Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2005.00142 · Physics Letters A

Mass-imbalanced Bose-Einstein condensed mixtures in rotating perturbed trap

R. Kishor Kumar, A. Gammal, Lauro Tomio

Published May 8, 2020• 7 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2020.126535

Related papers

Rotating Bose-Einstein condensates in anistropic traps

Cristian V. Ciobanu, Tin-Lun Ho

APS•Mar 1, 2001•0 citations

Vortex generation in stirred binary Bose-Einstein condensates

Anacé N. da Silva, R. Kishor Kumar, Ashton S. Bradley +1 more

Binary Bose-Einstein condensates of two distinct atomic species are studied, with interesting effects being verified due to the imbalance of atomic masses. We study the formation of vortices and associated turbulence flows created by stirring two mass-imbalanced coupled Bose-Einstein condensates in the miscible regime. We consider the mixture in the laboratory frame, confined in a pancake-like harmonic trap slightly perturbed elliptically by a time-dependent periodic potential, which introduces turbulent dynamics with final stable patterns of vortices, induced by the periodicity of the perturbation. Derived rotational frequencies are shown to be associated with the observed vortex patterns in the asymptotic regime, with a correspondence between the stirring procedure and a direct time-independent approach being indicated. It was also confirmed that a larger pattern of vortices is supported by the higher mass condensed species at the same frequency. For the experimentally accessible mixtures $^{85}\mathrm{Rb}\text{\ensuremath{-}}^{133}\mathrm{Cs}$ and $^{85}\mathrm{Rb}\text{\ensuremath{-}}^{87}\mathrm{Rb}$, we numerically solve the equations of motion and analyze the system dynamics using a range of measures including energy spectra. In the transient turbulent regime, spectral analysis shows evidence for the characteristic ${k}^{\ensuremath{-}5/3}$ Kolmogorov classical law associated with turbulence, modified by the universal ${k}^{\ensuremath{-}3}$ vortex core scaling in the ultraviolet regime.

arXiv:2205.14654•Physical Review A•Mar 15, 2023•12 citations

Trap-imbalanced fermion mixtures

M. Iskin, Carl J. Williams

We analyze the ground-state phases of two-component $(\ensuremath{\sigma}\ensuremath{\equiv}{\ensuremath{\uparrow},\ensuremath{\downarrow}})$ population- and mass-balanced (${N}_{\ensuremath{\uparrow}}={N}_{\ensuremath{\downarrow}}$ and ${m}_{\ensuremath{\uparrow}}={m}_{\ensuremath{\downarrow}}$) but trap-imbalanced $({\ensuremath{\omega}}_{\ensuremath{\uparrow}}\ensuremath{\ne}{\ensuremath{\omega}}_{\ensuremath{\downarrow}})$ fermion mixtures as a function of interaction strength from the weak attraction Bardeen-Cooper-Schrieffer (BCS) to the strong attraction Bose-Einstein condensation (BEC) limit. In the BCS limit, we find that the unpolarized superfluid (UPS) fermions exist away from the central core of the trapping potentials, and are surrounded by partially $\ensuremath{\sigma}$-polarized normal $(\mathrm{P}\ensuremath{\sigma}\mathrm{PN})$ fermions. As the interactions increase towards unitarity, we find that the central $\mathrm{P}\ensuremath{\sigma}\mathrm{PN}$ core first transitions to a UPS, and then expands towards the edges until the entire mixture becomes a UPS in the BEC limit.

arXiv:0710.0353•Physical Review A•Jan 7, 2008•12 citations

Fast rotating Bose–Einstein condensates in an asymmetric trap

Amandine Aftalion, Xavier Blanc, Nicolás Lerner

arXiv:0811.4714•Journal of Functional Analysis•Jan 24, 2009•2 citations

Solvable model of a trapped mixture of Bose–Einstein condensates

Shachar Klaiman, Alexej I. Streltsov, Ofir E. Alon

arXiv:1605.05608•Chemical Physics•Jul 17, 2016•21 citations

Interspecies Feshbach Resonances in an Ultracold, Optically Trapped Bose-Fermi Mixture of Cesium and Lithium

Marc Repp

This thesis reports on the tunability of interactions in ultracold Bose-Fermi mixtures of Cesium and Lithium. The \nfirst realization of an optically trapped \n6Li -133Cs mixture enabled to perform trap loss spectroscopy measurements to identify \nmagnetic Feshbach resonances. A total of 19 interspecies Feshbach resonances, all in the magnetic field range between 650 G and 950 G, were observed for the two energetically lowest spin states of each species. Two 5 G broad and especially two 60 G broad s-wave resonances give perspectives to produce a dipolar quantum gas of LiCs ground state molecules as well as to study the Efimov effect in highly mass imbalanced systems. In addition, a unique relative tunability of intra- and interspecies \nscattering lengths was found which makes the 6Li -133Cs system also well suited for the investigation of polarons. Evaporative cooling was performed on optically trapped samples which contained only one of the species. In this way, Bose-Einstein condensates of 6Li molecules as well as 133Cs samples at a phase-space density of p = 4 · 10^2 were prepared. All experiments were performed in a new apparatus, which has been designed and set up during this thesis.

•Jan 1, 2013•5 citations
Binary Bose-Einstein condensates of two distinct atomic species are studied, with interesting effects being verified due to the imbalance of atomic masses. We study the formation of vortices and associated turbulence flows created by stirring two mass-imbalanced coupled Bose-Einstein condensates in the miscible regime. We consider the mixture in the laboratory frame, confined in a pancake-like harmonic trap slightly perturbed elliptically by a time-dependent periodic potential, which introduces turbulent dynamics with final stable patterns of vortices, induced by the periodicity of the perturbation. Derived rotational frequencies are shown to be associated with the observed vortex patterns in the asymptotic regime, with a correspondence between the stirring procedure and a direct time-independent approach being indicated. It was also confirmed that a larger pattern of vortices is supported by the higher mass condensed species at the same frequency. For the experimentally accessible mixtures $^{85}\mathrm{Rb}\text{\ensuremath{-}}^{133}\mathrm{Cs}$ and $^{85}\mathrm{Rb}\text{\ensuremath{-}}^{87}\mathrm{Rb}$, we numerically solve the equations of motion and analyze the system dynamics using a range of measures including energy spectra. In the transient turbulent regime, spectral analysis shows evidence for the characteristic ${k}^{\ensuremath{-}5/3}$ Kolmogorov classical law associated with turbulence, modified by the universal ${k}^{\ensuremath{-}3}$ vortex core scaling in the ultraviolet regime.
We analyze the ground-state phases of two-component $(\ensuremath{\sigma}\ensuremath{\equiv}{\ensuremath{\uparrow},\ensuremath{\downarrow}})$ population- and mass-balanced (${N}_{\ensuremath{\uparrow}}={N}_{\ensuremath{\downarrow}}$ and ${m}_{\ensuremath{\uparrow}}={m}_{\ensuremath{\downarrow}}$) but trap-imbalanced $({\ensuremath{\omega}}_{\ensuremath{\uparrow}}\ensuremath{\ne}{\ensuremath{\omega}}_{\ensuremath{\downarrow}})$ fermion mixtures as a function of interaction strength from the weak attraction Bardeen-Cooper-Schrieffer (BCS) to the strong attraction Bose-Einstein condensation (BEC) limit. In the BCS limit, we find that the unpolarized superfluid (UPS) fermions exist away from the central core of the trapping potentials, and are surrounded by partially $\ensuremath{\sigma}$-polarized normal $(\mathrm{P}\ensuremath{\sigma}\mathrm{PN})$ fermions. As the interactions increase towards unitarity, we find that the central $\mathrm{P}\ensuremath{\sigma}\mathrm{PN}$ core first transitions to a UPS, and then expands towards the edges until the entire mixture becomes a UPS in the BEC limit.
This thesis reports on the tunability of interactions in ultracold Bose-Fermi mixtures of Cesium and Lithium. The \nfirst realization of an optically trapped \n6Li -133Cs mixture enabled to perform trap loss spectroscopy measurements to identify \nmagnetic Feshbach resonances. A total of 19 interspecies Feshbach resonances, all in the magnetic field range between 650 G and 950 G, were observed for the two energetically lowest spin states of each species. Two 5 G broad and especially two 60 G broad s-wave resonances give perspectives to produce a dipolar quantum gas of LiCs ground state molecules as well as to study the Efimov effect in highly mass imbalanced systems. In addition, a unique relative tunability of intra- and interspecies \nscattering lengths was found which makes the 6Li -133Cs system also well suited for the investigation of polarons. Evaporative cooling was performed on optically trapped samples which contained only one of the species. In this way, Bose-Einstein condensates of 6Li molecules as well as 133Cs samples at a phase-space density of p = 4 · 10^2 were prepared. All experiments were performed in a new apparatus, which has been designed and set up during this thesis.