically calculating the short-time evolution of the one-particle propagator to extremely high orders is applied here for numerically studying the thermodynamical and dynamical…

Quantum Gases · Physics 2010-03-10 Antun Balaz , Ivana Vidanovic , Aleksandar Bogojevic , Axel Pelster

A simple second quantization model is used to describe a two-mode Bose-Einstein condensate (BEC), which can be written in terms of the generators of a SU(2) algebra with three parameters. We study the behaviour of the entanglement entropy…

Quantum Gases · Physics 2013-08-02 Citlali Perez Campos , Jose R. Gonzalez Alonso , Octavio Castanos , Ramon Lopez

Correlations among identical bosons, which are familiar from statistical physics, play an increasingly important role in high energy multiple particle production processes. They provide information about the region, where the particles are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kacper Zalewski

We reconcile a long-standing controversy regarding the transition temperature of the Bose-Einstein condensation in a dilute interacting Bose gas, by showing that there is a crossover between ideal gas and interacting gas. The former…

Statistical Mechanics · Physics 2007-08-17 Kersion Huang

It is shown that Bose-Einstein condensation occurs for an ideal gas in two spatial dimensions in the presence of one impurity which is described quantum mechanically in terms of a point-like vortex and a contact interaction. This model is…

Statistical Mechanics · Physics 2009-10-31 Paola Giacconi , Fabio Maltoni , Roberto Soldati

A simple method has been introduced to derive the all order quantum corrected Bose-Einstein distribution as the solution of the Wigner equation. The process is a perturbative one where the Bose-Einstein distribution has been taken as the…

Statistical Mechanics · Physics 2018-03-01 Anirban Bose

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

Quantum Physics · Physics 2012-12-27 Alexej Schelle

Bose-Einstein condensation, the macroscopic occupation of a single quantum state, appears in equilibrium quantum statistical mechanics and persists also in the hydrodynamic regime close to equilibrium. Here we show that even when a…

Statistical Mechanics · Physics 2013-12-31 Daniel Vorberg , Waltraut Wustmann , Roland Ketzmerick , André Eckardt

The partition function of a bosonic Riemann gas is given by the Riemann zeta function. We assume that the hamiltonian of this gas at a given temperature $\beta^{-1}$ has a random variable $\omega$ with a given probability distribution over…

Mathematical Physics · Physics 2014-12-23 J. G. Dueñas , N. F. Svaiter

The Kompaneets equation describes a field of photons exchanging energy by Compton scattering with the free electrons of a homogeneous, isotropic, non-relativistic, thermal plasma. This paper strives to advance our understanding of how this…

Analysis of PDEs · Mathematics 2015-12-23 C. David Levermore , Hailiang Liu , Robert L. Pego

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 investigate the Bose-Einstein Condensation on nonhomogeneous amenable networks for the model describing arrays of Josephson junctions. The resulting topological model, whose Hamiltonian is the pure hopping one given by the opposite of…

Operator Algebras · Mathematics 2011-06-23 Francesco Fidaleo , Daniele Guido , Tommaso Isola

A numerical experiment based on a particle number-conserving quantum field theory is performed for two initially independent Bose-Einstein condensates that are coherently coupled at two temperatures. The present model illustrates ab initio…

Quantum Gases · Physics 2024-08-31 Alexej Schelle

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

A system of traps is considered, each containing a large number of Bose-condensed atoms. This ensemble of traps is subject to the action of an external modulating field generating nonequilibrium nonground-state condensates. When the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

We investigate non-equilibrium steady states of driven-dissipative ideal quantum gases of both bosons and fermions. We focus on systems of sharp particle number that are driven out of equilibrium either by the coupling to several heat baths…

Properties of spin-1 Bose gases with ferromagnetic interaction in the presence of a nonzero magnetic field are studied. The equation of state and thermodynamic quantities are worked out with the help of a mean-field approximation. The phase…

Other Condensed Matter · Physics 2007-05-23 Krisztian Kis-Szabo , Peter Szepfalusy , Gergely Szirmai
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