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Effect of cluster scavenging on homogeneous nucleation
A closed‐form expression for the effect of cluster scavenging on the rate of homogeneous nucleation of a vapor in the presence of continuum regime particles is obtained by solving the kinetic equation of nucleation by the method of singular perturbation. The reduction in nucleation rate of a condensing species at a given supersaturation is shown to be dependent largely on the number concentration, the size of the sink particles, and the molecular number concentration of the background gas. The reduction in the rate of nucleation due to the cluster scavenging by transition regime particles is also discussed
Two-photon transport through a waveguide coupling to a whispering gallery resonator containing an atom and photon-blockade effect
We investigate the two-photon transport through a waveguide side-coupling to
a whispering-gallery-atom system. Using the Lehmann-Symanzik-Zimmermann (LSZ)
reduction approach, we present the general formula for the two-photon processes
including the two-photon scattering matrices, the wavefunctions and the second
order correlation functions of the out-going photons. Based on the exact
results of the second order correlation functions, we analyze the quantum
statistics behaviors of the out-going photons for two different cases: (a) the
ideal case without the inter-modal coupling in the whispering gallery
resonator; (b) the case in the presence of the inter-modal coupling which leads
to more complex nonlinear behavior. In the ideal case, we show that the system
consists of two independent scattering pathways, a free pathway by a cavity
mode without atomic excitation, and a "Jaynes-Cummings" pathway described by
the Jaynes-Cummings Hamiltonian of a single-mode cavity coupling to an atom.
The free pathway does not contribution to correlated two-photon processes. In
the presence of intermodal mixing, the system no longer exhibit a free resonant
pathway. Instead, both the single-photon and the two photon transport
properties depend on the position of the atom. Thus, in the presence of
intermodal mixing one can in fact tune the photon correlation properties by
changing the position of the atom. Our formalism can be used to treat resonator
and cavity dissipation as well.Comment: 9 pages, 7 figure
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