7 citations · 14 across the 3 of their papers we have counts for
3 papers
Dynamical Phase Transitions, Caustics, and Quantum Dark Bands
Valentin Link, Walter T. Strunz, D. H. J. O'Dell
We provide a new perspective on quantum dynamical phase transitions (DPTs) by explaining their origin in terms of caustics that form in the Fock space representation of the many-bo…
Duality between the quantum inverted harmonic oscillator and inverse square potentials
Sriram Sundaram, C. P. Burgess, D. H. J. O'Dell
In this paper we show how the quantum mechanics of the inverted harmonic oscillator can be mapped to the quantum mechanics of a particle in a super-critical inverse square potentia…
Logarithmic catastrophes and Stokes's phenomenon in waves at horizons
L. M. Farrell, C. J. Howls, D. H. J. O'Dell
Waves propagating near an event horizon display interesting features including logarithmic phase singularities and caustics. We consider an acoustic horizon in a flowing Bose-Einst…