Quantum chaos and integrability in partially distinguishable fermions on a 1D lattice

P. Schlottmann

A. R Kolovsky, Andreas Buchleitner

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.

Andrey R. Kolovsky, Andreas Buchleitner

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.

Masanori Yamanaka, Yasuhiro Hatsugai, Mahito Kohmoto

Shuichi Murakami

Eric Brunner, Lukas Pausch, Edoardo G. Carnio +3 more

We unveil the signature of many-body interference across dynamical regimes of the Bose-Hubbard model. Increasing the particles' indistinguishability enhances the temporal fluctuations of few-body observables, with a dramatic amplification at the onset of quantum chaos. By resolving the exchange symmetries of partially distinguishable particles, we explain this amplification as the fingerprint of the initial state's coherences in the eigenbasis.