2007/05/22 by P. Jain, Poonam Jain, Ashton S. Bradley +2 · 2 citations
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Classical mechanics #Instability #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Quasiparticle #Strong Light-Matter Interactions #cond-mat.other
paper · pdf · doi:10.1103/physreva.76.023617
published as Phys. Rev. A 76, 023617 (2007) · 12 pages, 10 figures
arxiv created 2007/05/22 · openalex publication_date 2007/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 nonhydrodynamic 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.