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    Universality in rotating strongly interacting gases
    Mulkerin, BC ; Bradly, CJ ; Quiney, HM ; Martin, AM (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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    Universality and itinerant ferromagnetism in rotating strongly interacting Fermi gases
    Mulkerin, BC ; Bradly, CJ ; Quiney, HM ; Martin, AM (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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    Anisotropic and Long-Range Vortex Interactions in Two-Dimensional Dipolar Bose Gases
    Mulkerin, BC ; van Bijnen, RMW ; O'Dell, DHJ ; Martin, AM ; Parker, NG (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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    Coupled-pair approach for strongly interacting trapped fermionic atoms
    Bradly, CJ ; Mulkerin, BC ; Martin, AM ; Quiney, HM (AMER PHYSICAL SOC, 2014-08-19)