Quantum Nucleation of Phase Slips in a 1d Model of a Superfluid
arXiv:cond-mat/9704094 · doi:10.1103/PhysRevLett.79.5054
Abstract
We use a 1d model of a superfluid based on the Gross-Pitaevskii Lagrangian to illustrate a general numerical method designed to find quantum tunneling rates in extended bosonic systems. Specifically, we study flow past an obstacle and directly solve the imaginary time dynamics to find the ``bounce'' solution connected with the decay of the metastable laminar state via phase slip nucleation. The action for the tunneling confuguration goes to zero at the threshold (in superfluid velocity) for classical production of these slips. Applications to other processes are briefly discussed.
LaTeX, 4 pages, with 4 encapsulated PostScript figures
References in corpus (1)
Cited by in corpus (17)
- Persistent currents with non-quantized angular momentum
- Oscillations and decay of superfluid currents in a one-dimensional Bose gas on a ring
- Vortex structures in dilute quantum fluids
- Quantum phase slips in one-dimensional superfluids in a periodic potential
- Nuclear fission with mean-field instantons
- Collapse of a Bose Condensate with Attractive Interactions
- Instability of the superfluid flow as black-hole lasing effect
- Accurate numerical verification of the instanton method for macroscopic quantum tunneling: dynamics of phase slips
- Superfluid Flow Past an Array of Scatterers
- Wave nucleation rate in excitable systems in the low noise limit
- Macroscopic quantum tunneling of Bose-Einstein condensates with long-range interaction
- Quantum Nucleation of Skyrmions in Magnetic Films by Inhomogeneous Fields
- On the theory of vortex quantum tunnelling in the dense Bose superfluid helium II
- Instantons and radial excitations in attractive Bose-Einstein condensates
- Uniaxial modulation and the Berezinskii-Kosterlitz-Thouless transition
- Decay of Superflow Confined in Thin Torus: A Realization of Tunneling Quantum Fields
- Deppining of a Superfluid Vortex Inside a Circular Defect