Science Collected Works - Research Publications
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ItemSynthetic magnetohydrodynamics in Bose-Einstein condensates and routes to vortex nucleation(AMER PHYSICAL SOC, 2011-08-18)
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ItemUniversality in rotating strongly interacting gases(AMER PHYSICAL SOC, 2012-05-24)We analytically determine the properties of two interacting particles in a harmonic trap subject to a rotation or a uniform synthetic magnetic field, where the spherical symmetry of the relative Hamiltonian is preserved. Thermodynamic quantities such as the entropy and energy are calculated via the second order quantum cluster expansion. We find that in the strongly interacting regime the energy is universal, however the entropy changes as a function of the rotation or synthetic magnetic field strength.
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ItemPerturbative behavior of a vortex in a trapped Bose-Einstein condensate(AMER PHYSICAL SOC, 2012-07-05)We derive a set of equations that describe the shape and behaviour of a single perturbed vortex line in a Bose-Einstein condensate. Through the use of a matched asymptotic expansion and a unique coordinate transform a relation for a vortex's velocity, anywhere along the line, is found in terms of the trapping, rotation, and distortion of the line at that location. This relation is then used to find a set of differential equations that give the line's specific shape and motion. This work corrects a previous similar derivation by Anatoly A. Svidzinsky and Alexander L. Fetter [Phys. Rev. A \textbf{62}, 063617 (2000)], and enables a comparison with recent numerical results.
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ItemVibrations of a columnar vortex in a trapped Bose-Einstein condensate(AMER PHYSICAL SOC, 2013-06-14)We derive a governing equation for a Kelvin wave supported on a vortex line in a Bose-Einstein condensate, in a rotating cylindrically symmetric parabolic trap. From this solution the Kelvin wave dispersion relation is determined. In the limit of an oblate trap and in the absence of longitudinal trapping our results are consistent with previous work. We show that the derived Kelvin wave dispersion in the general case is in quantitative agreement with numerical calculations of the Bogoliubov spectrum and offer a significant improvement upon previous analytical work.
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ItemUniversality and itinerant ferromagnetism in rotating strongly interacting Fermi gases(AMER PHYSICAL SOC, 2012-11-30)We analytically determine the properties of three interacting fermions in a harmonic trap subject to an external rotation. Thermodynamic quantities such as the entropy and energy are calculated from the third order quantum virial expansion. By parameterizing the solutions in the rotating frame we find that the energy and entropy are universal for all rotations in the strongly interacting regime. Additionally, we find that rotation suppresses the onset of itinerant ferromagnetism in strongly interacting repulsive three-body systems.
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ItemNanoscale magnetometry through quantum control of nitrogen-vacancy centres in rotationally diffusing nanodiamonds(IOP PUBLISHING LTD, 2013-01-17)
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ItemAnisotropic and Long-Range Vortex Interactions in Two-Dimensional Dipolar Bose Gases(AMER PHYSICAL SOC, 2013-10-22)We perform a theoretical study into how dipole-dipole interactions modify the properties of superfluid vortices within the context of a two-dimensional atomic Bose gas of co-oriented dipoles. The reduced density at a vortex acts like a giant antidipole, changing the density profile and generating an effective dipolar potential centred at the vortex core whose most slowly decaying terms go as 1/ρ(2) and ln(ρ)/ρ(3). These effects modify the vortex-vortex interaction which, in particular, becomes anisotropic for dipoles polarized in the plane. Striking modifications to vortex-vortex dynamics are demonstrated, i.e., anisotropic corotation dynamics and the suppression of vortex annihilation.
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ItemCoupled-pair approach for strongly interacting trapped fermionic atoms(AMER PHYSICAL SOC, 2014-08-19)