arXiv · 1110.6386
Quantum Dynamics of a Bose Superfluid Vortex
Abstract
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 $ρ_n(T)$ 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 $\tilde Ω= \hbar Ω/k_BT$, the standard Hall-Vinen/Iordanskii equations are valid when $\tilde Ω\ll 1$ (the "classical regime"), but elsewhere, the equations of motion become highly retarded, with significant experimental implications when $\tilde Ω\gtrsim 1$.
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L. Thompson, P. C. E. Stamp. 2012-04-25. Quantum Dynamics of a Bose Superfluid Vortex. https://doi.org/10.1103/physrevlett.108.184501
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