Amplitude Noise Reduction in a Nano-Mechanical Oscillator
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We study the quantum properties of a nano-mechanical oscillator via the squeezing of the oscillator amplitude. The static longitudinal compressive force F0close to a critical value at the Euler buckling instability leads to an anharmonic term in the Hamiltonian and thus the squeezing properties of the nano-mechanical oscillator are to be obtained from the Hamiltonian of the form H = a+a + β(a++a)/4. This Hamiltonian has no exact solution unlike the other known models of nonlinear interactions of the forms a+2a2, (a+a)2and a+4+ a4-(a+2a2+ a2a+2)previously employed in quantum optics to study squeezing. Here we solve the Schrodinger equation numerically and show that in-phase quadrature gets squeezed for both vacuum and coherent states. The squeezing can be controlled by bringing F0close to or far from the critical value Fc. We further study the effect of the transverse driving force on the squeezing in nano-mechanical oscillator.
author list (cited authors)
Kolkiran, A., & Agarwal, G.