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We study analytically the ground-state stability of a Bose-Einstein condensate (BEC) confined in an harmonic trap with repulsive or attractive zero-range interaction by minimizing the energy functional of the system. In the case of…

Quantum Physics · Physics 2015-06-26 Luca Salasnich

The stability of Bose gases near resonance has been a puzzling problem in recent years. In this Letter, we demonstrate that in addition to generating thermal pressure, thermal atoms enhance the repulsiveness of the scale-dependent…

Quantum Gases · Physics 2015-07-16 Shao-Jian Jiang , Fei Zhou

We investigate the lowest scattering state of one-dimensional Bose gas with attractive interactions trapped in a hard wall trap. By solving the Bethe ansatz equation numerically we determine the full energy spectrum and the exact wave…

Quantum Gases · Physics 2015-05-27 Yajiang Hao , Hongli Guo , Yunbo Zhang , Shu Chen

We solve the Gross-Pitaevskii equations for a dilute atomic gas in a magnetic trap, modeled by an anisotropic harmonic potential. We evaluate the wave function and the energy of the Bose Einstein condensate as a function of the particle…

Condensed Matter · Physics 2009-10-28 F. Dalfovo , S. Stringari

We consider the unitary time evolution of a one-dimensional cloud of hard-core bosons loaded on a harmonic trap potential which is slowly released in time with a general ramp $g(t)$. After the identification of a typical length scale…

Statistical Mechanics · Physics 2017-09-25 Stefano Scopa , Dragi Karevski

In this work, we analyze the free expansion of Bose-Einstein condensates containing multicharged vortices. The atomic cloud is initially confined in a three-dimensional asymmetric harmonic trap. We apply both approximate variational…

Quantum Gases · Physics 2017-10-05 Rafael Poliseli Teles , F. E. A. dos Santos , M. A. Caracanhas , V. S. Bagnato

In this paper we investigate the stability of a recently introduced Bose-Einstein condensate (BEC) which involves logarithmic interaction between atoms. The Gaussian variational approach is employed to derive equations of motion for…

Quantum Gases · Physics 2015-07-14 B. Bouharia

Bose gases confined in highly-elongated harmonic traps are investigated over a wide range of interaction strengths using quantum Monte Carlo techniques. We find that the properties of a Bose gas under tight transverse confinement are well…

Soft Condensed Matter · Physics 2009-11-10 G. E. Astrakharchik , D. Blume , S. Giorgini , B. E. Granger

A Bose-Einstein condensate in an external potential consisting of a superposition of a harmonic and a random potential is considered theoretically. From a semi-quantitative analysis we find the size, shape and excitation energy as a…

Statistical Mechanics · Physics 2009-11-13 T. Nattermann , V. L. Pokrovsky

We examine bosonic atoms that are confined in a toroidal, quasi-one-dimensional trap, subjected to a random potential. The resulting inhomogeneous atomic density is smoothened for sufficiently strong, repulsive interatomic interactions.…

Other Condensed Matter · Physics 2009-11-11 M. Ogren , G. M. Kavoulakis

This article is devoted to the study of two-dimensional Bose gases harmonically confined. We first summarize their equilibrium properties. For such a gas above the critical temperature, we also derive the frequencies and the damping of the…

Other Condensed Matter · Physics 2015-06-24 David Guery-Odelin , Thierry Lahaye

The Bose-Einstein condensation of correlated atoms in a trap is studied by examining the effect of inter-particle correlations to one-body properties of atomic systems at zero temperature using a simplified formula for the correlated two…

Soft Condensed Matter · Physics 2009-11-07 Ch. C. Moustakidis , S. E. Massen

We investigate the collective oscillations of a Bose condensate in an anisotropic harmonic trap. We analytically calculate the values of the trap deformation for which the normal modes are in resonance. In presence of low-order resonances,…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

The properties of vortex states in a Bose-Einstein condensed cloud of atoms are considered at zero temperature. Using both analytical and numerical methods we solve the time-dependent Gross-Pitaevskii equation for the case when a cloud of…

Condensed Matter · Physics 2009-10-31 Emil Lundh , C. J. Pethick , H. Smith

We study experimentally and theoretically a cold trapped Bose gas under critical rotation, i.e. with a rotation frequency close to the frequency of the radial confinement. We identify two regimes: the regime of explosion where the cloud…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Rosenbusch , D. S. Petrov , S. Sinha , F. Chevy , V. Bretin , Y. Castin , G. Shlyapnikov , J. Dalibard

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

We present an analysis of Bose-Einstein condensation for a system of non-interacting spin-0 particles in a harmonic oscillator confining potential trap. We discuss why a confined system of particles differs both qualitatively and…

Condensed Matter · Physics 2007-05-23 Klaus Kirsten , David J. Toms

In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic…

Soft Condensed Matter · Physics 2009-11-07 F. Kh. Abdullaev , J. C. Bronski , R. M. Galimzyanov

We investigate a two-dimensional Bose-Einstein condensate that is optically driven via a retro-reflecting mirror, forming a single optical feedback loop. This induces a peculiar type of long-range atomic interaction with highly oscillatory…

Quantum Gases · Physics 2021-02-10 Yong-Chang Zhang , Valentin Walther , Thomas Pohl

A two-component Bose-Einstein condensate confined in an axially-symmetric potential with two local minima, resembling two concentric annular traps, is investigated. The system shows a number of quantum phase transitions that result from the…

Quantum Gases · Physics 2015-05-14 F. Malet , G. M. Kavoulakis , S. M. Reimann