Stochastic phase slips in toroidal Bose-Einstein condensates

Abstract

Motivated by recent experiments we study the influence of thermal noise on the phase slips in toroidal Bose-Einstein condensates with a rotating weak link. We derive a generalized Arrheniuslike expression for the rate of stochastic phase slips. We develop a method to estimate the energy barrier separating different superflow states. The parameters at which the energy barrier disappears agree with the critical parameters for deterministic phase slips obtained from dynamics simulations, which confirms the validity of our energetic analysis. We reveal that adding thermal noise lowers the phase-slip threshold. However, the quantitative impact of the stochastic phase slips turns out to be too small to explain the significant discrepancy between theoretical and the experimental results.

Critical Transport and Vortex Dynamics in a Thin Atomic Josephson Junction

“…Re-cent experiments with inhomogeneous three-dimensional Fermi superfluids [24,25] revealed the intimate connection between phase slippage and dissipation arising from vortices created within the barrier and shed into the superfluid. Similar effects have been studied in ringshaped bosonic condensates [26][27][28][29], mesoscopic structures [30,31] and lower-dimensional geometries [32][33][34]. While vortices crossing the weak link are known to yield a finite resistance [25,27,30], the relation between microscopic vortex nucleation, dynamics and macroscopic dissipative flow is still poorly understood.…”

Thermally activated phase slips of one-dimensional Bose gases in shallow optical lattices

“…While the superflow decay via TAPS has been extensively studied both theoretically and experimentally [10,26,32,40,59,60], none of the previous works has succeeded in making as quantitative a comparison as the present work.…”

Projected Gross–Pitaevskii Equation for Ring-Shaped Bose–Einstein Condensates

“…This will allow the modeling of various fintie-temperature processes in BEC which is the main application of PGPE models. We therefore believe that the proposed method can be especially useful for the modeling of the temperature-induced decay of persistent currents in BEC and will help to resolve the existing discrepancies between theory and experiment [14,15,20,21].…”