17 Jun 2025
Investigating an open Bose-Hubbard trimer, this research demonstrates a direct correspondence between classical Lyapunov exponents and the level statistics of the quantum steady state's effective Hamiltonian, showing Poisson statistics for regular classical dynamics and Wigner-Dyson statistics for chaotic classical dynamics. The study also introduces a phase-space Inverse Participation Ratio to quantify steady-state localization and validates a semiclassical Langevin dynamics approach for reproducing quantum features.
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