2,498 research outputs found
Noisy Classical Field Theories with Two Coupled Fields: Dependence of Escape Rates on Relative Field Stiffnesses
Exit times for stochastic Ginzburg-Landau classical field theories with two
or more coupled classical fields depend on the interval length on which the
fields are defined, the potential in which the fields deterministically evolve,
and the relative stiffness of the fields themselves. The latter is of
particular importance in that physical applications will generally require
different relative stiffnesses, but the effect of varying field stiffnesses has
not heretofore been studied. In this paper, we explore the complete phase
diagram of escape times as they depend on the various problem parameters. In
addition to finding a transition in escape rates as the relative stiffness
varies, we also observe a critical slowing down of the string method algorithm
as criticality is approached.Comment: 16 pages, 10 figure
Intrinsic Cavity QED and Emergent Quasi-Normal Modes for Single Photon
We propose a special cavity design that is constructed by terminating a
one-dimensional waveguide with a perfect mirror at one end and doping a
two-level atom at the other. We show that this atom plays the intrinsic role of
a semi-transparent mirror for single photon transports such that quasi-normal
modes (QNM's) emerge spontaneously in the cavity system. This atomic mirror has
its reflection coefficient tunable through its level spacing and its coupling
to the cavity field, for which the cavity system can be regarded as a two-end
resonator with a continuously tunable leakage. The overall investigation
predicts the existence of quasi-bound states in the waveguide continuum. Solid
state implementations based on a dc-SQUID circuit and a defected line resonator
embedded in a photonic crystal are illustrated to show the experimental
accessibility of the generic model.Comment: 4 pages,5 figures, Comments welcom
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