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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

In the absence of losses the phase of a Bose-Einstein condensate undergoes collapses and revivals in time due to elastic atomic interactions. As experiments necessarily involve inelastic collisions, we develop a model to describe the phase…

Atomic Physics · Physics 2009-10-31 Alice Sinatra , Yvan Castin

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

Using the time-dependent mean-field Gross-Pitaevskii equation we study the dynamics of small repulsive Bose-Einstein condensed vortex states of ^{85}Rb atoms in a cylindrical trap with low angular momentum hbar L per atom (L <= 6), when the…

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

In Bose-Einstein condensates with an attractive contact interaction the stable ground state and an unstable excited state emerge in a tangent bifurcation at a critical value of the scattering length. At the bifurcation point both the…

Quantum Gases · Physics 2015-01-13 Jonas Brinker , Jacob Fuchs , Jörg Main , Günter Wunner , Holger Cartarius

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

We study theoretically Bose-Einstein condensates with polarized dipolar interactions in anisotropic traps. We map the parameter space by varying the trap frequencies and dipolar interaction strengths and find an irregular-shaped region of…

Quantum Gases · Physics 2012-11-28 A. D. Martin , P. B. Blakie

We investigate the collapse of a trapped dipolar Bose-Einstein condensate. This is performed by numerical simulations of the Gross-Pitaevskii equation and the novel application of the Thomas-Fermi hydrodynamic equations to collapse. We…

Other Condensed Matter · Physics 2009-11-13 N. G. Parker , C. Ticknor , A. M. Martin , D. H. J. O'Dell

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

Soft Condensed Matter · Physics 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

Boundaries strongly affect the behavior of quantized vortices in Bose-Einstein condensates, a phenomenon particularly evident in elongated cigar-shaped traps where vortices tend to orient along a short direction to minimize energy.…

Quantum Gases · Physics 2017-11-03 R. N. Bisset , S. Serafini , E. Iseni , M. Barbiero , T. Bienaimé , G. Lamporesi , G. Ferrari , F. Dalfovo

We present a variational solution of the Langevin field equation describing the nonequilibrium dynamics of a harmonically trapped Bose-Einstein condensate. If the thermal cloud remains in equilibrium at all times, we find that the equation…

Statistical Mechanics · Physics 2009-11-07 R. A. Duine , H. T. C. Stoof

We investigate the stability properties and the dynamics of Bose-Einstein condensates with axial symmetry, especially with dipolar long-range interaction, using both simulations on grids and variational calculations. We present an extended…

Quantum Gases · Physics 2013-02-11 Manuel Kreibich , Jörg Main , Günter Wunner

The dynamical population oscillations between two internal states of a Bose-Einstein condensate are investigated within the rotating wave approximation. Analytical expressions for the population imbalance in the number states and coherent…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ping Zhang , C. K. Chan , Xiang-Gui Li , Xian-Geng Zhao

Mean field approximation treats only coherent aspects of the evolution of a Bose Einstein condensate. However, in many experiments some atoms scatter out of the condensate. We study an analytic model of two counter-propagating atomic…

Other Condensed Matter · Physics 2009-11-10 P. Zin , J. Chwedenczuk , A. Perez , K. Rzazewski , M. Trippenbach

A Bose-Einstein condensate of atoms with attractive interactions exhibits growth and collapse cycles, when it is fed by a thermal cloud. Recently this phenomenon has been directly observed in a trapped Li-7 gas. We offer a quantitative…

Soft Condensed Matter · Physics 2007-05-23 Kerson Huang

In this work we investigate the quantum dynamics of a model for two single-mode Bose--Einstein condensates which are coupled via Josephson tunneling. Using direct numerical diagonalisation of the Hamiltonian, we compute the time evolution…

Quantum Physics · Physics 2009-11-10 A. P. Tonel , J. Links , A. Foerster

The confined variational method in conjunction with the orthogonalizing pseudo-potential method and the stabilization method is used to study the low energy elastic scattering between two spin-polarized metastable positronium…

Atomic Physics · Physics 2022-06-14 Y. Zhang , M. -S. Wu , J. -Y. Zhang , Y. Qian , X. Gao , K. Varga

We study the collapse dynamics of a Bose-Einstein condensate subjected to a sudden change of the scattering length to a negative value by adopting the self-consistent Gaussian state theory for mixed states. Compared to the Gross-Pitaevskii…

Quantum Gases · Physics 2022-04-04 Junqiao Pan , Yuqi Wang , Tao Shi , Su Yi

The collective excitation of hybrid atomic-molecular condensate are studied using variational method. The dipole response of the system is studied in detail. We found that the out-of-phase dipole oscillation frequency increasing slowly with…

Soft Condensed Matter · Physics 2007-05-23 Chi-Yong Lin , M. S. Hussein , A. F. R. de Toledo Piza , E. Timmermans

We investigate numerically the response of an atomic Bose-Einstein condensate to a weakly-elliptical rotating trap over a large range of rotation frequencies. We analyse the quadrupolar shape oscillation excited by rotation, and…

Other Condensed Matter · Physics 2009-11-11 N. G. Parker , C. S. Adams