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Understanding how coherent quantum dynamics give way to correlation-dominated behavior in low-dimensional systems remains a central challenge in quantum many-body physics. Here, we address this problem by investigating the interplay of…

Precise control of topologically protected excitations, such as quantum vortices in atomtronic circuits, opens new possibilities for future quantum technologies. We theoretically investigate the dynamics of Josephson vortices (rotational…

The out-of-equilibrium quantum dynamics of a Bose gas trapped in an asymmetric double well and interacting with a finite-range interaction has been studied in real space by solving the time-dependent many-body Schr\"odinger equation…

Quantum Gases · Physics 2019-05-21 Sudip Kumar Haldar , Ofir E Alon

We study dynamical processes in coherently coupled atomic Bose-Einstein condensates. Josephson effects in ring-shaped and dumbbell geometries are theoretically investigated. Conditions for observation of the Josephson effect are revealed.…

In this work we investigate the quantum dynamics of a model for two single-mode Bose--Einstein condensates which are coupled via Josephson tunneling. Using direct numerical diagonalisation of the Hamiltonian, we compute the time evolution…

Quantum Physics · Physics 2009-11-10 A. P. Tonel , J. Links , A. Foerster

We consider the Josephson Effect between two spatially separated Bose-Einstein condensates of atoms each of which can be in two hyperfine states. We derive simple equations of motion for this system closely analogous to the Bloch equations.…

Soft Condensed Matter · Physics 2012-01-26 S. Ashhab , Carlos Lobo

We analyze the dynamics of Josephson vortex states in two-component Bose-Einstein condensates with Rashba-Dresselhaus spin-orbit coupling by using the Gross-Pitaevskii equation. In 1D, both in homogeneous and harmonically trapped systems,…

Quantum Gases · Physics 2016-03-21 A. Gallemí , M. Guilleumas , R. Mayol , A. Muñoz Mateo

We discuss the coherent atomic oscillations between two weakly coupled Bose-Einstein condensates. The weak link is provided by a laser barrier in a (possibly asymmetric) double-well trap or by Raman coupling between two condensates in…

Soft Condensed Matter · Physics 2016-08-31 S. Raghavan , A. Smerzi , S. Fantoni , S. R. Shenoy

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

We study the Josephson effect between atomic Bose-Einstein condensates. By drawing on an electrostatic analogy, we derive a semiclassical functional expression for the three-dimensional Josephson coupling energy in terms of the condensate…

Condensed Matter · Physics 2009-10-30 Ivar Zapata , Fernando Sols , Anthony J. Leggett

We investigate Josephson transport in a fully closed, two-dimensional superfluid circuit formed by a ring-shaped 87Rb Bose-Einstein condensate that contains two optical barriers acting as movable weak links. Translating these barriers at…

Quantum Gases · Physics 2026-05-29 Koon Siang Gan , Vijay Pal Singh , Luigi Amico , Rainer Dumke

The quantum dynamics of a one-dimensional bosonic Josephson junction is studied by solving the time-dependent many-boson Schr\"odinger equation numerically exactly. Already for weak interparticle interactions and on short time scales, the…

Quantum Gases · Physics 2009-11-24 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

I predict the existence of internal spatial currents in a {\it single} macroscopic quantum system, namely in trapped dilute-gas at sufficiently low temperatures, when a Bose-Einstein condensation occurs. The spatial profiles of the…

Statistical Mechanics · Physics 2007-05-23 Alexander V. Zhukov

The theoretical investigation of rotating Bose-Einstein condensates has mainly focused on the emergence of quantum vortex states and the condensed properties of such systems. In the present work, we concentrate on other facets by examining…

Quantum Gases · Physics 2023-03-14 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon

We study the collision dynamics of two Bose-Einstein condensates with their dynamical wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective one-dimensional system, we identify…

Quantum Gases · Physics 2022-03-22 Aaron Wirthwein , Stephan Haas , Sheng-wey Chiow

We study a binary Bose gas in a symmetric dual-core, pancake-shaped trap, modelled by two linearly coupled two-dimensional Gross-Pitaevskii equations with Lee-Huang-Yang corrections. Two different cases are considered. First, we consider a…

Quantum Gases · Physics 2025-11-04 Sherzod R. Otajonov , Fatkhulla Kh. Abdullaev , Akbar Shermaxmatov

We study the equilibrium dynamics of a weakly interacting Bose-Einstein condensate trapped in a box. In our approach we use a semiclassical approximation similar to the description of a multi-mode laser. In dynamical equations derived from…

Condensed Matter · Physics 2015-06-24 K. Goral , M. Gajda , K. Rzazewski

We investigate an atomic ensemble of interacting bosons trapped in a symmetric double well potential in contact with a single tightly trapped ion which has been recently proposed [R. Gerritsma et al., Phys. Rev. Lett. 109, 080402 (2012)] as…

Quantum Gases · Physics 2016-06-08 J. M. Schurer , R. Gerritsma , P. Schmelcher , A. Negretti

Motivated by recent experiments on Bose-Einstein condensed atoms which rotate in annular/toroidal traps we study the effect of the finiteness of the atom number $N$ on the states of lowest energy for a fixed expectation value of the angular…

Quantum Gases · Physics 2017-03-08 A. Roussou , J. Smyrnakis , M. Magiropoulos , Nikolaos K. Efremidis , G. M. Kavoulakis

We propose an experiment that would demonstrate the ``dc'' and ``ac'' Josephson effects in two weakly linked Bose-Einstein condensates. We consider a time-dependent barrier, moving adiabatically across the trapping potential. The phase…

Atomic Physics · Physics 2009-11-06 S. Giovanazzi , A. Smerzi , S. Fantoni