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Abstract: We explore theoretically the optomechanical interaction between a light fieldand a mechanical mode of ultracold fermionic atoms inside a Fabry-P\-{e}rotcavity. The low-lying phonon mode of the fermionic ensemble is a collectivedensity oscillation associated with particle-hole excitations, and ismathematically analogous to the momentum side-mode excitations of a bosoniccondensate. The mechanical motion of the fermionic particle-hole system behaveshence as a ``moving mirror.- We derive an effective system Hamiltonian thathas the form of generic optomechanical systems. We also discuss theexperimental consequences the optomechanical coupling in optical bistabilityand in the noise spectrum of the system.

Author: R. Kanamoto, P. Meystre

Source: https://arxiv.org/

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