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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

The dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential is studied. We compare the exact dynamics governed by a full two-body Hamiltonian with the dynamics obtained in a two-mode model approximation. We…

Quantum Gases · Physics 2024-04-22 Jacek Dobrzyniecki , Tomasz Sowiński

In this article, we study the two-mode method to analyze the Josephson oscillation for a trapped binary Bose-Einstein condensate while taking into account the beyond mean-field and three body interactions. For this purpose, we use the…

Quantum Gases · Physics 2026-02-03 Shivam Singh , Ibrar , Suhail Rashid , Ayan Khan

We investigate the rotational phase diagram of a quasi-two-dimensional, weakly-interacting Bose-Einstein condensate confined in power-law and in hard-wall trapping potentials. For weak interactions, the system undergoes discontinuous…

Quantum Gases · Physics 2026-04-01 G. M. Kavoulakis

The dynamics of Josephson-like oscillations between two coupled Bose-Einstein condensates is studied using the time-dependent variational method. We suppose that the quantum state of the condensates is a gaussian wave-packet which can…

Soft Condensed Matter · Physics 2009-10-31 Chi-Yong Lin , E. J. V. de Passos , Da-Shin Lee

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…

Quantum Gases · Physics 2015-05-20 G. Mazzarella , B. Malomed , L. Salasnich , M. Salerno , F. Toigo

We present a theoretical study of the ground state of a Bose-Einstein condensate with repulsive inter-particle interactions in a double-well potential, using a restricted variational principle. Within such an approach, there is a transition…

Quantum Physics · Physics 2009-10-31 R. W. Spekkens , J. E. Sipe

We study the mean-field dynamics and the reduced-dimension character of two-mode Bose-Einstein condensates (BECs) in highly anisotropic traps. By means of perturbative techniques, we show that the tightly confined (transverse) degrees of…

Quantum Gases · Physics 2013-02-07 Alexandre B. Tacla , Carlton M. Caves

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 discuss coherent atomic oscillations between two weakly coupled Bose-Einstein condensates that are energetically different. The weak link is notionally provided by a laser barrier in a (possibly asymmetric) multi-well trap or by Raman…

Quantum Gases · Physics 2022-05-25 John D. Andersen , Srikanth Raghavan , V. M. Kenkre

We study the dynamics of a Bose-Einstein condensate in a double-well potential in the mean-field approximation. Decoherence effects are considered by analyzing the couplings of the condensate to environments. Two kinds of coupling are taken…

Quantum Physics · Physics 2015-05-13 W. Wang , L. B. Fu , X. X. Yi

Dynamics of the double-well Bose-Einstein condensate subject to energy dissipation is studied by solving a reduced one-dimensional time-dependent Gross-Pitaevskii equation numerically. We first reproduce the phase space diagram of the…

Quantum Gases · Physics 2013-04-23 Hanlei Zheng , Yajiang Hao , Qiang Gu

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 present a new approach for the analysis of Bose-Einstein condensates in a few mode approximation. This method has already been used to successfully analyze the vibrational modes in various molecular systems and offers a new perspective…

Quantum Physics · Physics 2009-11-13 S. Mossmann , C. Jung

We study the decay dynamics of an interacting Bose-Einstein condensate in the presence of a metastable trapping potential from which the condensate can escape via tunneling through finite barriers. The time-dependent decay process is…

Other Condensed Matter · Physics 2015-06-25 Peter Schlagheck , Sandro Wimberger

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 quantum dynamical properties of a spin-1 atomic Bose-Einstein condensate in a double-well potential. Adopting a mean field theory and single spatial mode approximation, we characterize our model system as two coupled spins. For…

Quantum Physics · Physics 2009-11-11 Ö. E. Müstecaplıoğlu , M. Zhang , L. You

We analyze the coherent multi-mode dynamics of a system of coupled atomic and molecular Bose gases. Starting from an atomic Bose-Einstein condensate with a small thermal component, we observe a complete depletion of the atomic and molecular…

Condensed Matter · Physics 2007-05-23 K. Goral , M. Gajda , K. Rzazewski

We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady state solutions and their stability. By employing a…

Quantum Gases · Physics 2010-12-09 R. Navarro , R. Carretero-Gonzalez , P. G. Kevrekidis

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