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We present a comprehensive theoretical study of vortex lattice formation in atomic Bose-Einstein condensates confined by a rotating elliptical trap. We consider rotating solutions of the classical hydrodynamic equations, their response to…

Other Condensed Matter · Physics 2009-11-11 N. G. Parker , R. M. W. van Bijnen , A. M. Martin

Motivated by recent experiments on rotating Bose-Einstein condensates, we investigate a rotating, polarized Fermi gas trapped in an anharmonic potential. We apply a semiclassical expansion of the density of states in order to determine how…

Statistical Mechanics · Physics 2015-05-13 Kiel Howe , Aristeu R. P. Lima , Axel Pelster

We consider a weakly-interacting Bose-Einstein condensate that rotates in either a harmonic, or a weakly-anharmonic trapping potential. Performing numerical calculations, we investigate the behaviour of the gas in these two cases as the…

We theoretically study homogeneously trapped atomic Bose-Einstein condensates where all three momentum components couple to a pseudo-spin-$1/2$ degree of freedom. Tuning the anisotropies of spin-orbit coupling and the spin-dependent…

Quantum Gases · Physics 2015-11-04 Renyuan Liao , Oleksander Fialko , Joachim Brand , Ulrich Zulicke

The atom optics of Bose-Einstein condensates containing a vortex of circulation one is discussed. We first analyze in detail the reflection of such a condensate falling on an atomic mirror. In a second part, we consider a rotating…

Soft Condensed Matter · Physics 2007-05-23 I. Josopait , L. Dobrek , L. Santos , A. Sanpera , M. Lewenstein

We analyze quantum droplets formed in a two-dimensional symmetric mixture of Bose-Einstein condensed atoms. For sufficiently large atom numbers, these droplets exhibit a flat-top density profile with sharp boundaries governed by surface…

Pattern Formation and Solitons · Physics 2025-07-30 Angel Paredes , Jose Guerra-Carmenate , Humberto Michinel

Vortex states of weakly-interacting Bose-Einstein condensates confined in three-dimensional rotating harmonic traps are investigated numerically at zero temperature. The ground state in the rotating frame is obtained by propagating the…

Statistical Mechanics · Physics 2009-10-31 David L. Feder , Charles W. Clark , Barry I. Schneider

We study the stability and characteristics of two-dimensional (2D) circular quantum droplets (QDs) with embedded hidden vorticity (HV), i.e., opposite angular momenta in two components, formed by binary Bose-Einstein condensates (BECs)…

Pattern Formation and Solitons · Physics 2023-09-22 Bin Liu , Xiaoyan Cai , Xizhou Qin , Xunda Jiang , Jianing Xie , Boris A. Malomed , Yongyao Li

We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. We find that proximity to the Mott insulating state dramatically effects the vortex structures. To illustrate…

Other Condensed Matter · Physics 2009-11-13 Daniel S. Goldbaum , Erich J. Mueller

I review the basic physics of ultracold dilute trapped atomic gases, with emphasis on Bose-Einstein condensation and quantized vortices. The hydrodynamic form of the Gross-Pitaevskii equation (a nonlinear Schr{\"o}dinger equation)…

Quantum Gases · Physics 2015-05-19 Alexander L. Fetter

We demonstrate the existence of quantum droplets in two-component one-dimensional Bose-Hubbard chains. The droplets exist for any strength of repulsive intra-species interactions provided they are balanced by comparable attractive…

Quantum Gases · Physics 2020-04-15 Ivan Morera , Grigori E. Astrakharchik , Artur Polls , Bruno Juliá-Díaz

Motivated by the recent experiment at ENS [ V. Bretin, S. Stock, Y. Seurin and, J. Dalibard, Phys. Rev. Lett. {\bf 92}, 050403 (2004)], we study a rotating (non-)interacting atomic Bose-Einstein condensate confined in a…

Soft Condensed Matter · Physics 2007-05-23 Tarun Kanti Ghosh

We have created vortices in two-component Bose-Einstein condensates. The vortex state was created through a coherent process involving the spatial and temporal control of interconversion between the two components. Using an interference…

Condensed Matter · Physics 2009-10-31 M. R. Matthews , B. P. Anderson , P. C. Haljan , D. S. Hall , C. E. Wieman , E. A. Cornell

Vortices were imprinted in a Bose-Einstein condensate using topological phases. Sodium condensates held in a Ioffe-Pritchard magnetic trap were transformed from a non-rotating state to one with quantized circulation by adiabatically…

Soft Condensed Matter · Physics 2009-11-07 A. E. Leanhardt , A. Görlitz , A. P. Chikkatur , D. Kielpinski , Y. Shin , D. E. Pritchard , W. Ketterle

Theoretical study is presented for a spinor Bose-Einstein condensate, whose two components are coupled by copropagating Raman beams with different orbital angular momenta. The investigation is focused on the behavior of the ground state of…

Quantum Gases · Physics 2021-01-04 Y. Duan , Y. M. Bidasyuk , A. Surzhykov

The structure and dynamics of one-dimensional binary Bose gases forming quantum droplets is studied by solving the corresponding amended Gross-Pitaevskii equation. Two physically different regimes are identified, corresponding to small…

Quantum Gases · Physics 2018-08-01 G. E. Astrakharchik , B. A. Malomed

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. Fast rotation is reached when the rotational velocity is close to the smallest trapping frequency, thereby…

Other Condensed Matter · Physics 2009-11-13 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

Distintictive features of supersolids show up in their rotational properties. We calculate the moment of inertia of a harmonically trapped dipolar Bose-Einstein condensed gas as a function of the tunable scattering length parameter,…

Quantum Gases · Physics 2020-02-05 S. M. Roccuzzo , A. Gallemí , A. Recati , S. Stringari

A Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its container by the nucleation of quantized vortices. If the trapping potential is su ciently strong, there is no theoretical limit to the rotation…

Quantum Gases · Physics 2019-10-01 Michele Correggi , Florian Pinsker , Nicolas Rougerie , Jakob Yngvason

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
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