Classical-to-quantum transition in multimode nonlinear systems with strong photon-photon coupling

Abstract

With advanced micro- and nano-photonic structures, the vacuum photon-photon coupling rate is anticipated to approach the intrinsic loss rate and lead to unconventional quantum effects. Here, we investigate the classical-to-quantum transition of such photonic nonlinear systems using the quantum cluster-expansion method, which addresses the computational challenge in tracking large photon number states of the fundamental and harmonic optical fields involved in the second harmonic generation process. Compared to the mean-field approximation used in weak coupling limit, the quantum cluster-expansion method solves multimode dynamics efficiently and reveals the quantum behaviors of optical parametric oscillations around the threshold. This work presents a universal tool to study quantum dynamics of multimode systems and explore the nonlinear photonic devices for continuous-variable quantum information processing.

7 pages, 6 figures

References in corpus (6)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Optomechanical entanglement between a movable mirror and a cavity field
• Quantum information with Gaussian states
• Quantum computing and the entanglement frontier
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Cited by in corpus (4)

• Mesoscopic ultrafast nonlinear optics -- The emergence of multimode quantum non-Gaussian physics
• Determining the validity of cumulant expansions for central spin models
• Quantum Fluctuation Dynamics of Dispersive Superradiant Pulses in a Hybrid Light-Matter System
• Quantum effects beyond mean-field treatment in quantum optics