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We investigate the form and stability of a cloud of atoms confined in a harmonic trap when the scattering length is negative. We find that, besides the known low density metastable solution, a new branch of Bose condensate appears at higher…

Condensed Matter · Physics 2009-10-31 Alberto Parola , Luca Salasnich , Luciano Reatto

We study the Bose-Einstein condensation for a cloud of $^7$Li atoms with attractive nonlocal (finite-range) interaction in a harmonic trap. In addition to the low-density metastable branch, that is present also in the case of local…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

We study coherence of a trapped bosonic cloud with attractive finite-range interaction in a tight harmonic trap. One-body density and pair-distribution function in the ground state for different trap sizes are calculated. We also calculate…

Quantum Gases · Physics 2012-06-22 Anindya Biswas , Barnali Chakrabarti , Tapan Kumar Das , Luca Salasnich

We have studied the atomic density of a cloud confined in an isotropic harmonic trap at the vicinity of the Bose-Einstein transition temperature. We show that, for a non-interacting gas and near this temperature, the ground-state density…

Quantum Physics · Physics 2015-06-26 Rodolphe Hoppeler , Jose Viana Gomes , Denis Boiron

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

We investigate the structure and stability of Bose-Einstein condensate of $^{7}$Li atoms with realistic van der Waals interaction by using the potential harmonic expansion method. Besides the known low-density metastable solution with…

Quantum Gases · Physics 2010-10-26 Anindya Biswas , Tapan Kumar Das , Luca Salasnich , Barnali Chakrabarti

Here we describe a weakly interacting Bose gas on a curved manifold, which is embedded in the three-dimensional Euclidean space.~To this end we start by considering a harmonic trap in the normal direction of the manifold, which confines the…

A spin-orbit-coupled Bose-Einstein-condensed cloud of atoms confined in an annular trapping potential shows a variety of phases that we investigate in the present study. Starting with the non-interacting problem, the homogeneous phase that…

Quantum Gases · Physics 2016-02-17 E. Ö. Karabulut , F. Malet , A. L. Fetter , G. M. Kavoulakis , S. M. Reimann

We consider the criterion for Bose condensation for particles in a harmonic trap. For a fixed angular momentum, the lowest energy state for a cloud of bosons with attractive interactions is the ground state of the cloud with all the angular…

Condensed Matter · Physics 2009-02-05 C. J. Pethick , L. P. Pitaevskii

Amplifying on a proposal by O'Dell et al. for the realization of Bose-Einstein condensates of neutral atoms with attractive $1/r$ interaction, we point out that the instance of self-trapping of the condensate, without external trap…

Quantum Physics · Physics 2007-11-07 I. Papadopoulos , P. Wagner , G. Wunner , J. Main

We investigate a system of bosons in a two-dimensional harmonic trap. In the limit of strong attractive interactions, the bosons make a droplet insensitive to external confinement. For weak interactions, in contrast, the ground state is…

Quantum Gases · Physics 2025-07-01 Fabian Brauneis , Artem G. Volosniev , Hans-Werner Hammer

We study bosonic atoms on the p-band of a two dimensional optical square lattice in the presence of a confining trapping potential. Using a mean-field approach, we show how the anisotropic tunneling for p-band particles affects the cloud of…

Quantum Gases · Physics 2015-03-19 Fernanda Pinheiro , Jani-Petri Martikainen , Jonas Larson

Continuous center-of-mass position measurements performed on an interacting harmonically trapped Bose-gas are considered. Using both semi-analytical mean-field approach and completely quantum numerical technique based on positive…

Quantum Physics · Physics 2013-05-29 T. Yu. Ivanova , M. S. Samoylova , D. A. Ivanov

We demonstrate analytically that a Bose-Einstein condensate confined in a harmonic trap with zero-range attractive interparticle interactions is unstable if there is more than 1 boson. Replacing the zero-range interaction by a short-range…

Quantum Physics · Physics 2007-05-23 F. Brosens , J. T. Devreese , L. F. Lemmens

Density correlations unambiguously reveal the quantum nature of matter. Here, we study correlations between measurements of density in cold-atom clouds at different times at one position, and also at two separated positions. We take into…

Quantum Gases · Physics 2015-03-16 M. Kohnen , R. A. Nyman

We consider Bose-Einstein condensed atoms confined in a toroidal trap. We demonstrate that under conditions of one-dimensional behavior, the density distribution of the atoms may be exponentially localized/delocalized, even for very small…

Other Condensed Matter · Physics 2009-11-11 A. D. Jackson , G. M. Kavoulakis

We examine an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a rotating toroidal trap, as the magnitude of the coupling constant and the rotational frequency are varied. Using both a variational…

Condensed Matter · Physics 2009-11-10 G. M. Kavoulakis

Two-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the…

Statistical Mechanics · Physics 2007-05-23 B. Tanatar , A. Minguzzi , P. Vignolo , and M. P. Tosi

The properties of a rotating Bose-Einstein condensate confined in a prolate cylindrically symmetric trap are explored both analytically and numerically. As the rotation frequency increases, an ever greater number of vortices are…

Statistical Mechanics · Physics 2009-11-07 D. L. Feder , C. W. Clark

We calculate the breathing mode frequency $\omega$ in a one-dimensional Bose gas confined to a harmonic trap of frequency $\omega_z$. We predict Exciting temporal oscillations of the density distribution is a high-precision method for…

Quantum Gases · Physics 2015-08-12 A. Iu. Gudyma , G. E. Astrakharchik , Mikhail B. Zvonarev
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