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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 investigate the dynamics of short-range interacting Bose gases with varying degrees of diluteness and interaction strength. By applying a combined mean-field and semiclassical space-time rescaling to the dynamics in both the…

Analysis of PDEs · Mathematics 2025-03-07 Jacky Chong , Shunlin Shen , Zhifei Zhang

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

We study the stability and dynamics of an ultra-cold bosonic gas trapped in a toroidal geometry and driven by rotation, in the absence of dissipation. We first delineate, via the Bogoliubov mode expansion, the regions of stability and the…

Quantum Gases · Physics 2013-01-29 Soheil Baharian , Gordon Baym

In the framework of the stochastic projected Gross-Pitaevskii equation we investigate finite-temperature dynamics of a bosonic Josephson junction (BJJ) formed by a Bose-Einstein condensate of atoms in a two-well trapping potential. We…

Quantum Gases · Physics 2018-09-28 Y. M. Bidasyuk , M. Weyrauch , M. Momme , O. O. Prikhodko

We study the dynamics of a dilute Bose-Einstein condensate confined in a toroidal trap and exposed to a pair of periodically flashed optical lattices. We first prove that in the noninteracting case this system can present a quantum symmetry…

Other Condensed Matter · Physics 2007-09-06 Dario Poletti , Giuliano Benenti , Giulio Casati , Baowen Li

We investigate a non-interacting many-particle bosonic system, placed in an asymmetric double-well potential. We first consider the dynamics of a single particle and determine its time-dependent probabilities to be in the left or the right…

Quantum Physics · Physics 2024-02-21 Kateryna Korshynska , Sebastian Ulbricht

We present an experimental study on the non-equilibrium tunnel dynamics of two coupled one-dimensional Bose-Einstein quasi-condensates deep in the Josephson regime. Josephson oscillations are initiated by splitting a single one-dimensional…

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

The Josephson effect is a prominent phenomenon of quantum supercurrents that has been widely studied in superconductors and superfluids. Typical Josephson junctions consist of two real-space superconductors (superfluids) coupled through a…

The possibility of generating multiple coherent modes in trapped Bose gases is advanced. This requires the usage of several driving fields whose frequencies are tuned close to the corresponding transition frequencies. A general criterion is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. I. Yukalov , K. -P. Marzlin , E. P. Yukalova

Fragmented Bose-Einstein condensates are large systems of identical bosons displaying \emph{multiple} macroscopic occupations of one-body states, in a suitable sense. The quest for an effective dynamics of the fragmented condensate at the…

Mathematical Physics · Physics 2024-05-01 Jinyeop Lee , Alessandro Michelangeli

Quantum sensors based on matter-wave interferometry are promising candidates for high-precision gravimetry and inertial sensing in space. The favorable source for the coherent matter waves in these devices are Bose-Einstein condensates. A…

The out-of-equilibrium quantum dynamics of a bosonic Josephson junction (BJJ) with long-range interaction is studied in real space by solving the time-dependent many-body Schr\"odinger equation numerically accurately using the…

Quantum Gases · Physics 2018-06-27 Sudip Kumar Haldar , Ofir E. Alon

We investigate quantum corrections to the Josephson dynamics of two weakly coupled Bose-Einstein condensates using the population imbalance as the sole dynamical variable. Starting from the two-variable action, we derive the imbalance-only…

Quantum Gases · Physics 2026-05-07 Oliver Hideg , Sofia Salvatore , Luca Salasnich

We investigate the tunnelling dynamics of Bose-Einstein-Condensates(BECs) in a symmetric as well as in a tilted triple-well trap within the framework of mean-field treatment. The eigenenergies as the functions of the zero-point energy…

Other Condensed Matter · Physics 2009-11-11 Bin Liu , Li-Bin Fu , Shi-Ping Yang , Jie Liu

In order to model the processes taking place in systems with Josephson contacts, a differential equation on a torus with three parameters is used. One of the parameters of the system can be considered small and the methods of the fast--slow…

Dynamical Systems · Mathematics 2013-05-30 V. Kleptsyn , O. Romaskevich , I. Schurov

The response of a trapped Bose-Einstein condensed gas to a periodic driving force is studied theoretically in the framework of the nonlinear Gross-Pitaevskii equation. The monopole mode is driven by periodical modulation of the frequency of…

Other Condensed Matter · Physics 2007-05-23 Emil Lundh

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 an atomic Bose-Einstein condensate trapped in a symmetric one-dimensional double well potential in the four-mode approximation and show that the semiclassical dynamics of the two ground state modes can be strongly influenced by…

Quantum Physics · Physics 2014-02-20 J. Gillet , M. A. Garcia-March , Th. Busch , F. Sols
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