Bulletin of the American Physical Society
APS March Meeting 2021
Volume 66, Number 1
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session J21: Advances in Computational Physics
3:00 PM–5:48 PM,
Tuesday, March 16, 2021
Sponsoring Unit: DCOMP
Chair: Khadijeh Najafi, IBM TJ Watson Research Center
Abstract: J21.00003 : Quantum caustics in the dynamics of the three mode Bose-Hubbard model*
3:24 PM–3:36 PM
described by catastrophe theory that are stable under perturbations. Here we show that the dynamics following a quench in the Bose-Hubbard trimer leads to discretized codimension-3 versions of classical wave catastrophes including the hyperbolic umbilic and elliptic umbilic catastrophes. We argue that these catastrophes are organized by the 8-dimensional corank-2 catastrophe known as X_9. These results suggest that caustics are a generic and universal feature, not just of classical waves, but also of quantum many-body wavefunctions.
*We acknowledge the support of the Natural Sciences and Engineering Research Council of Canada (NSERC).
The American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics.
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