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Pramana

Photon emission from non-oriented spin systems

G. Ramachandran, V Ravishankar

Published Jun 1, 1985• 2 citations
Publisher
DOI
10.1007/bf02847052

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We study theoretically the spontaneous emission rate of a two-level quantum emitter in any nanophotonic system. We derive a general representation of the rate on the orientation of the transition dipole by only invoking symmetry of the Green function. The rate depends quadratically on orientation and is determined by rates along three principal axes, which greatly simplifies visualization: emission rate surfaces provide insight on how preferred orientations for enhancement (or inhibition) depend on emission frequency and location, as shown for a mirror, a plasmonic sphere, and a photonic band-gap crystal. Moreover, insight is provided on means to ``switch'' the emission rates by actively controlling the orientation of the emitters' transition dipole.
We classify the pure states of a spin- s system into oriented and non-oriented states. A pure state is said to be non-oriented if it is not an eigenstate of S 2 and S z with respect to any axis of quantization. If it is an eigenstate it is oriented. In this paper, we discuss the notion of spin squeezing in these states. Our analysis shows that the oriented states are not squeezed while non-oriented states exhibit squeezing. We also present a new scheme for the construction of spin- s states using 2 s spinors oriented along different axes. Taking the case of s = 1, we show that `non-oriented' nature and hence squeezing arise from the intrinsic quantum correlations that exist among the spinors in the coupled state.