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Stationary states, dynamical stability, and vorticity of Bose-Einstein condensates in tilted rotating harmonic traps

Lookup NU author(s): Dr Srivatsa BadariprasadORCiD

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This is the final published version of an article that has been published in its final definitive form by American Physical Society, 2020.

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Abstract

We theoretically investigate a Bose-Einstein condensate confined by a rotating harmonic trap whose rotation axis is not aligned with any of its principal axes. The principal axes of the Thomas-Fermi density profiles of the resulting stationary solutions are found to be tilted with respect to those of the rotating trap, representing an extra degree of freedom that is associated with the existence of additional branches of stationary solutions for any given rotation axis alignment. By linearizing the time-dependent theory about the stationary states, we obtain a semianalytical prediction of their dynamical instability at high rotation frequencies against collective modes arising from environmental perturbations. Comparing the stationary states to direct simulations of the Gross-Pitaevskii equation, we predict the nucleation of quantum vortices in the dynamically unstable rotational regime. These vortex lines are aligned along the rotation axis despite the tilting of the rotating trap although the background density profile is tilted with respect to the trapping and rotation axes.

Publication metadata

Author(s): Prasad SB, Mulkerin BC, Martin AM

Publication type: Article

Publication status: Published

Journal: Physical Review A

Year: 2020

Volume: 101

Issue: 6

Online publication date: 04/06/2020

Acceptance date: 11/05/2020

Date deposited: 03/12/2021

ISSN (print): 2469-9926

ISSN (electronic): 2469-9934

Publisher: American Physical Society

URL: https://doi.org/10.1103/PhysRevA.101.063608

DOI: 10.1103/PhysRevA.101.063608

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