Quantum many-body chaos in driven and lattice trapped Bose mixtures

We propose a Floquet protocol for Rabi coupled Bose mixtures to study the dynamical emergence of quantum chaos. The chaotic dynamics emerge independently of the miscibility character of the mixture for both repulsive or attractive interactions, whereas the characteristic time of chaos- many-body Thouless time- is affected. We characterize the Thouless time by determining how it changes with respect to the physical system parameters, e.g., the driving frequency, tunneling and interaction strengths. In addition to determining Thouless time scaling with respect to the system size as usually employed in random quantum circuit models, here we also study the effect of atom number. Strikingly, we exemplify that the Thouless time features a power-law increase for varying atom number. As expected in local quantum systems as a sign of quantum many-body chaos, we observe a sharp rise in the spectral form factor before the prediction of random matrix theory (RMT). In this pre-RMT region, which is observed to be suppressed at unit filling, we demonstrate the universality of systems with different atom numbers.