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We review two recent results on the ground state properties of bosonic systems trapped by a double well external potential. In the limit of large population and large separation between the wells we prove that fluctuations in the number of…

Mathematical Physics · Physics 2022-07-13 Alessandro Olgiati

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

A self-trapped Bose-Einstein condensate is shown to be stabilized in two-dimensional free space by Rabi oscillations between two hyperfine states which make an effective interatomic interaction oscillate in time. The stabilization mechanism…

Other Condensed Matter · Physics 2009-11-13 Hiroki Saito , Randall G. Hulet , Masahito Ueda

For a weakly interacting Bose-Einstein condensate in a double well, an appropriate time-dependent modulation of the trapping potential counter-acts the "self-trapping" effects of the interactions, thereby allowing tunneling between the…

Soft Condensed Matter · Physics 2007-05-23 Christoph Weiss , Tharanga Jinasundera

We analyse the formation and the dynamics of quantum turbulence in a two-dimensional Bose-Einstein condensate with a Josephson junction barrier modelled using the Gross-Pitaevskii equation. We show that a sufficiently high initial…

Quantum Gases · Physics 2020-06-24 Adam Griffin , Sergey Nazarenko , Davide Proment

The energy band structure and energy splitting due to quantum tunneling in two weakly linked Bose-Einstein condensates were calculated by using the instanton method. The intrinsic coherent properties of Bose Josephson junction were…

Soft Condensed Matter · Physics 2009-11-10 Wei-Dong Li , Yunbo Zhang , J. -Q. Liang

We discuss the dynamics of a Bose-Einstein condensate initially loaded into every third site of an optical lattice using a description based upon the discrete nonlinear Schrodinger equation. An analytic solution is developed for the case of…

Soft Condensed Matter · Physics 2016-08-31 Ana M. Rey , P. B. Blakie , Charles W. Clark

We consider a weakly interacting coherently coupled Bose-Einstein condensate in a double-well potential. We show by means of stochastic simulations that the system could possibly be driven to an entangled macroscopic superposition state or…

Statistical Mechanics · Physics 2022-09-21 J. Ruostekoski

The relative phase of two initially independent Bose-Einstein condensates can be laser cooled to unite the two condensates by putting them into a ring cavity and coupling them with an internal Josephson junction. First, we show that this…

Condensed Matter · Physics 2009-11-07 D. Jaksch , S. A. Gardiner , K. Schulze , J. I. Cirac , P. Zoller

Rotation and quantum tunneling are fundamental concepts in physics, and their interplay in the ultracold atomic systems is of particular interest. In this theoretical work, we explore how tunneling dynamics in a bosonic Josephson junction…

Quantum Gases · Physics 2026-01-21 Rhombik Roy , Ofir E. Alon

Two spatially separate Bose-Einstein condensates were prepared in an optical double-well potential. A bidirectional coupling between the two condensates was established by two pairs of Bragg beams which continuously outcoupled atoms in…

Other Condensed Matter · Physics 2009-11-11 Y. Shin , G. -B. Jo , M. Saba , T. A. Pasquini , W. Ketterle , D. E. Pritchard

Starting from a quantum two-mode Bose-Hubbard Hamiltonian we determine the ground state properties, momentum distribution and dynamical evolution for a Bose Josephson junction realized by an ultracold Bose gas in a double-well trap. Varying…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Ferrini , A. Minguzzi , F. W. J. Hekking

Dynamical properties of the Bose-Einstein condensate in double-well potential subject to Gaussian white noise are investigated by numerically solving the time-dependent Gross-Pitaevskii equation. The Gaussian white noise is used to describe…

Quantum Gases · Physics 2015-06-15 Hanlei Zheng , Yajiang Hao , Qiang Gu

A two-component Bose-Einstein condensate confined in an axially-symmetric potential with two local minima, resembling two concentric annular traps, is investigated. The system shows a number of quantum phase transitions that result from the…

Quantum Gases · Physics 2015-05-14 F. Malet , G. M. Kavoulakis , S. M. Reimann

The Josephson dynamics of the Bose-Einstein condensation with Raman-induced spin-orbit coupling is investigated. A quasi-1D trap is divided into two reservoirs by an optical barrier. Before the tunneling between the reservoirs is turned on,…

Quantum Gases · Physics 2025-07-09 Chunyuan Shan , Xiaoyu Dai , Boyang Liu

We propose an experiment that would demonstrate nonlinear Josephson-type oscillations in the relative population of a driven, two-component Bose-Einstein condensate. An initial state is prepared in which two condensates exist in a magnetic…

Condensed Matter · Physics 2009-10-31 J. Williams , R. Walser , J. Cooper , E. Cornell , M. Holland

We develop a three-dimensional analysis of the phase separation of two-species Bose-Einstein condensates in the presence of vorticity within the Thomas-Fermi approximation. We find different segregation features according to whether the…

Soft Condensed Matter · Physics 2009-11-07 D. M. Jezek , P. Capuzzi , H. M. Cataldo

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

BEC-based quantum sensors offer a huge, yet not fully explored potential in gravimetry and ac- celerometry. In this paper, we study a possible setup for such a device, which is a weakly interacting Bose gas trapped in a double-well…

Quantum Gases · Physics 2026-04-24 Kateryna Korshynska , Sebastian Ulbricht

We analize the dynamics of two trapped interacting Bose-Einstein condensates and indentify two regimes for the evolution: the regime of slow periodic oscillations and the regime of strong non-linear mixing leading to the damping of the…

Statistical Mechanics · Physics 2016-08-31 A. Sinatra , P. O. Fedichev , Y. Castin , J. Dalibard , G. V. Shlyapnikov
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