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In quantum materials macroscopic behavior is governed in non-trivial ways by quantum phenomena. This is usually achieved by exquisite control over atomic positions in crystalline solids. Here we demonstrate that the use of disordered glassy materials provides unique opportunities to tailor quantum material properties. By borrowing ideas from single molecule spectroscopy, we isolate single delocalized π-electron dye systems in relatively rigid ultrasmall (<10nm diameter) amorphous silica nanoparticles. We demonstrate that chemically tuning the local amorphous silica environment around the dye over a range of compositions enables exquisite control over dye quantum behavior, leading to efficient probes for photodynamic therapy (PDT) and stochastic optical reconstruction microscopy (STORM). Results suggest that efficient fine-tuning of light-induced quantum behavior mediated via effects like spin-orbit coupling can be effectively achieved by systematically varying averaged local environments in glassy amorphous materials as opposed to tailoring well-defined neighboring atomic lattice positions in crystalline solids. Resulting nanoprobes have required features proven to enable clinical translation.

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Hardy spaces of analytic functions are studied both on strongly pseudoconvex domains in C n and on domains of finite type in C 2 . Duality theorems, atomic decompositions, and factorization of functions are treated. Mapping properties of certain Hankel operators are studied.

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