Chaos induced breakdown of Bose-Hubbard modeling
Quantum Gases
2020-01-29 v2 Chaotic Dynamics
Abstract
We show that the Bose-Hubbard approximation fails due to the emergence of chaos, even when excited modes are far detuned and the standard validity condition is satisfied. This is formally identical to the Melnikov-Arnold analysis of the stochastic pump model. Previous numerical observations of Bose-Hubbard breakdown are precisely reproduced by our simple model and can be attributed to many body enhancement of chaos.
Keywords
Cite
@article{arxiv.1908.01987,
title = {Chaos induced breakdown of Bose-Hubbard modeling},
author = {Sayak Ray and Doron Cohen and Amichay Vardi},
journal= {arXiv preprint arXiv:1908.01987},
year = {2020}
}
Comments
8 pages, 8 figures