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Bose-Einstein condensates of 10$^4$ $^{85}$Rb atoms in a cylindrical trap are studied using a recently proposed modified Gross-Pitaevskii equation. The existence of a Feshbach resonance allows for widely tuning the scattering length of the…

Soft Condensed Matter · Physics 2009-11-07 A. Fabrocini , A. Polls

We present an investigation of the fast decompression of a three-dimensional (3D) Bose-Einstein condensate (BEC) at finite temperature using an engineered trajectory for the harmonic trapping potential. Taking advantage of the scaling…

We apply a path integral variational approach to obtain analytical expressions for condensate wave functions of an ultracold, interacting trapped Bose gases. As in many recent experiments, the particles are confined in a 1D or 3D harmonic…

Quantum Gases · Physics 2014-03-07 Wattana Ratismith , Holger Hauptmann , Walter T. Strunz

By using a correlated many body method and using the realistic van der Waals potential we study several statistical measures like the specific heat, transition temperature and the condensate fraction of the interacting Bose gas trapped in…

We study a Bose-Einstein condensate (BEC) of a dilute gas with dipolar interactions, at finite temperature, using the Hartree-Fock-Bogoliubov (HFB) theory within the Popov approximation. An additional approximation involving the dipolar…

Statistical Mechanics · Physics 2009-11-13 Shai Ronen , John Bohn

The calculation of properties of Bose-Einstein condensates with dipolar interactions has proven a computationally intensive problem due to the long range nature of the interactions, limiting the scope of applications. In particular, the…

Statistical Mechanics · Physics 2009-11-11 Shai Ronen , Daniele E. C. Bortolotti , John L. Bohn

Quantized vortex states of weakly interacting Bose-Einstein condensate of atoms with attractive interatomic interaction in an axially symmetric harmonic oscillator trap are investigated using the numerical solution of the time-dependent…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacting by a contact interaction in the Popov…

Condensed Matter · Physics 2007-05-23 William J. Mullin

A Bose-Einstein condensate is created in a simple and robust miniature Ioffe-Pritchard trap, the so-called Z trap. This trap follows from the mere combination of a Z-shaped current carrying wire and a homogeneous bias field. The…

We use a gradient-decent method to compute 3D ground states of dipolar Bose-Einstein conden- sates. We discover that in highly-prolate traps, whose long axis is parallel to the dipoles, can give rise to candlestick ground states. Direct…

Pattern Formation and Solitons · Physics 2018-05-04 Jessica R. Taylor , Boaz Ilan

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting…

Mathematical Physics · Physics 2009-11-07 Elliott H. Lieb , Robert Seiringer

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 present the general dielectric formalism for Bose-Einstein condensed systems in external potential at finite temperatures. On the basis of a model arising within this framework as a first approximation in an intermediate temperature…

Statistical Mechanics · Physics 2009-10-31 Gy. Bene , P. Szepfalusy

The recent developments of microgravity experiments with ultracold atoms have produced a relevant boost in the study of shell-shaped ellipsoidal Bose-Einstein condensates. For realistic bubble-trap parameters, here we calculate the critical…

Quantum Gases · Physics 2020-07-01 A. Tononi , F. Cinti , L. Salasnich

We investigate the properties of hard core Bosons in harmonic traps over a wide range of densities. Bose-Einstein condensation is formulated using the one-body Density Matrix (OBDM) which is equally valid at low and high densities. The OBDM…

Soft Condensed Matter · Physics 2009-11-10 Jonathan L. DuBois , Henry R. Glyde

We explore the phase diagram of a finite-sized dysprosium dipolar Bose-Einstein condensate in a cylindrical harmonic trap. We monitor the final state after the scattering length is lowered from the repulsive BEC regime to the quantum…

Static and dynamic properties of Bose-Einstein condensates in annular traps are investigated by solving the many-boson Schr\"odinger equation numerically accurately using the multiconfigurational time-dependent Hartree for bosons method. We…

Quantum Gases · Physics 2019-07-09 Ofir E. Alon

The formation process of a Bose-Einstein condensate in a trap is described using a master equation based on quantum kinetic theory, which can be well approximated by a description using only the condensate mode in interaction with a…

Quantum Physics · Physics 2009-10-30 C. W. Gardiner , P. Zoller , R. J. Ballagh , M. J. Davis

We consider a Bose-Einstein condensate (BEC), which is characterized by long-range and anisotropic dipole-dipole interactions and vanishing s-wave scattering length, in a double-well potential. The properties of this system are investigated…

Quantum Gases · Physics 2015-05-14 M. Asad-uz-Zaman , D. Blume

In this work, we have studied the effect of the repulsive speckle potential in a mixture of Bose-Einstein condensates in one dimension (1D) and two dimension (2D). We simulated linear and circular random speckle potentials in 1D and 2D,…

Quantum Gases · Physics 2025-08-20 Avra Banerjee , Saswata Sahu , Dwipesh Majumder