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We study the inelastic scattering of a probe particle on a Bose-Einstein condensate confined in a double-well potential. We identify prominent signatures of the underlying mean-field phase space in the scattering signal and derive an…

Quantum Physics · Physics 2012-03-05 Stefan Hunn , Moritz Hiller , Tsampikos Kottos , Doron Cohen , Andreas Buchleitner

Magnetic insulators can be characterized by a gap separating the singlet ground state from the lowest energy triplet, S=1 excitation. If the gap can be closed by the Zeeman interaction in applied magnetic field, the resulting S=1…

Quantum Gases · Physics 2015-05-27 A. Rakhimov , S. Mardonov , E. Ya. Sherman

We consider the condensate wavefunction of a rapidly rotating two-component Bose gas with an equal number of particles in each component. If the interactions between like and unlike species are very similar (as occurs for two hyperfine…

Condensed Matter · Physics 2009-11-07 Erich J. Mueller , Tin-Lun Ho

We compute the the Bogoliubov-de-Gennes excitation spectrum in a trapped two-component spin-orbit-coupled (SOC) Bose-Einstein condensate (BEC) in quasi-two-dimensions as a function of linear and angular momentum and analyse them. The…

Quantum Gases · Physics 2023-10-16 Inderpreet Kaur , Sankalpa Ghosh

This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate near the interface, in the case of strong segregation. This yields a system of two coupled ODE's for which we want to have…

Analysis of PDEs · Mathematics 2016-05-17 Amandine Aftalion , Christos Sourdis

We study the bosonic Boltzmann-Nordheim kinetic equation, which describes the kinetic regime of weakly interacting bosons with s-wave scattering only. We consider a spatially homogeneous fluid with an isotropic momentum distribution. The…

Mesoscale and Nanoscale Physics · Physics 2008-09-29 Herbert Spohn

We study the quantum dynamics of a spin-orbit (SO) coupled Bose-Einstein condensate (BEC) in a double-well potential inspired by the experimental protocol recently developed by NIST group. We focus on the regime where the number of atoms is…

Quantum Gases · Physics 2015-06-19 Roberta Citro , Adele Naddeo

We investigate the expansion dynamics of a Bose-Einstein condensate that consists of two components and is initially confined in a quasi-one-dimensional trap. We classify the possible initial states of the two-component condensate by taking…

Quantum Gases · Physics 2017-08-23 S. K. Ivanov , A. M. Kamchatnov

We analyze spatio-temporal structures in the Gross-Pitaevskii equation to study the dynamics of quasi-one-dimensional Bose-Einstein condensates (BECs) with mean-field interactions. A coherent structure ansatz yields a parametrically forced…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , Predrag Cvitanovic

We study modulation instability (MI) of flat states in two-component spin-orbit-coupled (SOC) Bose-Einstein condensates (BECs) in the framework of coupled Gross-Pitaevskii equations for two components of the pseudospinor wave function. The…

Quantum Gases · Physics 2023-04-14 Ishfaq Ahmad Bhat , T. Mithun , B. A. Malomed , K. Porsezian

We study a dilute Bose gas of atoms whose scattering length a is large compared to the range of their interaction. We calculate the energy density of the homogeneous Bose-Einstein condensate to second order in the low-density expansion,…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer , Thomas Mehen

For a system of identical Bose particles sitting on integer energy levels, we give sharp estimates for the convergence of the sequence of occupation numbers to the Bose-Einstein distribution and for the Bose condensation effect.

Probability · Mathematics 2008-12-31 V. P. Maslov , V. E. Nazaikinskii

The collective properties of different quasiparticles in various graphene based structures in high magnetic field have been studied. We predict Bose-Einstein condensation (BEC) and superfluidity of 2D spatially indirect magnetoexcitons in…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Oleg L. Berman , Roman Ya. Kezerashvili , Yurii E. Lozovik

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

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

A Bose-Einstein condensate (BEC) is a quantum fluid that gives rise to interesting shock wave nonlinear dynamics. Experiments depict a BEC that exhibits behavior similar to that of a shock wave in a compressible gas, eg. traveling fronts…

Other Condensed Matter · Physics 2009-11-11 M. A. Hoefer , M. J. Ablowitz , I. Coddington , E. A. Cornell , P. Engels , V. Schweikhard

One-particle reduced density matrix functional theory would potentially be the ideal approach for describing Bose-Einstein condensates. It namely replaces the macroscopically complex wavefunction by the simple one-particle reduced density…

Quantum Gases · Physics 2021-04-13 Julia Liebert , Christian Schilling

We apply density functional theory band structure calculations and quantum Monte Carlo simulations to investigate the Bose-Einstein condensation in the spin-1/2 quantum magnet Pb2V3O9. In contrast to previous conjectures on the…

Strongly Correlated Electrons · Physics 2011-02-21 Alexander A. Tsirlin , Helge Rosner

We demonstrate detection of a weak alternate-current magnetic field by application of the spin echo technique to F = 2 Bose-Einstein condensates. A magnetic field sensitivity of 12 pT/Hz^1/2 is attained with the atom number of 5*10^3 at…

We consider stationary and propagating solutions for a Bose-Einstein condensate in a periodic optical potential with an additional confining optical or magnetic potential. Using an effective mass approximation we express the condensate…

Condensed Matter · Physics 2007-05-23 M. J. Steel , Weiping Zhang
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