Non-adiabatic optomechanical Hamiltonian of a moving dielectric membrane in a cavity

Details Non-adiabatic optomechanical Hamiltonian of a moving dielectric membrane in a cavity Non-adiabatic optomechanical Hamiltonian of a moving dielectric membrane in a cavity

2011-07-07

arxiv.org/abs/1107.1315v2

Phys. Rev. A 84, 023812 (2011)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.84.023812

We formulate a non-relativistic Hamiltonian in order to describe the interaction between a moving dielectric membrane and radiation pressure. Such a Hamiltonian is derived without making use of the single-mode adiabatic approximation, and hence it enables us to incorporate multi-mode effects in cavity optomechanics. By performing second quantization, we show how a set of generalized Fock states can be constructed to represent quantum states of the membrane and cavity field. In addition, we discuss examples showing how photon scattering among different cavity modes would modify the interaction strengths and the mechanical frequency of the membrane.

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