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The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the correct description of particle fluctuations for any…

Quantum Gases · Physics 2015-05-13 V. I. Yukalov

Dynamics of the repulsive Bose-Einstein condensate (BEC) in a double-well trap is explored within the 3D time-dependent Gross-Pitaevskii equation. The model avoids numerous common approximations (two-mode treatment, time-space…

Quantum Gases · Physics 2014-02-04 V. O. Nesterenko , A. N. Novikov , E. Suraud

The dynamics of an interface in a two-component Bose-Einstein condensate driven by a spatially uniform time-dependent force is studied. Starting from the Gross-Pitaevskii Lagrangian, the dispersion relation for linear waves and…

Quantum Gases · Physics 2015-05-27 D. Kobyakov , V. Bychkov , E. Lundh , A. Bezett , V. Akkerman , M. Marklund

We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective…

Soft Condensed Matter · Physics 2009-10-31 Daniel G. Barci , E. S. Fraga , Rudnei O. Ramos

In this work, we investigate the modulational instability of plane wave solutions within a modified Gross-Pitaevskii equation framework. The equation features cubic and quartic nonlinearity. It models the behaviour of quasi-one-dimensional…

Quantum Gases · Physics 2024-05-20 Sherzod R. Otajonov , Bakhram A. Umarov , Fatkhulla Kh. Abdullaev

A Bose-Einstein condensate is dispersively coupled to a single mode of an ultra-high finesse optical cavity. The system is governed by strong interactions between the atomic motion and the light field even at the level of single quanta.…

The time-dependent extended Gross-Pitaevskii equation for Bose-Einstein condensates with attractive 1/r interaction is investigated with both a variational approach and numerically exact calculations. We show that these condensates exhibit…

Quantum Physics · Physics 2008-07-12 Holger Cartarius , Tomaž Fabčič , Jörg Main , Günter Wunner

We show that a Bose-Einstein condensate and a portion of its surrounding thermal cloud can exhibit mutual self-trapping, supported by the attractive particle interactions, and not by the external confinement. This type of dynamics is…

Other Condensed Matter · Physics 2007-05-23 H. Buljan , M. Segev , A. Vardi

An interacting cigar-shaped Bose-Einstein condensate (BEC) inside a driven optical cavity exhibits an intrinsic cross-Kerr (CK) nonlinearity due to the interaction with the optical mode of the cavity. Although the CK coupling is much weaker…

Quantum Physics · Physics 2017-04-12 A. Dalafi , M. H. Naderi

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

By means of mean-field theory, we have studied the structure and excitation spectrum of a purely dipolar Bose gas in pancake-shaped trap where the confinement in the x-y plane is provided by a highly anharmonic potential resulting in an…

Quantum Gases · Physics 2015-06-18 Francesco Ancilotto , Flavio Toigo

We theoretically examine the vortex states of a gas of trapped quasi-two-dimensional ultracold bosons subject to a density-dependent gauge potential, realizing an effective nonlinear rotation of the atomic condensate, which we also show is…

Quantum Gases · Physics 2020-10-28 Matthew Edmonds , Muneto Nitta

The dynamics of collapsing and exploding trapped Bose-Einstein condensat es caused by a sudden switch of interactions from repulsive to attractive a re studied by numerically integrating the Gross-Pitaevskii equation with atomic loss for an…

Condensed Matter · Physics 2016-08-31 Hiroki Saito , Masahito Ueda

We report the computational discovery of complex, topologically charged, and spectrally stable states in three-dimensional multi-component nonlinear wave systems of nonlinear Schr{\"o}dinger type. While our computations relate to…

Pattern Formation and Solitons · Physics 2023-02-01 N. Boullé , I. Newell , P. E. Farrell , P. G. Kevrekidis

We investigate the properties of a three-dimensional homogeneous dipolar Bose gas in a weak random potential with a Gaussian correlation function at finite temperature. Using the Bogoliubov theory (beyond the mean field), we calculate the…

Disordered Systems and Neural Networks · Physics 2015-08-26 Abdelaali Boudjemaa

The stability of nonstationary states of homogeneous spin-1 Bose-Einstein condensates is studied by performing Bogoliubov analysis in a frame of reference where the state is stationary. In particular, the effect of an external magnetic…

Quantum Gases · Physics 2013-09-17 H. Mäkelä , M. Johansson , M. Zelan , E. Lundh

Recent studies on supersolidity in a single-component Bose-Einstein condensate (BEC) have relied on the Lee-Huang-Yang (LHY) correction for stabilization of self-bound droplets, which however involves a high density inside the droplets,…

Quantum Gases · Physics 2022-06-22 Shaoxiong Li , Uyen Ngoc Le , Hiroki Saito

We investigate theoretically the Bose-Einstein condensation of trapped magnetoexcitons in a two-layered system with one layer containing electrons and the other layer containing holes. We have studied the spatial variations of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -R. Eric Yang , J. Yeo , S. Han

We study the dynamics of Bose-Einstein condensates in tilted and driven optical superlattices. For a bichromatic lattice, each Bloch band split up into two minibands such that the dynamics is governed by the interplay of Bloch oscillations…

Quantum Gases · Physics 2011-04-20 D. Witthaut , F. Trimborn , V. Kegel , H. J. Korsch

Nonlinear dynamics of a trapped Bose-Einstein condensate, subject to the action of a resonant external field, is studied. This field produces a spatio-temporal modulation of the trapping potential with the frequency close to the transition…

Condensed Matter · Physics 2015-06-24 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato