**Quantum plasmonics and how to fix Purcellâ€™s formula for spontaneous emission enhancement** - Stephen Hughes

The study of quantum light-matter interactions near metal
cavities can be used to explore fundamental quantum optical regimes such
as modiﬁed spontaneous emission of a single photon emitter. Metal
resonators create localized surface plasmons which give rise to
pronounced resonances in a similar way to high-Q cavity structures, but
with incredibly small mode volumes. However, metal nanostructures are
signiﬁcantly more complicated to model because of material losses and
thus standard mode expansion techniques fail.
This talk will introduce several regimes of quantum nanoplasmonics with
a focus on light-matter interactions between a single quantum dot and a
metal resonator. We first show why Purcellâ€™s formula is wrong for any
finite Q cavity [1], and we show how to unambiguously fix this formula
for any resonator including metallic cavities. We will also introduce
the phenomena of strong coupling [2] and resonance fluorescence (Mollow
triplet) of a driven quantum dot near a metal nanoparticle [3], and show
how these well known quantum optical effects are influenced by
bath-induced coupling from the metal resonator.
[1] P. Kristensen, C. Van Vlack, S. Hughes, Generalized mode volume for
leaky optical cavities, Optics Letters 37, 1649 (2012).
[2] C. Van Vlack, P. T. Kristensen, and S. Hughes, Spontaneous emission
spectra and quantum light-matter interactions from a strongly-coupled
quantum dot metal-nanoparticle system, Physical Review B 85, 0765303 (2012).
[3] Rong-Chun Ge, C. Van Vlack, P. Yao, Jeff. F. Young, S. Hughes,
Accessing quantum nanoplasmonics in a hybrid quantum-dot metal
nanosystem: Mollow triplet of a quantum dot near a metal nanoparticle,
Physical Review B 87, 205425 (2013).