Probing quantum chaos in multipartite systems

Understanding the emergence of quantum chaos in multipartite systems is challenging presence interactions. We show that contribution subsystems to global behavior can be revealed by probing full counting statistics local, total, and interaction energies. As spectral form factor, signatures time domain dictate a dip-ramp-plateau structure characteristic function, i.e., Fourier transform eigenvalue distribution. With this approach, we explore fate interacting are locally maximally chaotic. Global suppressed at strong coupling, as illustrated with coupled copies random-matrix Hamiltonians Sachdev-Ye-Kitaev model. Our method amenable experimental implementation using single-qubit interferometry.