  Anisotropic nanophotonic structures can couple the levels of a quantum
emitter through the quantum interference effect. In this paper we study the
coupling of quantum emitters excited states through the modes of a fully
anisotropic structure: a structure for which all directions are physically
nonequivalent. We consider an anisotropic metasurface as an illustrative
example of such a structure. We point out a novel degree of freedom in
controlling the temporal dynamics and spectral profiles of quantum emitters:
namely, we show that a combination of the metasurface anisotropy and tilt of
the emitter quantization axis with respect to the metasurface normal results in
nonsymmetric dynamics between the transitions of electrons from left-circular
state to the right-circular states and the inverse process. Our findings give
an additional mechanism for control over the light emission by quantum systems
and, vice versa, can be utilized for probing active transitions of quantum
emitters.
