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arXiv · 1908.01987

Chaos induced breakdown of Bose-Hubbard modeling

Sayak Ray·Doron Cohen·Amichay Vardi
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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.

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Sayak Ray, Doron Cohen, Amichay Vardi. 2019-08-06. Chaos induced breakdown of Bose-Hubbard modeling. https://doi.org/10.1103/physreva.101.013624

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