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Small deviations from purely bosonic behavior of trapped atomic Bose-Einstein condensates are investigated with the help of the quon algebra, which interpolates between bosonic and fermionic statistics. A previously developed formalism is…

Soft Condensed Matter · Physics 2008-11-26 S. S. Avancini , J. R. Marinelli , G. Krein

Using both fluid and kinetic descriptions, where repulsive forces between near by atoms are included, we discuss the basic oscillations and waves of a cloud of ultra-cold atoms confined in a magneto-optical trap. The existence of a hybrid…

Quantum Gases · Physics 2013-05-20 J. T. Mendonça , R. Kaiser , H. Terças , J. Loureiro

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

We present a kinetic theory for Bose-Einstein condensation of a weakly interacting atomic gas in a trap. Starting from first principles, we establish a Markovian kinetic description for the evolution towards equilibrium. In particular, we…

Statistical Mechanics · Physics 2009-10-31 R. Walser , J. Williams , J. Cooper , M. Holland

We study the thermodynamics of the Bose-condensed atomic hydrogen confined in the Ioffe-Pritchard potential. Such a trapping potential, that models the magnetic trap used in recent experiments with hydrogen, is anharmonic and strongly…

Statistical Mechanics · Physics 2016-08-31 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

We study dynamical properties of the cubic lowest Landau level equation, which is used in the modeling of fast rotating Bose-Einstein condensates. We obtain bounds on the decay of general stationary solutions. We then provide a…

Analysis of PDEs · Mathematics 2018-09-26 Patrick Gérard , Pierre Germain , Laurent Thomann

We discuss the occurrence of Bose-Einstein condensation in systems of noninteracting charged particles in three in one dimensions and in presence of an external magnetic field. In the one dimensional, as well as in the magnetic field cases,…

Condensed Matter · Physics 2007-05-23 H. Perez , L. Villegas

We investigate the thermodynamic properties of a Bose-Einstein condensate with negative scattering length confined in a toroidal trapping potential. By numerically solving the coupled Gross-Pitaevskii and Bogoliubov-de Gennes equations, we…

Other Condensed Matter · Physics 2009-11-11 L. Salasnich , A. Parola , L. Reatto

Waves with different symmetries exist in two-component Bose-Einstein condensates (BECs) whose dynamics is described by a system of coupled Gross-Pitaevskii (GP) equations. A first type of waves corresponds to excitations for which the…

Quantum Gases · Physics 2016-12-22 A. M. Kamchatnov , Y. V. Kartashov , P. -É. Larré , N. Pavloff

The realization of Bose-Einstein condensation in ultracold trapped gases has led to a revival of interest in that fascinating quantum phenomenon. This experimental achievement necessitated both extremely low temperatures and sufficiently…

Quantum Gases · Physics 2021-02-22 Mihály Máté , Örs Legeza , Rolf Schilling , Mason Yousif , Christian Schilling

We use the Gross-Pitaevskii equation to determine the spatial structure of the condensate density of interacting bosons whose energy dispersion epsilon_k has two degenerate minima at finite wave-vectors q. We show that in general the…

Quantum Gases · Physics 2011-01-14 Johannes Hick , Francesca Sauli , Andreas Kreisel , Peter Kopietz

We study a Bose-condensed gas at finite temperature, in which the particles of the condensate and of the thermal cloud are constrained to move in a plane under radial harmonic confinement and interact via strictly two-dimensional…

Soft Condensed Matter · Physics 2009-11-10 K. K. Rajagopal , P. Vignolo , M. P. Tosi

Bose-Einstein condensation has been achieved in a magnetic surface micro trap with 4x10^5 87Rb atoms. The strongly anisotropic trapping potential is generated by a microstructure which consists of microfabricated linear copper conductors at…

Statistical Mechanics · Physics 2017-08-16 H. Ott , J. Fortagh , G. Schlotterbeck , A. Grossmann , C. Zimmermann

The zero-temperature system of two dilute overlapping Bose-Einstein condensates is unstable against long wavelength excitations if the interaction strength between the distinguishable bosons exceeds the geometric mean of the like-boson…

Condensed Matter · Physics 2009-10-30 Eddy Timmermans

In this work, we study low-lying collective excitations of a Bose-Einstein condensate with Newtonian and Yukawa-like two-particle interaction and derive boundaries for both Yukawa parameters. Using a variational approach, we explicitly show…

Quantum Gases · Physics 2023-04-05 S. Gödtel , C. Lämmerzahl

We diagonalize the second-quantized Hamiltonian of a one-dimensional Bose gas with a nonpoint repulsive interatomic potential and zero boundary conditions. At weak coupling the solutions for the ground-state energy $E_{0}$ and the…

Quantum Gases · Physics 2019-04-09 M. D. Tomchenko

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov , R. Graham

In this letter, we study bosonic atoms at large scattering lengths using a variational method where the condensation amplitude is a variational parameter. We further examine momentum distribution functions, chemical potentials and speed of…

Other Condensed Matter · Physics 2009-07-09 Jun Liang Song , Fei Zhou

We consider a system of $N$ particles living on the noncommutative plane in the presence of a confining potential and study its thermodynamics properties. Indeed, after calculating the partition function, we determine the corresponding…

Statistical Mechanics · Physics 2020-01-08 Rachid Houça , Ahmed Jellal

We optimize the classical field approximation of the version described in J. Phys. B 40, R1 (2007) for the oscillations of a Bose gas trapped in a harmonic potential at nonzero temperatures, as experimentally investigated by Jin et al.…

Quantum Gases · Physics 2010-03-31 Tomasz Karpiuk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski
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