Quantum Chaos in the Bose-Hubbard model
Andrey R. Kolovsky, Andreas Buchleitner
TL;DR
This paper numerically investigates the spectral properties of the 1D Bose-Hubbard model, revealing its non-integrability and Wigner-Dyson spectral statistics, which are characteristic of quantum chaotic systems.
Contribution
It provides the first detailed numerical analysis showing quantum chaos signatures in the Bose-Hubbard model, contrasting it with the integrable fermionic Hubbard model.
Findings
The 1D Bose-Hubbard model is non-integrable.
Spectral statistics follow Wigner-Dyson distribution.
Quantum chaos signatures are observed under certain conditions.
Abstract
We present a numerical study of the spectral properties of the 1D Bose-Hubbard model. Unlike the 1D Hubbard model for fermions, this system is found to be non-integrable, and exhibits Wigner-Dyson spectral statistics under suitable conditions.
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