1,331 research outputs found
A Hamiltonian treatment of stimulated Brillouin scattering in nanoscale integrated waveguides
We present a multimode Hamiltonian formulation for the problem of
opto-acoustic interactions in optical waveguides. We establish a Hamiltonian
representation of the acoustic field and then introduce a full system with a
simple opto-acoustic coupling that includes both photoelastic/electrostrictive
and radiation pressure/moving boundary effects. The Heisenberg equations of
motion are used to obtain coupled mode equations for quantized envelope
operators for the optical and acoustic fields. We show that the coupling
coefficients obtained coincide with those established earlier, but our
formalism provides a much simpler demonstration of the connection between
radiation pressure and moving boundary effects than in previous work [C. Wolff
et al, Physical Review A 92, 013836 (2015)].Comment: 39 pages: 20 pages for main article + 19 pages supplementary
information; 3 figure
Quantum frequency conversion and strong coupling of photonic modes using four-wave mixing in integrated microresonators
Single photon-level quantum frequency conversion has recently been
demonstrated using silicon nitride microring resonators. The resonance
enhancement offered by such systems enables high-efficiency translation of
quantum states of light across wide frequency ranges at sub-watt pump powers.
Using a quantum-mechanical Hamiltonian formalism, we present a detailed
theoretical analysis of the conversion dynamics in these systems, and show that
they are capable of converting single- and multi-photon quantum states.
Analytic formulas for the conversion efficiency, spectral conversion
probability density, and pump power requirements are derived which are in good
agreement with previous theoretical and experimental results. We show that with
only modest improvement to the state of the art, efficiencies exceeding 95% are
achievable using less than 100 mW of pump power. At the critical driving
strength that yields maximum conversion efficiency, the spectral conversion
probability density is shown to exhibit a flat-topped peak, indicating a range
of insensitivity to the spectrum of a single photon input. Two alternate
theoretical approaches are presented to study the conversion dynamics: a
dressed mode approach that yields a better intuitive picture of the conversion
process, and a study of the temporal dynamics of the participating modes in the
resonator, which uncovers a regime of Rabi-like coherent oscillations of single
photons between two different frequency modes. This oscillatory regime arises
from the strong coupling of distinct frequency modes mediated by coherent
pumps.Comment: 14 pages, 7 figure
Thermal Light as a Mixture of Sets of Pulses: the Quasi-1D Example
The relationship between thermal light and coherent pulses is of fundamental
and practical interest. We now know that thermal light cannot be represented as
a statistical mixture of single pulses. In this paper we ask whether or not
thermal light can be represented as a statistical mixture of sets of pulses. We
consider thermal light in a one-dimensional wave-guide, and find a convex
decomposition into products of orthonormal coherent states of localized,
nonmonochromatic modes.Comment: 6 pages and 3 figures, published versio
Community Pet Food Drive and Pet Food Pantry
My capstone project entailed a community pet food drive held at the Star Albertsons where all the donations were donated to the local food bank in Star. I also was able to create a place for a permanent barrel located in front of the local Star Outreach Food Bank for pet food only donations
Thermal light cannot be represented as a statistical mixture of single pulses
We ask whether or not thermal light can be represented as a mixture of single
broadband coherent pulses. We find that it cannot. Such a mixture is simply not
rich enough to mimic thermal light; indeed, it cannot even reproduce the
first-order correlation function. We show that it is possible to construct a
modified mixture of single coherent pulses that does yield the correct
first-order correlation function at equal space points. However, as we then
demonstrate, such a mixture cannot reproduce the second-order correlation
function.Comment: 5 pages, 2 figures. Published versio
Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magneto-electric medium
We present a canonical quantization of macroscopic electrodynamics. The
results apply to inhomogeneous media with a broad class of linear
magneto-electric responses which are consistent with the Kramers-Kronig and
Onsager relations. Through its ability to accommodate strong dispersion and
loss, our theory provides a rigorous foundation for the study of quantum
optical processes in structures incorporating metamaterials, provided these may
be modeled as magneto-electric media. Previous canonical treatments of
dielectric and magneto-dielectric media have expressed the electromagnetic
field operators in either a Green function or mode expansion representation.
Here we present our results in the mode expansion picture with a view to
applications in guided wave and cavity quantum optics.Comment: Submitted to Physical Review A 24/07/201
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