Abstract
We study spectral correlations in many-body quantum mixtures of fermions, bosons, and qubits with periodically kicked spreading and mixing of species. We take two types of mixing, namely, Jaynes-Cummings and Rabi, respectively, satisfying and breaking the conservation of a total number of species. We analytically derive the generating Hamiltonians whose spectral properties determine the spectral form factor in the leading order. We further analyze the system-size scaling of Thouless time , beyond which the spectral form factor follows the prediction of random matrix theory. The dependence of crosses over from to with an increasing Jaynes-Cummings mixing between qubits and fermions or bosons in a finite-size chain, and it finally settles to in the thermodynamic limit for any mixing strength. The Rabi mixing between qubits and fermions leads to , previously predicted for single species of qubits or fermions without total-number conservation.
- Received 17 October 2023
- Accepted 15 February 2024
DOI:https://doi.org/10.1103/PhysRevE.109.L032201
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