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We discuss the coherent oscillations between two coupled quantum states of a Bose-Einstein condensate in two-dimensional space at zero temperature. In the system we consider, weak interparticle repulsive interactions occur between the…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 N. S. Voronova , Yu. E. Lozovik

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 have used a microfabricated atom chip to split a single Bose-Einstein condensate of sodium atoms into two spatially separated condensates. Dynamical splitting was achieved by deforming the trap along the tightly confining direction into…

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

We study the dynamics of three-dimensional Bose-Einstein condensates confined by double-well potentials using a two-mode model with an effective on-site interaction energy parameter. The effective on-site interaction energy parameter is…

Quantum Gases · Physics 2018-02-27 Mauro Nigro , Pablo Capuzzi , Horacio M. Cataldo , Dora M. Jezek

We investigate how to estimate from atom-position measurements the relative phase of two Bose-Einstein condensates released from a double-well potential. We demonstrate that the phase estimation sensitivity via the fit of the average…

Quantum Gases · Physics 2015-05-19 Jan Chwedenczuk , Francesco Piazza , Augusto Smerzi

We propose a modified Gaussian ansatz to study binary condensates, trapped in harmonic and optical lattice potentials, both in miscible and immiscible domains. The ansatz is an apt one as it leads to the smooth transition from miscible to…

Quantum Gases · Physics 2011-01-11 S. Gautam , D. Angom

We investigate the time evolution of the entanglement entropy of coupled single-mode Bose-Einstein condensates in a double well potential at $T=0$ temperature, by combining numerical results with analytical approximations. We find that the…

Quantum Gases · Physics 2022-04-18 Izabella Lovas , József Fortágh , Eugene Demler , Gergely Zaránd

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 briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We…

Statistical Mechanics · Physics 2009-11-11 D. A. W. Hutchinson , P. B. Blakie

An analytical insight into the symmetry breaking mechanisms underlying the transition from Josephson to self-trapping regimes in Bose-Einstein condensates is presented. We obtain expressions for the ground state properties of the system of…

Quantum Gases · Physics 2010-06-21 B. Julia-Diaz , J. Martorell , A. Polls

We provide a scheme for the generation of controlled entangled number states of Bose-Einstein condensates in multiple wells, and also provide a novel method for the creation of squeezed states without severe adiabatic constraints on barrier…

Other Condensed Matter · Physics 2007-05-23 Khan W. Mahmud , Mary Ann Leung , William P. Reinhardt

We study the phase diagram of a two-dimensional assembly of bosons interacting via a soft core repulsive pair potential of varying strength, and compare it to that of the equivalent system in which particles are regarded as distinguishable.…

Quantum Gases · Physics 2015-06-18 Fabio Cinti , Massimo Boninsegni , Thomas Pohl

We study the behaviour of a Modica-Mortola phase transition type problem with a non-homogeneous Neumann boundary condition. According to the parameters of the problem, this leads to the existence of either one component occupying most of…

Analysis of PDEs · Mathematics 2017-10-11 Amandine Aftalion , Rémy Rodiac

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

We propose a mechanism to change the interaction strengths of a two component condensate. It is shown that the application of pi/2 pulses allows to alter the effective interspecies interaction strength as well as the effective interaction…

Soft Condensed Matter · Physics 2009-11-07 D. Jaksch , J. I. Cirac , P. Zoller

We study the quantum phase transition of the 1D weakly interacting Bose gas in the presence of disorder. We characterize the phase transition as a function of disorder and interaction strengths, by inspecting the long-range behavior of the…

Quantum Gases · Physics 2010-07-08 L. Fontanesi , M. Wouters , V. Savona

We investigate the relative phase coherence properties and the occurrence of demixing instabilities for two mutually interacting and time evolving Bose-Einstein condensates in traps. Our treatment naturally includes the additional…

Condensed Matter · Physics 2009-10-31 Alice Sinatra , Yvan Castin

We investigate the non-equilibrium dynamics across the miscible-immiscible phase separation in a binary mixture of Bose-Einstein condensates. The excitation spectra reveal that the Landau critical velocity vanishes at the critical point,…

Quantum Gases · Physics 2019-03-27 Xunda Jiang , Shuyuan Wu , Qinzhou Ye , Chaohong Lee

We study the distribution of energy level spacings in two models describing coupled single-mode Bose-Einstein condensates. Both models have a fixed number of degrees of freedom, which is small compared to the number of interaction…

Quantum Physics · Physics 2009-11-10 Silvio R. Dahmen , Jon Links , Ross H. McKenzie , Huan-Qiang Zhou

We study a two component Bose-Einstein condensate in the presence of an inhomogeneous artificial gauge field. In response to this field, the condensate forms a localised vortex lattice structure that leads to a non-trivial symmetry breaking…

Quantum Gases · Physics 2020-11-18 S. Sahar S. Hejazi , Juan Polo , Rashi Sachdeva , Thomas Busch