Chaos-induced breakdown of Bose-Hubbard modeling

Sayak Ray; Doron Cohen; Amichay Vardi

doi:10.1103/PhysRevA.101.013624

Chaos-induced breakdown of Bose-Hubbard modeling

Sayak Ray, Doron Cohen, Amichay Vardi

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Article number	013624
Journal	Physical Review A
Volume	101
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.101.013624
State	Published - 21 Jan 2020

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.101.013624

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title = "Chaos-induced breakdown of Bose-Hubbard modeling",

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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AB - 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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Chaos-induced breakdown of Bose-Hubbard modeling

Abstract

All Science Journal Classification (ASJC) codes

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