Shock Waves in a Superfluid with Higher-Order Dispersion

Abstract

Higher-order dispersion can lead to intriguing dynamics that are becoming a focus of modern hydrodynamics research. Such systems occur naturally, for example in shallow water waves and nonlinear optics, for which several types of novel dispersive shocks structures have been identified. Here we introduce ultracold atoms as a tunable quantum simulations platform for higher-order systems. Degenerate quantum gases are well controlled model systems for the experimental study of dispersive hydrodynamics in superfluids and have been used to investigate phenomena such as vortices, solitons, dispersive shock waves and quantum turbulence. With the advent of Raman-induced spin-orbit coupling, the dispersion of a dilute gas Bose-Einstein condensate can be modified in a flexible way, allowing for detailed investigations of higher-order dispersion dynamics. Here we present a combined experimental and theoretical study of shock structures generated in such a system. The breaking of Galilean invariance by the spin-orbit coupling allows two different types of shock structures to emerge simultaneously in a single system. Numerical simulations suggest that the behavior of these shock structures is affected by interactions with vortices in a manner reminiscent of emerging viscous hydrodynamics due to an underlying quantum turbulence in the system. This result suggests that spin-orbit coupling can be used as a powerful means to tun the effective viscosity in cold-atom experiments serving as quantum simulators of turbulent hydrodynamics, with applications from condensed matter and optics to quantum simulations of neutron stars.

10 pages, 6 figures

References in corpus (13)

• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Models of Pulsar Glitches
• On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
• Formation of Quantum Shock Waves by Merging and Splitting Bose-Einstein Condensates
• Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
• The stochastic projected Gross-Pitaevskii equation
• Chladni solitons and the onset of the snaking instability for dark solitons in confined superfluids
• Life Cycle of Superfluid Vortices and Quantum Turbulence in the Unitary Fermi Gas
• Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations
• Ring dark solitons in three-dimensional Bose-Einstein condensates
• Effective one-dimensional dynamics of elongated Bose-Einstein condensates
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• Accurate one-dimensional effective description of realistic matter-wave gap solitons

Cited by in corpus (4)

• Soliton-mean field interaction in Korteweg-de Vries dispersive hydrodynamics
• Quantum-torque-induced breaking of magnetic interfaces in ultracold gases
• Fate of the "vacuum point'' and of grey solitons in dispersive quantum shock waves in a one-dimensional Bose gas
• Staggered dispersions: Part I. Shocliton, quantum revival and fractalization