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We study Bose-Einstein gas for an arbitrary power low interaction $C_{\alpha}r^{-\alpha}$. This is done by the Hartree Fock Bogoliubov (HFB) approach at $T \le T_{c}$ and the mean field approach at $T>T_{c}$. Especially, we investigate the…

Statistical Mechanics · Physics 2007-05-23 Makoto Hiramoto

We theoretically investigate a Bose-Einstein condensate confined by a rotating harmonic trap whose rotation axis is not aligned with any of its principal axes. The principal axes of the Thomas-Fermi density profiles of the resulting…

Quantum Gases · Physics 2020-07-01 Srivatsa B. Prasad , Brendan C. Mulkerin , Andrew M. Martin

The production of quantized vortices having diverse structures is a remarkable effect of rotating Bose-Einstein condensates. Vortex formation described by the mean-field theory is valid only in the regime of weak interactions. The…

Quantum Gases · Physics 2022-04-06 Budhaditya Chatterjee

We consider a Bose-Einstein condensate (BEC) of $N$ atoms of repulsive interaction $\sim U_0$, in an elliptical trap, axially pierced by a Gaussian-intensity laser beam, forming an effective (quasi-2D) toroidal trap with minimum at radial…

Soft Condensed Matter · Physics 2007-05-23 M. Benakli , S. Raghavan , A. Smerzi , S. Fantoni , S. R. Shenoy

We study the normal modes of a two-dimensional rotating Bose-Einstein condensate confined in a quadratic plus quartic trap. Hydrodynamic theory and sum rules are used to derive analytical predictions for the collective frequencies in the…

Statistical Mechanics · Physics 2009-11-10 M. Cozzini , A. L. Fetter , B. Jackson , S. Stringari

We use exact diagonalization to study an interacting system of $N$ spinless bosons with finite-range Gaussian repulsion, confined in a quasi-two-dimensional harmonic trap with and without an introduced rotation. The diagonalization of the…

Quantum Gases · Physics 2020-06-02 Mohd. Imran , M. A. H. Ahsan

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

We consider the condensate wavefunction of a rapidly rotating two-component Bose gas with an equal number of particles in each component. If the interactions between like and unlike species are very similar (as occurs for two hyperfine…

Condensed Matter · Physics 2009-11-07 Erich J. Mueller , Tin-Lun Ho

The effects of a sudden increase and decrease of the interatomic interaction and harmonic-oscillator trapping potential on vortices in a quasi two-dimensional rotating Bose-Einstein condensate are investigated using the mean-field…

Soft Condensed Matter · Physics 2015-06-24 Sadhan K. Adhikari , Paulsamy Muruganandam

We consider the ground state and the low-lying excitations of dipolar Bose-Einstein condensates in a bubble trap, i.e., a shell-shaped spherically symmetric confining potential. By means of an appropriate Gaussian ansatz, we determine the…

Bose gases in rotating optical lattices combine two important topics in quantum physics: superfluid rotation and strong correlations. In this paper, we examine square two-dimensional systems at zero temperature comprised of strongly…

Statistical Mechanics · Physics 2009-11-11 Rajiv Bhat , B. M. Peden , B. T. Seaman , M. Kramer , L. D. Carr , M. J. Holland

The aim of this paper is to perform a numerical and analytical study of a rotating Bose Einstein condensate placed in a harmonic plus Gaussian trap, following the experiments of \cite{bssd}. The rotational frequency $\Omega$ has to stay…

Quantum Gases · Physics 2012-09-27 Amandine Aftalion , Peter Mason

Exact diagonalization study of a rotating dilute Bose-Einstein condensate reveals that as the first vortex enters the system the degeneracy of the low-energy yrast spectrum is lifted and a large energy gap emerges. As more vortices enter…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Tatsuya Nakajima , Masahito Ueda

We construct a variational ground-state wave function of weakly interacting M-component Bose-Einstein condensates beyond the mean-field theory by incorporating the dynamical 3/2-body processes, where one of the two colliding particles drops…

Quantum Gases · Physics 2018-02-15 Wataru Kohno , Akimitsu Kirikoshi , Takafumi Kita

The ground and low-lying collective states of a rotating system of $N=3$ bosons harmonically confined in quasi-two-dimension and interacting via repulsive finite-range Gaussian potential is studied in weakly to moderately interacting…

Quantum Gases · Physics 2016-05-03 Mohd. Imran , M. A. H. Ahsan

We study the rotational properties of a Bose-Einstein condensate confined in a rotating harmonic trap for different trap anisotropies. Using simple arguments, we derive expressions for the velocity field of the quantum fluid for condensates…

Statistical Mechanics · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia

We report on the realization of a trapped one dimensional Bose gas and its characterization by means of measuring its lowest lying collective excitations. The quantum degenerate Bose gas is prepared in a 2D optical lattice and we find the…

Soft Condensed Matter · Physics 2009-11-10 Henning Moritz , Thilo Stöferle , Michael Köhl , Tilman Esslinger

A two-dimensional rapidly rotating Bose-Einstein condensate in a harmonic plus quartic trap is expected to have unusual vortex states that do not occur in a pure harmonic trap. At a critical rotation speed $\Omega_h$, a central hole appears…

Other Condensed Matter · Physics 2009-11-11 Jong-kwan Kim , Alexander L. Fetter

We systematically investigate the ground state and elementary excitations of a Bose-Einstein Condensate with a synthetic vector potential, which is induced by the many-body effects and atom-light coupling. For a sufficiently strong…

Quantum Gases · Physics 2015-07-08 Jun-hui Zheng , Bo Xiong , G. Juzeliunas , Daw-Wei Wang

We extend the results of a previous paper on the Gross-Pitaevskii description of rotating Bose-Einstein condensates in two-dimensional traps to confining potentials of the form V(r) = r^s, $2<s <\infty$. Writing the coupling constant as…

Mathematical Physics · Physics 2007-10-11 M. Correggi , T. Rindler-Daller , J. Yngvason
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