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We study the relaxation dynamics of quantum turbulence in a two-component Bose-Einstein condensate containing half-quantum vortices. We find a temporal scaling regime for the number of vortices and the correlation lengths that at early…

量子气体 · 物理学 2021-10-07 M. T. Wheeler , H. Salman , M. O. Borgh

We investigate the mean-field energy spectrum and dynamics in a Bose-Einstein condensate in a double-well potential with non-Hermiticity from the nonreciprocal hopping, and show that the interplay of nonreciprocity and nonlinearity leads to…

量子气体 · 物理学 2021-12-21 Yi-Piao Wu , Guo-Qing Zhang , Cai-Xia Zhang , Jian Xu , Dan-Wei Zhang

Using the explicit numerical solution of the axially-symmetric Gross-Pitaevskii equation we study the oscillation of the Bose-Einstein condensate induced by a periodic variation in the atomic scattering length $a$. When the frequency of…

软凝聚态物质 · 物理学 2009-11-07 Sadhan K. Adhikari

Using Gross-Pitaevskii equation, we study the time reversibility of Bose-Einstein condensates (BEC) in kicked optical lattices, showing that inside the regime of quantum chaos the dynamics can be inverted from explosion to collapse. The…

统计力学 · 物理学 2008-08-13 J. Martin , B. Georgeot , D. L. Shepelyansky

We study a non-Hermitian $PT-$symmetric generalization of an $N$-particle, two-mode Bose-Hubbard system, modeling for example a Bose-Einstein condensate in a double well potential coupled to a continuum via a sink in one of the wells and a…

数学物理 · 物理学 2008-05-31 E. M. Graefe , U. Guenther , H. J. Korsch , A. E. Niederle

The stability of a low temperature Bose-Einstein condensate with attractive interactions in one and three dimensional double-well potentials is discussed. In particular, the tunnelling dynamics of a condensate under the influence of a…

其他凝聚态物理 · 物理学 2009-11-10 E. Sakellari , N. P. Proukakis , C. S. Adams

We study the spectrum of elementary excitations of a dipolar Bose gas in a three-dimensional anisotropic trap across the superfluid-supersolid phase transition. Theoretically, we show that, when entering the supersolid phase, two distinct…

量子气体 · 物理学 2019-08-12 G. Natale , R. M. W. van Bijnen , A. Patscheider , D. Petter , M. J. Mark , L. Chomaz , F. Ferlaino

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous…

数学物理 · 物理学 2007-05-23 J. Lauwers , A. Verbeure , V. A. Zagrebnov

In this paper we study a general nonlinear Schr\"odinger equation with a time dependent harmonic potential. Despite the lack of traslational invariance we find a symmetry trasformation which, up from any solution, produces infinitely many…

软凝聚态物质 · 物理学 2007-05-23 Juan J. Garcia-Ripoll , Victor M. Perez-Garcia , Vadym Vekslerchik

An unstable condensate of diatomic molecules will coherently disassociate into correlated pairs of atoms. This dissociation process exhibits very rich quantum dynamics depending on the quantum statistics of the constituent atoms. We show…

其他凝聚态物理 · 物理学 2009-11-11 Michael W. Jack , Han Pu

We present a numerical study of the time-dependent and time-independent Gross-Pitaevskii (GP) equation in two space dimensions, which describes the Bose-Einstein condensate of trapped bosons at ultralow temperature with both attractive and…

软凝聚态物质 · 物理学 2009-10-31 Sadhan K. Adhikari

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 show that the spatial dimensionality of the quantum critical point associated with Bose--Einstein condensation at T=0 is reduced when the underlying lattice comprises a set of layers coupled by a frustrating interaction. For this…

强关联电子 · 物理学 2009-11-13 J. Schmalian , C. D. Batista

Linear response of simple (i.e., condensed) Bose-Einstein condensates is known to lead to the Bogoliubov- de Gennes equations. Here, we derive linear response for fragmented Bose-Einstein condensates, i.e., for the case where the many-body…

量子气体 · 物理学 2013-04-02 Julian Grond , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

Bose-Einstein symmetrization can lead to correlations between out going identical particles which reflect the space-time extent of the collision process. At LEP and LEPII these correlations have been studied as a function of a single…

高能物理 - 唯象学 · 物理学 2009-10-31 Mark Smith

The formation process of a Bose-Einstein condensate in a trap is described using a master equation based on quantum kinetic theory, which can be well approximated by a description using only the condensate mode in interaction with a…

量子物理 · 物理学 2009-10-30 C. W. Gardiner , P. Zoller , R. J. Ballagh , M. J. Davis

It is proven that periodically varying and sign definite nonlinearity in a general case does not prevent collapse in two- and three-dimensional nonlinear Schrodinger equations: at any oscillation frequency of the nonlinearity blowing up…

其他凝聚态物理 · 物理学 2009-11-11 V. V. Konotop , P. Pacciani

We present a consistent second order perturbation theory for the lowest-lying condensed modes of very small, weakly-interacting Bose-Einstein condensates in terms of bare particle eigenstates in a harmonic trap. After presenting our general…

凝聚态物理 · 物理学 2007-05-23 N. P. Proukakis , P. Lambropoulos

We study the instability of a ring Bose-Einstein condensate under a periodic modulation of inter-atomic interactions. The condensate exhibits temporal and spatial patterns induced by the parametric resonance, which can be characterized by…

量子气体 · 物理学 2019-02-20 Chen-Xi Zhu , Wei Yi , Guang-Can Guo , Zheng-Wei Zhou

We consider the dynamics of a gas of free bosons within a semi-classical Fokker-Planck equation for which we give a physical justification. In this context, we find a striking similarity between the Bose-Einstein condensation in the…

统计力学 · 物理学 2009-11-11 Julien Sopik , Clement Sire , Pierre-Henri Chavanis
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