Caustics in the sineGordon model from quenches in coupled 1D Bose gases
Abstract
Caustics are singularities that occur naturally in optical, hydrodynamic and quantum waves, giving rise to high amplitude patterns that can be described using catastrophe theory. In this paper we study caustics in a statistical field theory setting in the form of the sineGordon model that describes a variety of physical systems including coupled 1D superfluids. Specifically, we use classical field simulations to study the dynamics of two ultracold 1D Bose gases (quasicondensates) that are suddenly coupled to each other and find that the resulting nonequilibrium dynamics are dominated by caustics. Thermal noise is included by sampling the initial states from a Boltzmann distribution for phononic excitations. We find that caustics pile up over time in both the number and phase difference observables leading to a characteristic nonthermal `circus tent' shaped probability distribution at long times.
 Publication:

arXiv eprints
 Pub Date:
 January 2023
 DOI:
 10.48550/arXiv.2301.08410
 arXiv:
 arXiv:2301.08410
 Bibcode:
 2023arXiv230108410A
 Keywords:

 Condensed Matter  Quantum Gases;
 Condensed Matter  Statistical Mechanics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 28 pages, 13 figures