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Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system

2008/05/31 by Zongping Gong, Z. R. Gong, Hou Ian +4
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #Mechanical and Optical Resonators #Photonic and Optical Devices #quant-ph

paper · pdf · doi:10.1103/physreva.80.065801

published as Phys. Rev. A 80, 065801 (2009) · 4 pages, 2 figures

arxiv created 2009/09/13 · openalex publication_date 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the Born-Oppenheimer approximation, we derive an effective Hamiltonian for an optomechanical system that leads to a nonlinear Kerr effect in the system's vacuum. The oscillating mirror at one edge of the optomechanical system induces a squeezing effect in the intensity spectrum of the cavity field. A near-resonant laser field is applied at the other edge to drive the cavity field in order to enhance the Kerr effect. We also propose a quantum-nondemolition-measurement setup to monitor a system with two cavities separated by a common oscillating mirror based on our effective Hamiltonian approach.

Citations