Side-band Inequivalence: The Unexpected Symmetry Breaking.
In this letter, the recently predicted Side-band Inequivalence in quantum optomechanics is analyzed to the full order. It is shown that not only frequency shifts due to blue- and red-scattered (Stokes and anti-Stokes) mechanical side-bands are counter-intuitively inequal, but also there exists a maximum attainable side-band inequivalence which may be expected at an optimal operation point. The mathematical method employed here is a combination of operator algebra equipped with harmonic balance, which allows a clear understanding of the associated nonlinear process. This reveals the existence of three distinct operation regimes in terms of pump power or intracavity photon number, two of which have immeasurably small side-band inequivalence. Examples from Raman scattering data of various materials unambiguously confirms existence of a previously unnoticed side-band inequivalence.
Publisher URL: http://arxiv.org/abs/1811.00939