Quantum Dynamics of a Bose Superfluid Vortex

Details Quantum Dynamics of a Bose Superfluid Vortex Quantum Dynamics of a Bose Superfluid Vortex

2011-10-28

arxiv.org/abs/1110.6386v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages (4 pages + supp info), 2 figures, accepted to PRL

Scientific paper

We derive a fully quantum-mechanical equation of motion for a vortex in a 2-dimensional Bose superfluid, in the temperature regime where the normal fluid density $\rho_n(T)$ is small. The coupling between the vortex "zero mode" and the quasiparticles has no term linear in the quasiparticle variables -- the lowest-order coupling is quadratic. We find that as a function of the dimensionless frequency $\tilde \Omega = \hbar \Omega/k_BT$, the standard Hall-Vinen/Iordanskii equations are valid when $\tilde \Omega \ll 1$ (the "classical regime"), but elsewhere, the equations of motion become highly retarded, with significant experimental implications when $\tilde \Omega \gtrsim 1$.

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