Deterministic generation of non-classical mechanical states in cavity optomechanics via reinforcement learning

Yu-Hong Liu, Qing-Shou Tan, Le-Man Kuang, Jie-Qiao Liao

Published 2025-02-12Version 1

Non-classical mechanical states, as vital quantum resources for exploring macroscopic quantum behavior, have wide applications in the study of the fundamental quantum mechanics and modern quantum technology. In this work, we propose a scheme for deterministically generating non-classical mechanical states in cavity optomechanical systems. By working in the eigen-representation of the nonlinear optomechanical systems, we identify the carrier-wave resonance conditions and seek for the optimal driving pulses for state preparations. Concretely, we employ the reinforcement learning method to optimize the pulsed driving fields, effectively suppressing the undesired transitions induced by both the pulsed driving fields and dissipations. This approach enables the high-fidelity preparation of phononic Fock states and superposed Fock states in the single-resonator optomechanical systems, as well as two-mode entangled states in the two-resonator optomechanical systems. The statistical properties of the generated states are also examined. Our results open a way for quantum state engineering in quantum optics and quantum information science via reinforcement learning.