Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system

Details Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system

2008-05-27

arxiv.org/abs/0805.4102v4

Phys. Rev. A 80, 065801 (2009)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.80.065801

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.

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