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 ${\rho }_n(T)$ 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 $\tilde{\Omega }=\hslash \Omega /k_{B}T$, 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 $\tilde{\Omega }\gtrsim 1$.

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

References in corpus (5)

• Quantum and quasiclassical types of superfluid turbulence
• Dissipative dynamics of superfluid vortices at non-zero temperatures
• Vortex mass in a superfluid at low frequencies
• Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff
• Quantum vortex dynamics in two-dimensional neutral superfluids

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• Strength of the Vortex-Pinning Interaction from Real-Time Dynamics
• Role of thermal friction in relaxation of turbulent Bose-Einstein condensates
• Motion of a superfluid vortex according to holographic quantum dissipation
• Exactly solvable model for a solitonic vortex in a compressible superfluid
• A damped point-vortex model for polar-core spin vortices in a ferromagnetic spin-1 Bose-Einstein condensate
• Small Oscillations of a Vortex Ring: Hamiltonian Formalism and Quantization
• Inertial and fluctuational effects on the motion of a Bose superfluid vortex
• Ultrafast non-equilibrium dynamics of rotons in superfluid helium
• Vortex Dynamics: Quantum versus Classical Regimes
• Vacuum tunneling of vortices in two-dimensional ${}^4$He superfluid films
• A cryogenic chamber setup for superfluid helium experiments with optical fiber and electrical access