Vortex Solutions in a Binary Immiscible Bose-Einstein Condensate

Doran, R.; Baggaley, A. W.; Parker, N. G.

doi:10.48550/arxiv.2207.12913

Cited by 3 publications

(5 citation statements)

References 78 publications

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“…Various theoretical works have studied the dynamics of massive vortices over the last few years [17][18][19][20][21]. In these systems, the vortex in component a surrounds a localized massive core in component b, assuming interaction constants that would strongly favor phase separation of the two components in a uniform system.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a massive superfluid vortex in rk confining potentials

Richaud

Massignan²,

Penna³

et al. 2022

Phys. Rev. A

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We study the motion of a superfluid vortex in condensates having different background density profiles, ranging from parabolic to uniform. The resulting effective point-vortex model for a generic power-law potential ∝r k can be experimentally realized with recent advances in optical-trapping techniques. Our analysis encompasses both empty-core and filled-core vortices. In the latter case, the vortex acquires a mass due to the presence of distinguishable atoms located in its core. The axisymmetry allows us to reduce the coupled dynamical equations of motion to a single radial equation with an effective potential V eff . In many cases, V eff has a single minimum, where the vortex precesses uniformly. The dynamics of the vortex and the localized massive core arises from the dependence of the energy on the radial position of the vortex and from the r k trap potential. We find that a positive vortex with small mass orbits in the positive direction, but the sense of precession can reverse as the core mass increases. Early experiments and theoretical studies on two-component vortices found some qualitatively similar behavior.

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Section: Introductionmentioning

confidence: 99%

Dynamics of a massive superfluid vortex in rk confining potentials

Richaud

Massignan²,

Penna³

et al. 2022

Phys. Rev. A

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“…[where N b is the number of component-b atoms, σ is the typical width of Gaussian and α 0 is a time-dependent variational parameter which allows for non-zero translational velocities ṙ0 = (m b / )α 0 ], or super-Gaussian functions [24], while in Ref. [25] they were classical objects (mimicking tracer particles used as vorticity tracers in liquid-Helium experiments).…”

Section: Introduction Of Core Massmentioning

confidence: 99%

“…where L(r 0 , ṙ 0 ) and L z (r 0 , ṙ 0 ) correspond to equations ( 21) and (22), respectively, but now with all the original (unprimed) laboratory dynamical variables replaced by those in the (primed) rotating frame. In this reference frame, the previously discussed uniform circular orbits (24) constitute fixed points.…”

Section: Introduction Of Core Massmentioning

confidence: 99%

“…but with all original laboratory canonical variables replaced by those in the rotating frame [we have introduced the symbols k = h/m a , and A := m a n a (y 0 , −x 0 )/2, the latter being an effective vector potential which corresponds to an effective syntehtic gauge field [15,16]]. After defining the vector v = (r 0 , p 0 ) of canonical variables in the rotating frame, it is straightforward to verify that the set of Hamilton equations v = E∇H , where E is the standard symplectic matrix, admits a class of fixed points v * corresponding to uniform circular motions (24) in the lab frame. As is well known from Dynamical-System Theory, the fixed point is stable provided that the eigenvalues of the corresponding Jacobian matrix…”

Section: Introduction Of Core Massmentioning

confidence: 99%

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Massive Quantum Vortices in Superfluids

Richaud

Penna

Fetter

2023

J. Phys.: Conf. Ser.

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We consider the dynamical properties of quantum vortices with filled massive cores, hence the term “massive vortices”. While the motion of massless vortices is described by first-order motion equations, the inclusion of core mass introduces a second-order time derivative in the motion equations and thus doubles the number of independent dynamical variables needed to describe the vortex. The simplest possible system where this physics is present, i.e. a single massive vortex in a circular domain, is thoroughly discussed. We point out that a massive vortex can exhibit various dynamical regimes, as opposed to its massless counterpart, which can only precess at a constant rate. The predictions of our analytical model are validated by means of numerical simulations of coupled Gross-Pitaevskii equations, which indeed display the signature of the core inertial mass. Eventually, we discuss a nice formal analogy between the motion of massive vortices and that of massive charges in two-dimensional domains pierced by magnetic fields.

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“…The dynamics of massive vortices has been object of various theoretical works over the last few years [11][12][13][14]. In these systems, the vortex in component a surrounds a localized massive core in component b, assuming interaction constants that favor phase separation of the two components.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a massive superfluid vortex in $r^k$ confining potentials

Richaud¹,

Massignan²,

Penna³

et al. 2022

Preprint

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We study a superfluid vortex in condensate a trapped in a two-dimensional power-law potential ∝ r k . The vortex acquires a mass due to the presence of a condensate b of distinguishable atoms located in its core. The axisymmetry allows us to reduce the coupled dynamical equations of motion to a single radial equation with an effective potential V eff . In many cases, V eff has a single minimum, where the vortex precesses uniformly. A positive vortex with small mass orbits in the positive direction, but the sense of precession can reverse as the core mass increases.

show abstract

Vortex Solutions in a Binary Immiscible Bose-Einstein Condensate

Cited by 3 publications

References 78 publications

Dynamics of a massive superfluid vortex in rk confining potentials

Dynamics of a massive superfluid vortex in rk confining potentials

Massive Quantum Vortices in Superfluids

Dynamics of a massive superfluid vortex in $r^k$ confining potentials

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