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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

We investigate the nonlinear light-matter interaction of a Bose-Einstein condensate trapped in an external periodic potential inside an optical cavity which is weakly coupled to vacuum radiation modes and driven by a transverse pump field.…

Quantum Gases · Physics 2015-03-26 M. Reza Bakhtiari , Andreas Hemmerich , Helmut Ritsch , Michael Thorwart

Rapidly scanning magnetic and optical dipole traps have been widely utilised to form time-averaged potentials for ultracold quantum gas experiments. Here we theoretically and experimentally characterise the dynamic properties of…

After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, I discuss the effect of interactions on the formation of a Bose-Einstein condensate (BEC), along with the dynamics of small-amplitude perturbations (the Bogoliubov…

Statistical Mechanics · Physics 2015-05-13 Alexander L. Fetter

When the energy functional of a Bose-condensed state of matter features an effective gauge potential which depends on the density $\rho$ of the condensate, the kinetic energy density of the matter field becomes nonlinear in $\rho$ and…

Quantum Gases · Physics 2017-08-28 Yvan Buggy , Patrik Öhberg

We calculate the critical rotation frequency at which a vortex state becomes energetically favorable over the vortex-free ground state in a harmonically trapped Bose-Einstein condensate whose atoms have dipole-dipole interactions as well as…

Other Condensed Matter · Physics 2007-05-23 Duncan H. J. O'Dell , Claudia Eberlein

The response of a trapped Bose-Einstein condensed gas to a density perturbation generated by a two-photon Bragg pulse is investigated by solving the time-dependent Gross-Pitaevskii equation. We calculate the total momentum imparted to the…

Condensed Matter · Physics 2009-11-07 A. Brunello , F. Dalfovo , L. Pitaevskii , S. Stringari , F. Zambelli

We investigate the ground and low excited states of a rotating, weakly interacting Bose-Einstein condensed gas in a harmonic trap for a given angular momentum. Analytical results in various limits, as well as numerical results are…

Condensed Matter · Physics 2009-10-31 G. M. Kavoulakis , B. Mottelson , C. J. Pethick

The atom - electromagnetic field interaction is studied in the Dicke model, wherein a single field mode is interacting with a collection of two level atoms at thermal equilibrium. It is found that in the superradiant phase of the system,…

Optics · Physics 2017-12-18 Vivek M. Vyas , Prasanta K. Panigrahi , V. Srinivasan

We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is…

Statistical Mechanics · Physics 2009-11-13 K. Morawetz , M. Maennel , M. Schreiber

We calculate the low energy elementary excitations of a Bose-Einstein Condensate in an effective magnetic field. The field is created by the interplay between light beams carrying orbital angular momentum and the trapped atoms. We examine…

Other Condensed Matter · Physics 2016-08-14 D. R. Murray , P. Öhberg , Damiá Gomila , Stephen M. Barnett

We report measurements of dynamical tunneling rates of a Bose-Einstein condensate across a barrier in classical phase space. The atoms are initially prepared in quantum states that extend over a classically regular island region. We focus…

Quantum Physics · Physics 2013-09-16 R. K. Shrestha , J. Ni , W. K. Lam , G. S. Summy , S. Wimberger

The dynamics of a vortex filament in a trapped Bose-Einstein condensate is considered when the equilibrium density of the condensate, in rotating with angular velocity ${\bf\Omega}$ coordinate system, is Gaussian with a quadratic form ${\bf…

Quantum Gases · Physics 2017-02-28 V. P. Ruban

We theoretically investigate the mechanical effect of the light-induced dipole-dipole interaction potential on the atoms in a Bose-Einstein condensate. We present numerical calculations on the magnitude and shape of the induced potentials…

Quantum Physics · Physics 2009-11-11 R. Löw , R. Gati , J. Stuhler , T. Pfau

We present a concrete theoretical proposal for detecting topological phase transitions in double kicked atom-optics kicked rotors with internal spin-1/2 degree of freedom. The implementation utilizes a kicked Bose-Einstein condensate…

The ground state of a rotating Bose-Einstein condensate with attractive interaction in a quasi-one-dimensional torus is studied in terms of the ratio $\gamma$ of the mean-field interaction energy per particle to the single-particle…

Condensed Matter · Physics 2009-10-31 Masahito Ueda , Anthony J. Leggett

We consider a trapped atomic Bose--Einstein condensate penetrated by a repulsive Gaussian potential and theoretically investigate the dynamics induced by oscillating the Gaussian potential. Our study is based on the numerical calculation of…

Quantum Gases · Physics 2015-05-27 Kazuya Fujimoto , Makoto Tsubota

We theoretically investigate the out-of-equilibrium dynamics in a binary Bose-Einstein condensate confined within two-dimensional box potentials. One species of the condensate interacts with a pair of oppositely wound, but otherwise…

Quantum Gases · Physics 2021-11-09 Madhura Ghosh Dastidar , Subrata Das , Koushik Mukherjee , Sonjoy Majumder

There is a wide-spread belief in the literature on Bose-Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition, exhibiting, instead of the necessary…

Quantum Gases · Physics 2015-06-19 V. I. Yukalov , E. P. Yukalova

We study a system of $N$ Bose atoms trapped by a symmetric harmonic potential, interacting via weak central forces. Considering the ground state of the rotating system as a function of the two conserved quantities, the total angular…

Statistical Mechanics · Physics 2009-11-07 M. S. Hussein , O. K. Vorov