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We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disordered phase across an entire critical region continuously. We…

Statistical Mechanics · Physics 2015-11-27 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

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

We investigate the dynamical behavior of the Gross-Pitaevskii equation for a Bose-Einstein condensate trapped in a spherical power law potential restricted to the repulsive case, from the dynamical system formalism point of view. A…

Quantum Gases · Physics 2018-09-19 Elías Castellanos , Celia Escamilla-Rivera , Mayra J. Reyes-Ibarra

A two-dimensional Bose-Einstein condensate (BEC) split by a radial potential barrier is investigated. We determine on an accurate many-body level the system's ground-state phase diagram as well as a time-dependent phase diagram of the…

The particle distribution in a Bose condensate under the trapping potential and its time evolution after switching off the trapping potential suddenly are calculated. We investigate the problem from the viewpoint of quantum field…

Condensed Matter · Physics 2007-05-23 Koichi Nakamura , Yoshiya Yamanaka

We simulate the dissipative evolution of a vortex in a trapped finite-temperature dilute-gas Bose-Einstein condensate using first-principles open-systems theory. Simulations of the complete stochastic projected Gross-Pitaevskii equation for…

Quantum Gases · Physics 2016-06-08 S. J. Rooney , A. J. Allen , U. Zülicke , N. P. Proukakis , A. S. Bradley

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

Quantum Physics · Physics 2012-12-27 Alexej Schelle

The nonlinear dynamics of a Bose-Einstein condensate (BEC) of dipolar excitons trapped in an external confining potential in coupled quantum wells is analysed. It is demonstrated that under typical experimental conditions the dipolar…

Quantum Gases · Physics 2012-07-17 O. L. Berman , R. Ya. Kezerashvili , G. V. Kolmakov , Yu. E. Lozovik

Large scale numerical simulations of the Gross-Pitaevskii equation are used to elucidate the self-evolution of a Bose gas from a strongly non-equilibrium initial state. The stages of the process confirm and refine the theoretical scenario…

Soft Condensed Matter · Physics 2007-05-23 Natalia G. Berloff , Boris V. Svistunov

A Bose-Einstein condensate in a double-well potential features stationary solutions even for attractive contact interaction as long as the particle number and therefore the interaction strength do not exceed a certain limit. Introducing…

Quantum Physics · Physics 2015-03-31 Daniel Dizdarevic , Dennis Dast , Daniel Haag , Jörg Main , Holger Cartarius , Günter Wunner

Most of the work done in the field of Bose-Einstein condensates with balanced gain and loss has been performed in the mean-field approximation using the PT-symmetric Gross-Pitaevskii equation. In this work we study the many-particle…

Quantum Physics · Physics 2016-11-09 Dennis Dast , Daniel Haag , Holger Cartarius , Jörg Main , Günter Wunner

We discuss Bose-Einstein condensation in a trapped gas of bosonic particles interacting dominantly via dipole-dipole forces. We find that in this case the mean-field interparticle interaction and, hence, the stability diagram are governed…

Condensed Matter · Physics 2009-10-31 L. Santos , G. V. Shlyapnikov , P. Zoller , M. Lewenstein

We investigate the energy structures and the dynamics of a Bose-Einstein condensates (BEC) in a triple-well potential coupled a high finesse optical cavity within a mean field approach. Due to the intrinsic atom-cavity field nonlinearity,…

Quantum Gases · Physics 2012-07-13 Lei Tan , Bin Wang , Peter Barker , Wu-Ming Liu

We study the quantum dynamics of a BEC condensate trapped in a double-well potential with a rising interwell barrier. We analytically find the characteristic time scales of the splitting process and compare our results with numerical…

Statistical Mechanics · Physics 2009-11-10 L. Pezze , A. Smerzi , G. P. Berman , A. R. Bishop , L. A. Collins

The dynamics of a mean-field model of three coupled condensates is studied for initial states characterized by twin condensates. Condensates occupy an open three-well chain, where the central potential-well depth is an independent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Buonsante , R. Franzosi , V. Penna

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

Coherence dynamics of two-species Bose-Einstein condensates in double wells is investigated in mean field approximation. We show that the system can exhibit decoherence phenomena even without the condensate-environment coupling and the…

Quantum Gases · Physics 2015-05-27 Li-Hua Lu , Xiao-Qiang Xu , You-Quan Li

We study the time-evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. Under a physically motivated assumption on the energy of the initial data, we show that condensation is preserved by the many-body…

Mathematical Physics · Physics 2019-03-13 Christian Brennecke , Benjamin Schlein

We study the static and the dynamic response of coherently coupled two component Bose-Einstein condensates due to a spin-dipole perturbation. The static dipole susceptibility is determined and it is shown to be a key quantity to identify…

Quantum Gases · Physics 2015-09-30 Alberto Sartori , Jamir Marino , Sandro Stringari , Alessio Recati

We revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-Einstein condensates, under the action of strong confinement in one direction ($z$), to a 2D mean-field equation. We address this problem for the…

Quantum Gases · Physics 2020-10-14 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso