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We study the dynamics of a Bose-Einstein condensate in a double-well potential in the two-mode approximation. The dissipation of energy from the condensate is described by the coupling to a thermal reservoir of non-condensate modes. As a…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

We study the ground-state properties of a quasi-two-dimensional Bose-Einstein condensate of indirect excitons, which are confined in an anisotropic harmonic potential. Incorporating the interactions, we calculate the order parameter…

Condensed Matter · Physics 2007-05-23 G. M. Kavoulakis

Gross-Pitaevskii equation for Bose-Einstein condensate confined in elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space coordinate along the trap axis. The radial distribution of…

Soft Condensed Matter · Physics 2007-05-23 A. M. Kamchatnov , V. S. Shchesnovich

We present a theoretical model to describe the dynamics of Bose-Einstein condensates in anharmonic trapping potentials. To first approximation the center-of-mass motion is separated from the internal condensate dynamics and the problem is…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortagh , C. Zimmermann

The mean-field dynamics of a Bose-Einstein condensate is studied in presence of a microscopic trapping potential from which the condensate can escape via tunneling through finite barriers. We show that the method of complex scaling can be…

Soft Condensed Matter · Physics 2013-05-29 Peter Schlagheck , Tobias Paul

The properties of 3D Bose-Einstein condensate have been studied with variational and numerical methods. In the variational approach, we use the super-Gaussian trial function, and it is demonstrated that this trial function gives a good…

Quantum Gases · Physics 2022-07-04 Sherzod R. Otajonov

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 investigate the ground-state properties of the ultracold gases of bosonic microwave-shielded polar molecules. To account for the large shielding core of the inter-molecular potential, we adopt a variational ansatz incorporating the…

Quantum Gases · Physics 2024-06-11 Wei-Jian Jin , Fulin Deng , Su Yi , Tao Shi

This paper presents a novel spatial discretisation method for the reliable and efficient simulation of Bose-Einstein condensates modelled by the Gross-Pitaevskii equation and the corresponding nonlinear eigenvector problem. The method…

Numerical Analysis · Mathematics 2023-09-22 Daniel Peterseim , Johan Wärnegård , Christoph Zimmer

The collective modes of a rotating Bose-Einstein condensate confined in an attractive quadratic plus quartic trap are investigated. Assuming the presence of a large number of vortices we apply the diffused vorticity approach to the system.…

Other Condensed Matter · Physics 2009-11-11 Marco Cozzini

We investigate the dynamics of a Bose condensate, interacting with either repulsive or attractive forces, confined in a fully anisotropic harmonic potential. The (3+1)-dimensional Gross-Pitaevskii equation is integrated numerically to…

Condensed Matter · Physics 2009-10-31 E. Cerboneschi , R. Mannella , E. Arimondo , L. Salasnich

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a…

Quantum Gases · Physics 2018-02-27 M. Nigro , P. Capuzzi , H. M. Cataldo , D. M. Jezek

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

Disordered Systems and Neural Networks · Physics 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham

The statistical mechanics of a system of non-relativistic charged particles in a constant magnetic field is discussed. The spatial dimension $D$ is arbitrary with $D\geq 3$ assumed. Calculations are presented from first principles using the…

Statistical Mechanics · Physics 2007-05-23 Guy B. Standen , David J. Toms

A simple picture describes the results of recent treatments of partially-condensed, dilute, trapped Bose gases at temperature T > 0. The condensate wavefunction is nearly identical to that of a T=0 condensate with the same number of…

Statistical Mechanics · Physics 2007-05-23 R. J. Dodd , K. Burnett , Mark Edwards , Charles W. Clark

Bose-Einstein condensates with an attractive 1/r interaction and with dipole-dipole interaction are investigated in the framework of the Gaussian variational ansatz introduced by S. Rau, J. Main, and G. Wunner [Phys. Rev. A, submitted]. We…

Quantum Gases · Physics 2010-08-17 Stefan Rau , Jörg Main , Holger Cartarius , Patrick Köberle , Günter Wunner

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…

We investigate the dynamical instability of Bose-Einstein condensates (BECs) with higher-order interactions immersed in an optical lattice with weak driving harmonic potential. For this, we compute both analytically and numerically a…

Pattern Formation and Solitons · Physics 2015-06-19 E. Wamba , S. Sabari , K. Porsezian , A. Mohamadou , T. C. Kofané

In two-dimensional traps, since the theoretical study of Bose-Einstein condensation (BEC) will encounter the problem of divergence, the actual contribution of the divergent terms is often estimated in some indirect ways with the accuracy to…

Quantum Gases · Physics 2019-05-03 Mi Xie

The macroscopic coherent tunneling through the barriers of a periodic potential is used as an atomoptical filter to separate the condensate and the thermal components of a $^{87}$Rb mixed cloud. We condense in the combined potential of a…

Soft Condensed Matter · Physics 2011-02-23 F. Ferlaino , P. Maddaloni , S. Burger , F. S. Cataliotti , C. Fort , M. Modugno , M. Inguscio