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We present a theory of measurement-induced interference for weakly interacting Bose-Einstein condensed (BEC) gases. The many-body state resulting from the evolution of an initial fragmented (Fock) state can be approximated as a continuous…

统计力学 · 物理学 2009-11-13 G. S. Paraoanu

The dynamics of a two-component dilute Bose gas of atoms at zero temperature is described in the mean field approximation by a two-component Gross-Pitaevskii Equation. We solve this equation assuming a Gaussian shape for the wavefunction,…

凝聚态物理 · 物理学 2016-08-31 Th. Busch , J. I. Cirac , V. M. Perez-Garcia , P. Zoller

In this work, we study many-body excitations of Bose-Einstein condensates (BECs) trapped in periodic one-dimensional optical lattices. In particular, we investigate the impact of quantum depletion onto the structure of the low-energy…

We investigate multiparticle excitation effect on a collective density excitation as well as a single-particle excitation in a weakly interacting Bose--Einstein condensate (BEC). We find that although the weakly interacting BEC offers weak…

量子气体 · 物理学 2018-03-19 Shohei Watabe

Rotational Bose-Einstein condensates can exhibit quantized vortices as topological excitations. In this study, the ground and excited states of the rotational Bose-Einstein condensates are systematically studied by calculating the…

量子气体 · 物理学 2023-12-05 Jianyuan Yin , Zhen Huang , Yongyong Cai , Qiang Du , Lei Zhang

We theoretically explore the phase transition in inhomogeneous exciton-polariton condensates with variable pumping conditions. Through Bogoliubov excitations to the radial-symmetric solutions of complex Gross-Pitaevskii equation, we…

量子气体 · 物理学 2015-06-17 Ting-Wei Chen , Min g-Dar Wei , Szu-Cheng Cheng , Wen-Feng Hsieh

We investigate the dynamics of Bose-Einstein condensates (BEC) in a tilted one-dimensional periodic lattice within the mean-field (Gross-Pitaevskii) description. Unlike in the linear case the Bloch oscillations decay because of nonlinear…

其他凝聚态物理 · 物理学 2009-11-10 D. Witthaut , M. Werder , S. Mossmann , H. J. Korsch

We study the rotational properties of a two-component Bose-Einstein condensed gas of distinguishable atoms which are confined in a ring potential using both the mean-field approximation, as well as the method of diagonalization of the…

A kinetic approach to the Bose-Einstein condensates (BECs) is proposed, based on the Wigner-Moyal equation (WME). In the quasi-classical limit, the WME reduces to the particle number conservation equation. Two examples of application are:…

斑图形成与孤子 · 物理学 2009-11-11 J. T. Mendonca , R. Bingham , P. K. Shukla

We present a method of finding approximate analytical solutions for the spectra and eigenvectors of collective modes in a two-dimensional system of interacting bosons subjected to a linear external potential or the potential of a special…

软凝聚态物质 · 物理学 2009-10-31 D. V. Fil , S. I. Shevchenko

We consider a Bose-Einstein condensate of bosons with repulsion, described by the Gross-Pitaevskii equation and restricted by an impenetrable "hard wall" (either rigid or flexible) which is intended to suppress the "snake instability"…

量子气体 · 物理学 2014-05-21 Peter V. Pikhitsa

We investigate the dynamics of two-component Bose-Einstein condensates (BECs), composed of atoms in two distinct hyperfine states, which are linearly coupled by two-photon Raman transitions. The condensate is loaded into a double-well…

量子气体 · 物理学 2015-05-20 G. Mazzarella , B. Malomed , L. Salasnich , M. Salerno , F. Toigo

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…

数学物理 · 物理学 2009-11-07 Elliott H. Lieb , Robert Seiringer

This review explores the dynamics and the low-energy excitation spectra of Bose-Einstein condensates (BECs) of interacting bosons in external potential traps putting particular emphasis on the emerging many-body effects beyond mean-field…

量子气体 · 物理学 2021-01-29 Ofir E. Alon , Raphael Beinke , Lorenz S. Cederbaum

We solve the Bogoliubov--de Gennes equations for an inhomogeneous condensate in the vicinity of a linear turning point. A stable integration scheme is developed using a transformation into an adiabatic basis. We identify boundary modes…

量子气体 · 物理学 2015-07-13 Abdoulaye Diallo , Carsten Henkel

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…

混沌动力学 · 物理学 2009-11-10 Mason A. Porter , Predrag Cvitanovic

We describe repulsively interacting Bose-Einstein condensates in spatially correlated disorder potentials of arbitrary dimension. The first effect of disorder is to deform the mean-field condensate. Secondly, the quantum excitation spectrum…

量子气体 · 物理学 2011-06-28 Christopher Gaul , Cord A. Müller

We derive the mean field kinetic equation for the momentum distribution of Bogoliubov excitations (bogolons) in a spatially uniform Bose-Einstein condensate (BEC), with a focus on the collision integrals. We use the method of Peletminksii…

量子气体 · 物理学 2012-02-16 Erich D. Gust , L. E. Reichl

The stability of colliding Bose-Einstein condensates is investigated. A set of coupled Gross-Pitaevskii equations is thus considered, and analyzed via a perturbative approach. No assumption is made on the signs (or magnitudes) of the…

其他凝聚态物理 · 物理学 2009-11-11 I. Kourakis , P. K. Shukla , M. Marklund , L. Stenflo

We have considered a quantum droplet of two components of Bose-Einstein condensate (BEC) inside the electron of a Rydberg atom to study the surface mode of collective excitation using the Bogoliubov theory of excitation. We have calculated…

原子物理 · 物理学 2025-05-15 Avra Banerjee , Dwipesh Majumder