André Xuereb, Claudiu Genes, Aurélien Dantan
We study cavity optomechanics with an array of equidistant scatterers in a Fabry--P\'erot resonator. Our treatment departs from the traditional reflective optomechanics regime with single membranes and introduces a novel transmissive regime that allows better coupling of light to the collective motional dynamics of the array. We show that the array can behave as a single, highly transmissive, `superscatterer' possessing a specific collective motional mode which is strongly coupled to the cavity field with an optomechanical coupling strength that scales as N^{3/2} with the number of scatterers N. We also show that as opposed to the usual reflective optomechanics, where the coupling saturates as the polarisability of each scatterer increases (i.e., as the reflectivity tends to unity), a scaling of the coupling strength as the square of the polarisability arises. For the case of small polarisability, e.g., atoms in an optical lattice, our treatment also uncovers a new regime where the same N^{3/2} scaling is expected.
View original:
http://arxiv.org/abs/1202.6210
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