The Quantum de Laval Nozzle: stability and quantum dynamics of sonic horizons in a toroidally trapped Bose gas containing a superflow

Abstract

We study an experimentally realizable system containing stable black hole-white hole acoustic horizons in toroidally trapped Bose-Einstein condensates - the quantum de Laval nozzle. We numerically obtain stationary flow configurations and assess their stability using Bogoliubov theory, finding both in hydrodynamic and non-hydrodynamic regimes there exist dynamically unstable regions associated with the creation of positive and negative energy quasiparticle pairs in analogy with the gravitational Hawking effect. The dynamical instability takes the form of a two mode squeezing interaction between resonant pairs of Bogoliubov modes. We study the evolution of dynamically unstable flows using the truncated Wigner method, which confirms the two mode squeezed state picture of the analogue Hawking effect for low winding number.

12 pages, 10 figures

References in corpus (2)

• A large magnetic storage ring for Bose-Einstein condensates
• Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation

Cited by in corpus (5)

• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose-Einstein condensates
• Cold atom confinement in an all-optical dark ring trap
• Phonon background versus analogue Hawking radiation in Bose-Einstein condensates
• Scale invariant thermodynamics of a toroidally trapped Bose gas