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Motivated by recent experiment on Bloch Oscillation of Bose-Einstein condensates (BEC) in accelerated optical lattices, we consider the Josephson dynamics of a BEC in an accelerated double well potential. We show that acceleration…

Statistical Mechanics · Physics 2007-05-23 Aranya B Bhattacherjee

We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we…

Mathematical Physics · Physics 2025-11-13 Marius Lemm , Simone Rademacher , Jingxuan Zhang

We investigate the stability and dynamics of the orbital angular momentum modes of a repulsive Bose-Einstein condensate trapped in two tunnel-coupled rings in a stack configuration. Within mean-field theory, we derive a two-state model for…

Quantum Physics · Physics 2025-04-11 Eloi Nicolau , Jordi Mompart , Bruno Juliá-Díaz , Verònica Ahufinger

In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the…

Other Condensed Matter · Physics 2015-05-13 G. K. Chaudhary , Amit K Chattopadhyay , R. Ramakumar

The stability of a low temperature Bose-Einstein condensate with attractive interactions in one and three dimensional double-well potentials is discussed. In particular, the tunnelling dynamics of a condensate under the influence of a…

Other Condensed Matter · Physics 2009-11-10 E. Sakellari , N. P. Proukakis , C. S. Adams

We determine the low-energy spectrum and the eigenstates for a two-bosonic mode nonlinear model by applying the In\"{o}n\"{u}-Wigner contraction method to the Hamiltonian algebra. This model is known to well represent a Bose-Einstein…

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

We theoretically investigate the creation of squeezed states of a Bose-Einstein Condensate (BEC) trapped in a magnetic double well potential. The number or phase squeezed states are created by modulating the tunnel coupling between the two…

Quantum Physics · Physics 2017-12-13 Georg Jäger , Tarik Berrada , Jörg Schmiedmayer , Thorsten Schumm , Ulrich Hohenester

We study the quantum dynamics of a binary mixture of Bose-Einstein condensates (BEC) in a double-well potential starting from a two-mode Bose-Hubbard Hamiltonian. Focussing on the regime where the number of atoms is very large, a mapping…

Quantum Gases · Physics 2015-05-28 Roberta Citro , Adele Naddeo , Edmond Orignac

We study the domain walls which form when Bose condensates acquire a double-well dispersion. Experiments have observed such domain walls in condensates driven across a $\mathbb{Z}_2$ symmetry-breaking phase transition in a shaken optical…

Quantum Gases · Physics 2017-01-04 Tongtong Liu , Logan W. Clark , Cheng Chin

A Faraday-wave-like parametric instability is investigated via mean-field and Floquet analysis in immiscible binary Bose-Einstein condensates. The condensates form a so-called \textit{ball-shell} structure in a two-dimensional harmonic…

We present a magnetic trapping scheme for neutral atoms based on a hybrid of Ioffe-Pritchard and Time-averaged Orbiting Potential traps. The resulting double-well magnetic potential has readily controllable barrier height and well…

Soft Condensed Matter · Physics 2009-11-07 N. R. Thomas , C. J. Foot , A. C. Wilson

The dynamics of weakly interacting three-dimensional Bose-Einstein condensates (BECs), trapped in external axially symmetric plus anharmonic distortion potential are studied. Within a variational approach and time-dependent Gross-Pitaevskii…

Quantum Gases · Physics 2022-07-01 Hamid Al-Jibbouri

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 examine the phase diagram of a Bose-Einstein condensate of atoms, interacting with an attractive pseudopotential, in a quadratic-plus-quartic potential trap rotating at a given rate. Investigating the behavior of the gas as a function of…

Statistical Mechanics · Physics 2009-11-10 G. M. Kavoulakis , A. D. Jackson , Gordon Baym

In the present work, we explore the existence, stability and dynamics of single and multiple vortex ring states that can arise in Bose-Einstein condensates. Earlier works have illustrated the bifurcation of such states, in the vicinity of…

Pattern Formation and Solitons · Physics 2017-05-03 Wenlong Wang , R. N. Bisset , C. Ticknor , R. Carretero-Gonzalez , D. J. Frantzeskakis , L. A. Collins , P. G. Kevrekidis

We investigate a few-body mixture of two bosonic components, each consisting of two particles confined in a quasi one-dimensional harmonic trap. By means of exact diagonalization with a correlated basis approach we obtain the low-energy…

Quantum Gases · Physics 2018-01-12 Maxim Pyzh , Sven Krönke , Christof Weitenberg , Peter Schmelcher

The miscibility of two interacting quantum systems is an important testing ground for the understanding of complex quantum systems. Two-component Bose-Einstein condensates enable the investigation of this scenario in a particularly well…

We investigate the quantum dynamics of an experimentally realized spin-orbit coupled Bose-Einstein condensate in a double well potential. The spin-orbit coupling can significantly enhance the atomic inter-well tunneling. We find the…

Quantum Gases · Physics 2015-06-03 Dan-Wei Zhang , Li-Bin Fu , Z. D. Wang , Shi-Liang Zhu

We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

We discuss dynamics of a slow quantum phase transition in a spin-1 Bose-Einstein condensate. We determine analytically the scaling properties of the system magnetization and verify them with numerical simulations in a one dimensional model.

Other Condensed Matter · Physics 2008-11-26 Bogdan Damski , Wojciech H. Zurek