Vortex lattice formation in dipolar Bose-Einstein condensates via rotation of the polarization

Prasad, Srivatsa B.; Bland, Thomas; Mulkerin, Brendan C.; Parker, N. G.; Martin, A. M.

doi:10.1103/physreva.100.023625

Cited by 24 publications

(47 citation statements)

References 74 publications

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“…The formalism outlined here for finding rotating frame stationary solutions with a tilting of the trap's symmetry axes can be extended to more exotic condensates than the scalar one we have considered. Notably, in the field of dipolar quantum gases, we expect that dipolar Bose-Einstein condensates in the TF limit can be described in a similar manner, based on previous work on rotating either the trapping or the dipole polarization about a principal axis of the trapping [64][65][66][67][68]. Similarly we would expect that spinorbit-coupled BECs subject to an artificial gauge field that induces a synthetic rotation about a nonprincipal axis would be described analogously, in the TF limit, to the formalism we have introduced here [69,70].…”

Section: Discussionmentioning

confidence: 96%

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

2020

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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.

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Section: Discussionmentioning

confidence: 96%

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

2020

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“…In this article we theoretically address the effect of rotating the polarizing field without explicitly invoking the rapidly rotating, time-averageable limit, and extend our previous work on dipole polarizations rotating in-plane [37,39] to polarizations aligned at an arbitrary angle to the rotation axis. To this end, in Sec.…”

Section: Introductionmentioning

confidence: 89%

“…While the application of Eqs. (1) and (2) to trapped, dilute, dipolar BECs has predicted several properties such as an anisotropic Bogoliubov spectrum [12,44,45], the roton mode [13,14,52,53], and exotic vortex behavior [22,23,30,39], the experimental discovery of self-bound quantum droplets [15][16][17][18] and the realization of supersolidity [19][20][21] in recent years has necessitated the extension of this theory to account for the contributions of fluctuations of ψ beyond the mean 033322-2 field [54,55]. Provided that ε dd 1, the effect of these fluctuations is generally insignificant and thus we expect that Eqs.…”

Section: Tilted Rotation Of the Polarizationmentioning

confidence: 99%

“…We work in the interaction-dominated Thomas-Fermi (TF) regime [40] and, in Sec. III, we merge the formalisms introduced in distinct studies for analyzing in-plane dipole rotation in dipolar BECs [37,39] and tilted rotation of the harmonic confinement of nondipolar BECs [41] to obtain self-consistency relations that completely specify the stationary solutions of this system. In Sec.…”

Section: Introductionmentioning

confidence: 99%

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Arbitrary-angle rotation of the polarization of a dipolar Bose-Einstein condensate

2021

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We have employed the theory of harmonically trapped dipolar Bose-Einstein condensates to examine the influence of a uniform magnetic field that rotates at an arbitrary angle to its own orientation. This is achieved by semi-analytically solving the dipolar superfluid hydrodynamics of this system within the Thomas-Fermi approximation and by allowing the body frame of the condensate's density profile to be tilted with respect to the symmetry axes of the nonrotating harmonic trap. This additional degree of freedom manifests itself in the presence of previously unknown stationary solution branches for any given dipole tilt angle. We also find that the tilt angle of the stationary state's body frame with respect to the rotation axis is a nontrivial function of the trapping geometry, rotation frequency, and dipole tilt angle. For rotation frequencies of at least an order of magnitude higher than the in-plane trapping frequency, the stationary state density profile is almost perfectly equivalent to the profile expected in a time-averaged dipolar potential that effectively vanishes when the dipoles are tilted along the "magic angle" 54.7 deg. However, by linearizing the fully time-dependent superfluid hydrodynamics about these stationary states, we find that they are dynamically unstable against the formation of collective modes, which we expect would result in turbulent decay.

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“…1 to numerically simulate the dynamics of polariton BEC by a time-splitting Fourier pseudospectral method. Such an algorithm is unconditionally stable, and of spectral accuracy in space and second-order accuracy in time [35], and has been widely used to study dynamics of vortices and solitons in BECs [36][37][38]. In the following discussion, all results are tested for convergence and stability.…”

Section: Theoretical Modelmentioning

confidence: 99%

Spontaneous Formations of Dynamical Steady States in Polariton Condensates

Niu

Zhang

2021

Front. Phys.

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We present a numerical analysis on dynamical steady states of polariton Bose–Einstein condensates (BECs) in an incoherent exciton reservoir driven by a ring-shaped optical pump. The balance between the loss and gain of polariton BEC induces a variety of steady states with different configurations, including approximate Gaussian distribution and topological defects, such as vortex–antivortex pairs, vortices with a winding number, and solitons. Besides, the system becomes unstable under fast decay rates and small pumping ring, where BECs can no longer exist in the long-time limit. We also confirm the soliton is dynamically stable in this system, with a steady polariton current induced by the repulsive polariton–polariton and polariton–exciton interactions.

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Vortex lattice formation in dipolar Bose-Einstein condensates via rotation of the polarization

Cited by 24 publications

References 74 publications

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

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

Arbitrary-angle rotation of the polarization of a dipolar Bose-Einstein condensate

Spontaneous Formations of Dynamical Steady States in Polariton Condensates

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