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We consider the precise quantum state of two trapped, coupled Bose Einstein condensates in the two-mode approximation. We seek a representation of the state in terms of a Wigner-like distribution on the two-mode Bloch sphere. The problem is…

Condensed Matter · Physics 2009-10-30 M. J. Steel , M. J. Collett

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

The miscibility-immiscibility phase transition in binary Bose-Einstein condensates (BECs) can be controlled by a coupling between the two components. Here we propose a new scheme that uses coupling-induced pattern formation to test the…

Quantum Gases · Physics 2012-09-14 Jacopo Sabbatini , Wojciech H. Zurek , Matthew J. Davis

We investigate the formation of steady states in one-dimensional Bose-Einstein condensates of repulsively interacting ultracold atoms loaded into a quasiperiodic potential created by two incommensurate periodic lattices. We study the…

Pattern Formation and Solitons · Physics 2024-12-03 Dmitry A. Zezyulin , Georgy L. Alfimov

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

Statistical Mechanics · Physics 2015-06-25 Juan Pablo Fernández , William J. Mullin

We investigate the dynamics of two-component Bose-Josephson junction composed of atom-molecule BECs. Within the semiclassical approximation, the multi-degree of freedom of this system permits chaotic dynamics, which does not occur in…

Quantum Gases · Physics 2009-11-11 A. Motohashi , T. Nikuni

We introduce a system of two linearly coupled discrete nonlinear Schr\"{o}dinger equations (DNLSEs), with the coupling constant subject to a rapid temporal modulation. The model can be realized in bimodal Bose-Einstein condensates (BEC).…

Pattern Formation and Solitons · Physics 2010-11-23 H. Susanto , P. G. Kevrekidis , F. Kh. Abdullaev , Boris A. Malomed

We consider stationary states of an effectively one-dimensional Bose-Einstein condensate in a quasiperiodic lattice. We formulate sufficient conditions for a one-to-one correspondence between the stationary states with a fixed chemical…

Pattern Formation and Solitons · Physics 2026-02-20 G. L. Alfimov , A. P. Fedotov , Ya. A. Murenkov , D. A. Zezyulin

We consider a Bose-Einstein condensate in a double-well potential undergoing a dynamical transition from the regime of Josephson oscillations to the regime of self-trapping. We analyze the statistical properties of the ground state (or the…

Quantum Gases · Physics 2010-05-13 B. Julia-Diaz , D. Dagnino , M. Lewenstein , J. Martorell , A. Polls

Considering a two-component Bose-Einstein condensate in a double-well potential, a method to generate a Bell state consisting of two spatially separated condensates is suggested. For repulsive interactions, the required tunnelling control…

Other Condensed Matter · Physics 2008-01-01 Niklas Teichmann , Christoph Weiss

We present a quantum phase space model of Bose-Einstein condensate (BEC) in a double well potential. In a two-mode Fock-state analysis we examine the eigenvectors and eigenvalues and find that the energy correlation diagram indicates a…

Soft Condensed Matter · Physics 2009-11-10 Khan W. Mahmud , Heidi Perry , William P. Reinhardt

It is shown that the interface in a two-component Bose-Einstein condensate (BEC) in which one component exhibits a dipole-dipole interaction spontaneously forms patterns similar to those formed in a magnetic liquid subject to a magnetic…

Other Condensed Matter · Physics 2015-05-13 Hiroki Saito , Yuki Kawaguchi , Masahito Ueda

Techniques to manipulate the individual constituents of an ultracold mixture are key to investigating impurity physics. In this work, we confine a mixture of the hyperfine ground states of Rb-87 in a double-well potential. The potential is…

Quantum Gases · Physics 2020-07-10 A. J. Barker , S. Sunami , D. Garrick , A. Beregi , K. Luksch , E. Bentine , C. J. Foot

We introduce a one-dimensional two-component system with the self-focusing cubic nonlinearity concentrated at a symmetric set of two spots. Effects of the spontaneous symmetry breaking (SSB) of localized modes were previously studied in the…

Pattern Formation and Solitons · Physics 2015-06-04 Arturas Acus , Boris A. Malomed , Yakov Shnir

We study some effects arising from periodic modulation of the asymmetry and the barrier height of a two-well potential containing a Bose-Einstein condensate. At certain modulation frequencies the system exhibits resonances, which may lead…

Quantum Physics · Physics 2009-11-10 H. L. Haroutyunyan , G. Nienhuis

Dipolar Bose-Einstein condensates in triple-well potentials are well-suited model systems for periodic optical potentials with important contributions of the non-local and anisotropic dipole-dipole interaction, which show a variety of…

Quantum Physics · Physics 2013-11-08 Rüdiger Fortanier , Damir Zajec , Jörg Main , Günter Wunner

Bose-Einstein condensates loaded in one-dimensional bichromatic optical lattices with constituent sublattices having incommensurate periods is considered. Using the rational approximations for the incommensurate periods, we show that below…

Quantum Gases · Physics 2022-08-23 Henrique C. Prates , Dmitry A. Zezyulin , Vladimir V. Konotop

Here, we consider damped two-components Bose-Einstein condensates with many-body interactions. We show that, when the external trapping potential has a double-well shape and when the nonlinear coupling factors are modulated in time,…

Quantum Physics · Physics 2015-05-19 Andrea Sacchetti

A three- and five-component nonlinear Schrodinger-type models, which describe spinor Bose-Einstein condensates (BEC's) with hyperfine structures F=1 and F=2 respectively, are studied. These models for particular values of the coupling…

Exactly Solvable and Integrable Systems · Physics 2017-02-22 V. S. Gerdjikov , A. Kostov , T. I. Valchev

We study nonlinear dynamics of Rydberg-dressed Bose-Einstein condensates (BECs) trapped in a triple-well potential in the semiclassical limit. The Rydberg-dressed BECs experience a long-range soft-core interaction, giving rise to strong…

Quantum Gases · Physics 2021-01-06 Gary McCormack , Rejish Nath , Weibin Li
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