Abstract
We study mechanical cooling in systems of coupled passive (lossy) and active (with gain) optical resonators. We find that for a driving laser which is red-detuned with respect to the cavity frequency, the supermode structure of the system is radically changed, featuring the emergence of genuine high-order exceptional points. This in turn leads to giant enhancement of both the mechanical damping and the spring stiffness, facilitating low-power mechanical cooling in the vicinity of gain-loss balance. This opens up new avenues of steering micromechanical devices with exceptional points beyond the lowest-order two.
Highlights
We study mechanical cooling in systems of coupled passive and active optical resonators
To demonstrate cavity optomechanics (COM) cooling at h-exceptional points (EP) (i.e., 3-EP in our system), we study the linear response of the system to external noise, by expanding all the operators around their mean values, ai → ai,s + δai (i = 1, 2)
We find that for a pump laser that is red-detuned from the cavity resonance by the mechanical frequency (i.e., Δ/ωm ~ −1), the supermode structure of the system radically changes, featuring emergence of high-order EP (h-EP)
Summary
We study mechanical cooling in systems of coupled passive (lossy) and active (with gain) optical resonators. We find that for a driving laser which is red-detuned with respect to the cavity frequency, the supermode structure of the system is radically changed, featuring the emergence of genuine highorder exceptional points This in turn leads to giant enhancement of both the mechanical damping and the spring stiffness, facilitating low-power mechanical cooling in the vicinity of gain-loss balance. Remarkable EP-assisted COM effects, e.g. low-power phonon emissions[28], chaos[29], and non-reciprocal energy transfer[31] or asymmetric mode switching based on dynamical EP-encircling[32], have been revealed These studies, use a purely optical EP of order 2, where only two eigenfunctions of the system coalesce[31, 33]. These findings provide new insights for COM engineering with the aid of h-EPs and can be potentially useful for achieving various functional low-power acoustic devices
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