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In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

Recent experiments have employed rapidly expanding toroidal Bose-Einstein condensates (BECs) to mimic the inflationary expansion in the early universe. One expected signature of the expansion in such experiments is spontaneous particle…

We present a study of a gas of bosons confined in one dimension with Feshbach resonant interactions, at zero temperature. Unlike the gas of one dimensional bosons with non-resonant interactions, which is known to be equivalent to a system…

Statistical Mechanics · Physics 2007-05-23 V. Gurarie

We study the scissors modes of a harmonically trapped Bose-Einstein condensate under the influence of a synthetic magnetic field, which induces rigid rotational components in the velocity field. Our investigation reveals that the scissors…

Quantum Gases · Physics 2023-09-07 Chunlei Qu , Chuan-Hsun Li , Yong P. Chen , Sandro Stringari

Oscillations of atomic Bose-Einstein condensates in a 1D optical lattice with a two-point basis is investigated. In the low-frequency regime, four branches of modes are resolved, that correspond to the transverse in-phase and out-of-phase…

Other Condensed Matter · Physics 2009-11-11 C. C. Huang , W. C. Wu

We study theoretically the collective dynamics of rotational excitations of polar molecules loaded into an optical lattice in two dimensions. These excitations behave as hard-core bosons with a relativistic energy dispersion arising from…

Quantum Gases · Physics 2014-08-29 M. P. Kwasigroch , N. R. Cooper

The dynamics of vortices in trapped Bose-Einstein condensates are investigated both analytically and numerically. In axially symmetric traps, the critical rotation frequency for the metastability of an isolated vortex coincides with the…

Statistical Mechanics · Physics 2009-10-31 David L. Feder , Anatoly A. Svidzinsky , Alexander L. Fetter , Charles W. Clark

Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even though a proof of Bose-Einstein condensation in the…

Mathematical Physics · Physics 2022-11-16 Giulia Basti , Cristina Caraci , Serena Cenatiempo

Using the concept of diffused vorticity and the formalism of rotational hydrodynamics we calculate the eigenmodes of a harmonically trapped Bose-Einstein condensate containing an array of quantized vortices. We predict the occurrence of a…

Statistical Mechanics · Physics 2009-11-10 F. Chevy , S. Stringari

Exact diagonalization study of a rotating dilute Bose-Einstein condensate reveals that as the first vortex enters the system the degeneracy of the low-energy yrast spectrum is lifted and a large energy gap emerges. As more vortices enter…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Tatsuya Nakajima , Masahito Ueda

A weakly interacting, spin-orbit coupled, two-component, ultracold Bose gas bound to a Bravais lattice is studied. Motivated by recent experimental advances in the field of synthetically spin-orbit coupled, ultracold, neutral atomic gases…

Quantum Gases · Physics 2020-11-24 Kristian Mæland

The dynamics of Bose-Einstein condensates in asymmetric double-wells is studied. We construct a two-mode model and analyze the properties of the corresponding phase-space diagram, showing in particular that the minimum of the phase-space…

Quantum Gases · Physics 2014-12-01 H. M. Cataldo , D. M. Jezek

An attractive Bose-Einstein condensate in two spatial dimensions is expected to collapse for supercritical values of the interaction strength. Moreover, it is known that for nonzero quanta of angular momentum and infinitesimal attraction…

Quantum Gases · Physics 2014-04-11 Marios C. Tsatsos

We present the simulation results of merging harmonically confined rotating Bose-Einstein condensates in two dimensions. Merging of the condensate is triggered by positioning the rotation axis at the trap minima and moving both condensates…

We present a method of finding approximate analytical solutions for the spectra and eigenvectors of collective modes in a two-dimensional system of interacting bosons subjected to a linear external potential or the potential of a special…

Soft Condensed Matter · Physics 2009-10-31 D. V. Fil , S. I. Shevchenko

Probing the radial collective oscillation of a trapped quantum system is an accurate experimental tool to investigate interactions and dimensionality effects. We consider a fully polarized quasi-one dimensional dipolar quantum gas of…

Quantum Gases · Physics 2021-03-09 S. De Palo , E. Orignac , M. L. Chiofalo , R. Citro

We calculate the hydrodynamic solutions for a dilute Bose-Einstein condensate with long-range dipolar interactions in a rotating, elliptical harmonic trap, and analyse their dynamical stability. The static solutions and their regimes of…

Other Condensed Matter · Physics 2015-06-25 R. M. W. van Bijnen , D. H. J. O'Dell , N. G. Parker , A. M. Martin

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 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 consider systems of bosons trapped in a box, in the Gross-Pitaevskii regime. We show that low-energy states exhibit complete Bose-Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent…

Mathematical Physics · Physics 2019-10-02 Chiara Boccato , Christian Brennecke , Serena Cenatiempo , Benjamin Schlein
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