Rayleigh-Taylor instability in a phase-separated three-component Bose-Einstein condensate

Arpana, Saboo,; Halder, Samrat; Das, Sitikantha D.; Majumder, Sonjoy

doi:10.1103/physreva.108.013320

Cited by 4 publications

(1 citation statement)

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is reported that a two-dimensional (2D) SOC can introduce an unconventional spatial separation in a trapped binary BEC with miscible interactions [24]. In addition, the Rayleigh-Taylor instability in a phase-separated three-component BEC is investigated [25].…”

Section: Introductionmentioning

confidence: 99%

Spin-Orbit Coupled Dynamics of Ferromagnetic Spinor Bose-Einstein Condensate

Zhao

2024

Acta Phys. Pol. A

View full text Add to dashboard Cite

In this paper, we investigate the dynamic properties of spin-orbit coupling spin-1 ferromagnetic Bose-Einstein condensates with different trap geometry. Our results are obtained in terms of the threecomponent Gross-Pitaevskii equation of mean-field theory. Two kinds of trap potential are discussed: isotropic and anisotropic. It is shown that the spin-exchange dynamics are greatly influenced by trap geometry. For the latter with weak spin-orbit coupling strength, we find that the three-component oscillation accelerates and some small difference emerges between component m = 1 and m = −1. With the increase in spin-orbit coupling strength, the three components reach almost the same population. In addition, the kinetic energy of the system changes within a small scope for strong spin-orbit coupling, as opposed to a constant value in an isotropic trap. The density distributions display that the stripe phase appears with the increase in spin-orbit coupling strength. The method of generating stripe structure is different from the ground state of ferromagnetic condensate. For isotropic trap, the spatial separation of top and bottom spin-orbit condensates in component m = 1 and m = −1 occurs at weak spin-orbit coupling, and square lattice appears at strong spin-orbit coupling.

show abstract

Section: Introductionmentioning

confidence: 99%

Spin-Orbit Coupled Dynamics of Ferromagnetic Spinor Bose-Einstein Condensate

Zhao

2024

Acta Phys. Pol. A

View full text Add to dashboard Cite

show abstract

Properties of a trapped multiple-species bosonic mixture at the infinite-particle-number limit: A solvable model

Alon,

Cederbaum

2024

The Journal of Chemical Physics

View full text Add to dashboard Cite

We investigate a trapped mixture of Bose–Einstein condensates consisting of a multiple number of P species. To be able to do so, an exactly solvable many-body model is called into play. This is the P-species harmonic-interaction model. After presenting the Hamiltonian, the ground-state energy and wavefunction are explicitly calculated. All properties of the mixture’s ground state can, in principle, be obtained from the many-particle wavefunction. A scheme to integrate the all-particle density matrix is derived and implemented, leading to closed-form expressions for the reduced one-particle density matrices. Of particular interest is the infinite-particle-number limit, which is obtained when the numbers of bosons are taken to infinity while keeping the interaction parameters fixed. We first prove that at the infinite-particle-number limit all the species are 100% condensed. The mean-field solution of the P-species mixture is also obtained analytically and is used to show that the energy per particle and densities per particle computed at the many-body level of theory boil down to their mean-field counterparts. Despite these, correlations in the mixture exist at the infinite-particle-number limit. To this end, we obtain closed-form expressions for the correlation energy, namely, the difference between the mean-field and many-body energies, and the depletion of the species, i.e., the number of particles residing outside the condensed modes, at the infinite-particle-number limit. The depletion and the correlation energy per species are shown to critically depend on the number of species. Of separate interest is the entanglement between one species of bosons and the other P − 1 species. This quantity is governed by the coupling of the center-of-mass coordinates of the species and is obtained by the respective Schmidt decomposition of the P-species wavefunction. Interestingly, there is an optimal number of species, here P = 3, where the entanglement is maximal. Importantly, the manifestation of this interspecies entanglement in an observable is possible. It is the position–momentum uncertainty product of one species in the presence of the other P − 1 species, which is derived and demonstrated to correlate with the interspecies entanglement. All in all, we show and explain how correlations at the infinite-particle-number limit of a trapped multiple-species bosonic mixture depend on the interactions and how they evolve with the number of species. Generalizations and implications are briefly discussed.

show abstract