Low-dimensional quantum gases in curved geometries

Tononi, Andrea; Salasnich, Luca

doi:10.1038/s42254-023-00591-2

Cited by 14 publications

(5 citation statements)

References 132 publications

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“…which is small due to the inequality (20). Within the thin-shell limit for this particular experimental case equation (7) with the aid of ( 8) becomes…”

Section: Confinement Potential In Experimentsmentioning

confidence: 95%

“…In the 1990's, the experimental realization of Bose-Einstein Condensates (BEC) [1,2] gave rise to a myriad of both theoretical and experimental studies with contributions ranging from a basic understanding of the underlying physics of this macroscopic quantum phenomenon to various applications in particular cases of interest. Among the vast knowledge developed, there is the creation of bubble trap physics [3][4][5][6][7], which consists of thin-shell traps created using a radiofrequency field in an adiabatic potential based on a quadrupolar magnetic trap.…”

Section: Introductionmentioning

confidence: 99%

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Bose–Einstein condensates and the thin-shell limit in anisotropic bubble traps

Biral,

Móller,

Pelster

et al. 2024

New J. Phys.

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Within the many different models, that appeared with the use of cold atoms to create BECs, the bubble trap shaped potential has been of great interest. However, the relationship between the physical parameters and the resulting manifold geometry remains yet to be fully understood for the anisotropic bubble trap physics in the thin-shell limit. In this paper, we work towards this goal by showing how the parameters of the system must be manipulated in order to allow for a non-collapsing thin-shell limit. In such a limit, a dimensional compactification takes place, thus leading to an effective 2D Hamiltonian which relates to up-to-date bubble trap experiments. At last, the resulting Hamiltonian is perturbatively solved for both the ground-state wave function and the excitation frequencies in the leading order of deviations from a spherical bubble trap.

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“…which is small due to the inequality (20). Within the thin-shell limit for this particular experimental case equation (7) with the aid of ( 8) becomes…”

Section: Confinement Potential In Experimentsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Bose–Einstein condensates and the thin-shell limit in anisotropic bubble traps

Biral,

Móller,

Pelster

et al. 2024

New J. Phys.

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“…One possible way to manipulate and control BECs is to confine them in curved waveguides, which are quasi-one-dimensional (quasi-1D) and quasi-two-dimensional (quasi-2D) structures (for recent review see [3] and references therein). The influence of curvature on condensate properties has been extensively investigated in both experimental studies of quasi-2D manifolds [4,5] and theoretical investigations [6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…In addition to curvature, the geometric potential can be further manipulated by introducing inhomogeneities in the confinement potential along the waveguide. This leads to an effective quantum curvature-induced potential, which exhibits a strong renormalization of the classical curvature-induced potential and significantly enhances the effects of curvature by several orders of magnitude [3,[25][26][27]. The presence of the effective quantum curvature-induced potential gives rise to bound states and energy shifts in curved waveguides [28], as well as novel transport phenomena, including coherent backscattering [11].…”

Section: Introductionmentioning

confidence: 99%

Engineering phase and density of Bose–Einstein condensates in curved waveguides with toroidal topology

Nikolaieva,

Salasnich,

Yakimenko

2023

New J. Phys.

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We investigate the effects of ellipticity-induced curvature on atomic Bose-Einstein condensates confined in quasi-one-dimensional closed-loop waveguides. Our theoretical study reveals intriguing phenomena arising from the interplay between curvature and interactions. Density modulations are observed in regions of high curvature, but these modulations are suppressed by strong repulsive interactions. Additionally, we observe phase accumulation in regions with the lowest curvature when the waveguide with persistent current is squeezed. Furthermore, waveguides hosting persistent currents exhibit dynamic transformations between states with different angular momenta. These findings provide insights into the behaviour of atomic condensates in curved waveguides, with implications for fundamental physics and quantum technologies. The interplay between curvature and interactions offers opportunities for exploring novel quantum phenomena and engineering quantum states in confined geometries.

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“…There have been experimental demonstrations of metastable MQVs in cold atoms [23][24][25][26]. A different route of realizing MQVs in cold-atoms [27,28] via the recently realized bubble trap [29][30][31] has been proposed for bosonic superfluid, in addition to other theoretical studies of quantum vortices of bosonic superfluid in spherical geometry [32,33]. Here we explore the structures of MQVs in fermionic superfluid confined in a spherical bubble trap throughout the BCS-Bose Einstein condensation (BEC) crossover and unravel interesting effects due to the enlarged vortex core and topological properties in the energy spectrum.…”

Section: Introductionmentioning

confidence: 99%

BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap

Guo

Chien

2022

Phys. Rev. A

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The structures of multiply quantized vortices (MQVs) of equal-population atomic Fermi superfluid in a rotating spherical bubble trap are analyzed by solving the Bogoliubov-de Gennes (BdG) equation throughout the BCS-Bose Einstein condensation (BEC) crossover. Consistent with the Poincare-Hopf theorem, a pair of vortices emerge at the poles of the rotation axis in the presence of azimuthal symmetry, and the compact geometry provides confinement for the MQVs. While the single-vorticity vortex structure is similar to that in a planar geometry, higher-vorticity vortices exhibit interesting phenomena at the vortex center, such as a density peak due to accumulation of normal Fermi gas and reversed circulation of current due to in-gap states carrying angular momentum, in the BCS regime but not the BEC regime because of the subtle relations between the order parameter and density. The energy spectrum shows the number of the in-gap state branches corresponds to the vorticity of a vortex, and an explanation based on topological correspondence is provided.

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Low-dimensional quantum gases in curved geometries

Cited by 14 publications

References 132 publications

Bose–Einstein condensates and the thin-shell limit in anisotropic bubble traps

Bose–Einstein condensates and the thin-shell limit in anisotropic bubble traps

Engineering phase and density of Bose–Einstein condensates in curved waveguides with toroidal topology

BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap

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