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We analyze the model of an atomic Bose-Einstein condensate (BEC) parametrically coupled to a molecular BEC via a photoassociation process. We show that an interplay of nonlinear inter- and intra-species interactions leads to the formation…

Condensed Matter · Physics 2021-05-26 Benedict J. Cusack , Tristram J. Alexander , Elena A. Ostrovskaya , Yuri S. Kivshar

The phase transition to a Bose-Einstein condensate is unusual in that it is not necessarily driven by inter-particle interactions but can occur in an ideal gas as a result of a purely statistical saturation of excited states. However,…

Quantum Gases · Physics 2012-03-12 Robert P. Smith , Zoran Hadzibabic

We investigate the many-body state and the static and the dynamic behaviour of the pair-correlation function of a Bose-Einstein condensate with a finite atom number, which is confined in a quasi-one-dimensional toroidal/annular potential,…

Quantum Gases · Physics 2022-09-26 A. Roussou , J. Smyrnakis , M. Magiropoulos , G. M. Kavoulakis

We present a method to study the dynamics of a quasi-two dimensional Bose-Einstein condensate which contains initially many vortices at arbitrary locations. We present first the analytical solution of the dynamics in a homogeneous medium…

We examine the problem of a repulsive, weakly-interacting and harmonically trapped Bose-Einstein condensate under rotation. We derive a simple analytic expression for the energy incorporating the interactions when the angular momentum per…

Condensed Matter · Physics 2009-10-31 A. D. Jackson , G. M. Kavoulakis

Fragmented Bose-Einstein condensates are large systems of identical bosons displaying \emph{multiple} macroscopic occupations of one-body states, in a suitable sense. The quest for an effective dynamics of the fragmented condensate at the…

Mathematical Physics · Physics 2024-05-01 Jinyeop Lee , Alessandro Michelangeli

The dispersive interaction of a Bose-Einstein condensate with a single mode of a high-finesse optical cavity realizes the radiation pressure coupling Hamiltonian. In this system the role of the mechanical oscillator is played by a single…

Quantum Physics · Physics 2013-07-26 D. Nagy , G. Szirmai , P. Domokos

Improved control of the motional and internal quantum states of ultracold neutral atoms and ions has opened intriguing possibilities for quantum simulation and quantum computation. Many-body effects have been explored with hundreds of…

Quantum Gases · Physics 2010-08-31 Christoph Zipkes , Stefan Palzer , Carlo Sias , Michael Köhl

We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we…

Mathematical Physics · Physics 2025-11-13 Marius Lemm , Simone Rademacher , Jingxuan Zhang

The first- and second-order correlation functions of trapped, interacting Bose-Einstein condensates are investigated numerically on a many-body level from first principles. Correlations in real space and momentum space are treated. The…

Other Condensed Matter · Physics 2008-08-18 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

Quantum effects in a system of coupled atomic and molecular Bose-Einstein condensates in the framework of a two-mode model are studied numerically and analytically, using the discrete WKB approach. In contrast to the mean-field…

Other Condensed Matter · Physics 2007-05-23 J. Dorignac , Yu. B. Gaididei , J. C. Eilbeck , P. L. Christiansen , C. Katerji

We investigate the quantum dynamics of a harmonically trapped particle (e.g. an ion) that is immersed in a Bose--Einstein condensate. The ultracold environment acts as a refrigerator, and thus, the influence on the motion of the ion is…

Quantum Physics · Physics 2017-07-19 Paula Ostmann , Walter T. Strunz

We demonstrate dynamic stabilization of an unstable strongly interacting quantum many-body system by periodic manipulation of the phase of the collective states. The experiment employs a spin-1 atomic Bose condensate initialized to an…

Quantum Gases · Physics 2015-06-11 T. M. Hoang , C. S. Gerving , B. J. Land , M. Anquez , C. D. Hamley , M. S. Chapman

We develop a mean-field model describing the Hamiltonian interaction of ultracold atoms and the optical field in a cavity. The Bose-Einstein condensate is properly defined by means of a grand-canonical approach. The model is efficient…

Quantum Physics · Physics 2011-11-18 G. Konya , G. Szirmai , P. Domokos

We consider a Bose-Einstein condensate with repulsive interactions confined in a 1D ring where a Dirac delta is rotating at constant speed. The spectrum of stationary solutions in the delta comoving frame is analyzed in terms of the…

Quantum Gases · Physics 2020-02-26 Axel Pérez-Obiol , Taksu Cheon

Open quantum systems theory is central to describing the dynamics and equilibration of dilute-gas Bose-Einstein condensates (BECs). We present an analysis of the linearized stochastic projected Gross-Pitaevskii equation (SPGPE) describing…

Quantum Gases · Physics 2025-09-11 Nils A. Krause , Ashton S. Bradley

We investigate the nonequilibrium dynamics of two-dimensional Bose-Einstein condensates in boxlike traps with power-law potential boundaries by quenching the interatomic interactions. For both concave and convex potentials, we show that…

Pattern Formation and Solitons · Physics 2023-01-02 Rong Du , Jian-Chong Xing , Bo Xiong , Jun-Hui Zheng , Tao Yang

The aim of this work is to investigate how energy depends on the two-body interaction potential in Bose-Einstein condensation (BEC) phenomena. An equation of state is obtained which is valid both for low and high energy BEC, through the…

Other Condensed Matter · Physics 2009-03-28 Vito Barbarani

We present experimental results and a systematic theoretical analysis of dark-br ight soliton interactions and multiple-dark-bright soliton complexes in atomic t wo-component Bose-Einstein condensates. We study analytically the interactions…

We construct a fully self-consistent non-equilibrium theory for the dynamics of two interacting finite-temperature atomic Bose-Einstein condensates. The condensates are described by dissipative Gross-Pitaevskii equations, coupled to quantum…

Quantum Gases · Physics 2015-01-15 M. J. Edmonds , K. L. Lee , N. P. Proukakis