159 research outputs found
Coherent-feedback control strategy to suppress spontaneous switching in ultra-low power optical bistability
An optical resonator with intracavity Kerr nonlinearity can exhibit
dispersive bistability suitable for all-optical switching. With nanophotonic
elements it may be possible to achieve attojoule switching energies, which
would be very attractive for ultra-low power operation but potentially
problematic because of quantum fluctuation-induced spontaneous switching. In
this manuscript I derive a quantum-optical model of two Kerr-nonlinear ring
resonators connected in a coherent feedback loop, and show via numerical
simulation that a properly designed `controller' cavity can significantly
reduce the spontaneous switching rate of a bistable `plant' cavity in a
completely embedded and autonomous manner.Comment: 8 pages, 4 color figure
Trapped Modes in Linear Quantum Stochastic Networks with Delays
Networks of open quantum systems with feedback have become an active area of
research for applications such as quantum control, quantum communication and
coherent information processing. A canonical formalism for the interconnection
of open quantum systems using quantum stochastic differential equations (QSDEs)
has been developed by Gough, James and co-workers and has been used to develop
practical modeling approaches for complex quantum optical, microwave and
optomechanical circuits/networks. In this paper we fill a significant gap in
existing methodology by showing how trapped modes resulting from feedback via
coupled channels with finite propagation delays can be identified
systematically in a given passive linear network. Our method is based on the
Blaschke-Potapov multiplicative factorization theorem for inner matrix-valued
functions, which has been applied in the past to analog electronic networks.
Our results provide a basis for extending the Quantum Hardware Description
Language (QHDL) framework for automated quantum network model construction
(Tezak \textit{et al.} in Philos. Trans. R. Soc. A, Math. Phys. Eng. Sci.
370(1979):5270-5290, to efficiently treat scenarios in which each
interconnection of components has an associated signal propagation time delay
Tracking-FCS: Fluorescence correlation spectroscopy of individual particles
We exploit recent advances in single-particle tracking to perform fluorescence correlation spectroscopy on individual fluorescent particles, in contrast to traditional methods that build up statistics over a sequence of many measurements. By rapidly scanning the focus of an excitation laser in a circular pattern, demodulating the measured fluorescence, and feeding these results back to a piezoelectric translation stage, we track the Brownian motion of fluorescent polymer microspheres in aqueous solution in the plane transverse to the laser axis. We discuss the estimation of particle diffusion statistics from closed-loop position measurements, and we present a generalized theory of fluorescence correlation spectroscopy for the case that the motion of a single fluorescent particle is actively tracked by a time-dependent laser intensity. We model the motion of a tracked particle using Ornstein-Uhlenbeck statistics, using a general theory that contains a umber of existing results as specific cases. We find good agreement between our theory and experimental results, and discuss possible future applications of these techniques to passive, single-shot, single-molecule fluorescence measurements with many orders of magnitude in time resolution
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