Thermal Decay of Planar Jones-Roberts Solitons

Abstract

Homogeneous planar superfluids exhibit a range of low-energy excitations that also appear in highly excited states like superfluid turbulence. In dilute gas Bose-Einstein condensates, the Jones- Roberts soliton family includes vortex dipoles and rarefaction pulses in the low and high velocity regimes, respectively. These excitations carry both energy and linear momentum, making their decay characteristics crucial for understanding superfluid dynamics. In this work, we develop the theory of planar soliton decay due to thermal effects, as described by the stochastic projected Gross-Pitaevskii theory of reservoir interactions. We analyze two distinct damping terms involving transfer between the condensate and the non-condensate reservoir: particle transfer that also involves energy and usually drives condensate growth, and number-conserving energy transfer. We provide analytical treatments for both the low and high velocity regimes and identify conditions under which either mechanism dominates. Our findings indicate that energy damping prevails at high phase space density. These theoretical results are supported by numerical studies covering the entire velocity range from vortex dipole to rarefaction pulse. We use interaction energy to characterize rarefaction pulses, analogous to the distance between vortices in vortex dipoles, offering an experimentally accessible test for finite temperature theory in Bose-Einstein condensates.

13 pages + appendices, 15 figures. Comments welcome!

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Cited by in corpus (6)

• Observation of Jones-Roberts solitons in a paraxial quantum fluid of light
• Stochastic Gross-Pitaevskii theory for a spin-1 Bose gas: Application to superfluidity in two dimensions
• Equilibrium, Relaxation and Fluctuations in homogeneous Bose-Einstein Condensates: Linearized Classical Field Analysis
• Vortex to Rotons Transition in Dipolar Bose-Einstein Condensates
• Quantum vortex dipole as a probe of the normal component distribution
• Velocity correlations of vortices and rarefaction pulses in compressible planar quantum fluids