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Chaos-induced breakdown of Bose-Hubbard modeling

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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… Click to show full 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: breakdown bose; hubbard modeling; induced breakdown; bose hubbard; chaos; chaos induced

Journal Title: Physical Review A
Year Published: 2020

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