727 research outputs found
Spontaneous and Stimulated Raman Scattering near Metal Nanostructures in the Ultrafast, High-Intensity regime
The inclusion of atomic inversion in Raman scattering can significantly alter
field dynamics in plasmonic settings. Our calculations show that large local
fields and femtosecond pulses combine to yield: (i) population inversion within
hot spots; (ii) gain saturation; and (iii) conversion efficiencies
characterized by a switch-like transition to the stimulated regime that spans
twelve orders of magnitude. While in Raman scattering atomic inversion is
usually neglected, we demonstrate that in some circumstances full accounting of
the dynamics of the Bloch vector is required
Solvable glassy system: static versus dynamical transition
A directed polymer is considered on a flat substrate with randomly located
parallel ridges. It prefers to lie inside wide regions between the ridges. When
the transversel width is exponential in the
longitudinal length , there can be a large number of
available wide states. This ``complexity'' causes a phase transition from a
high temperature phase where the polymer lies in the widest lane, to a glassy
low temperature phase where it lies in one of many narrower lanes. Starting
from a uniform initial distribution of independent polymers, equilibration up
to some exponential time scale induces a sharp dynamical transition. When the
temperature is slowly increased with time, this occurs at a tunable
temperature. There is an asymmetry between cooling and heating. The structure
of phase space in the low temperature non-equilibrium glassy phase is of a
one-level tree.Comment: 4 pages revte
A Dynamical Model of Harmonic Generation in Centrosymmetric Semiconductors
We study second and third harmonic generation in centrosymmetric
semiconductors at visible and UV wavelengths in bulk and cavity environments.
Second harmonic generation is due to a combination of symmetry breaking, the
magnetic portion of the Lorentz force, and quadrupolar contributions that
impart peculiar features to the angular dependence of the generated signals, in
analogy to what occurs in metals. The material is assumed to have a non-zero,
third order nonlinearity that gives rise to most of the third harmonic signal.
Using the parameters of bulk Silicon we predict that cavity environments can
significantly modify second harmonic generation (390nm) with dramatic
improvements for third harmonic generation (266nm). This occurs despite the
fact that the harmonics may be tuned to a wavelength range where the dielectric
function of the material is negative: a phase locking mechanism binds the pump
to the generated signals and inhibits their absorption. These results point the
way to novel uses and flexibility of materials like Silicon as nonlinear media
in the visible and UV ranges
Electrodynamics of Media
Contains reports on two research projects.Joint Services Electronics Programs (U. S. Army, U. S. Navy, and U. S. Air Force) under Contract DA 28-043-AMC-02536(E)M. I. T. Sloan Fund for Basic ResearchNational Science Foundation (Grant GK-3370
Higher-Order Squeezing in a Boson Coupled Two-Mode System
We consider a model for nondegenerate cavity fields interacting through an intervening Boson field. The quantum correlations introduced in this manner are manifest through their higher-order correlation functions where a type of squeezed state is identified
Non-Markovian stochastic Liouville equation and anomalous relaxation kinetics
The kinetics of phase and population relaxation in quantum systems induced by
noise with anomalously slowly decaying correlation function P (t) ~ (wt)^{-
alpha}, where 0 < alpha < 1 is analyzed within continuous time random walk
approach. The relaxation kinetics is shown to be anomalously slow. Moreover for
alpha < 1 in the limit of short characteristic time of fluctuations w^{-1} the
kinetics is independent of w. As alpha \to 1 the relaxation regime changes from
the static limit to fluctuation narrowing. Simple analytical expressions are
obtained describing the specific features of the kinetics.Comment: 7 pages, 2 figure
Efficient low-power terahertz generation via on-chip triply-resonant nonlinear frequency mixing
Achieving efficient terahertz (THz) generation using compact turn-key sources
operating at room temperature and modest power levels represents one of the
critical challeges that must be overcome to realize truly practical
applications based on THz. Up to now, the most efficient approaches to THz
generation at room temperature -- relying mainly on optical rectification
schemes -- require intricate phase-matching set-ups and powerful lasers. Here
we show how the unique light-confining properties of triply-resonant photonic
resonators can be tailored to enable dramatic enhancements of the conversion
efficiency of THz generation via nonlinear frequency down-conversion processes.
We predict that this approach can be used to reduce up to three orders of
magnitude the pump powers required to reach quantum-limited conversion
efficiency of THz generation in nonlinear optical material systems.
Furthermore, we propose a realistic design readily accesible experimentally,
both for fabrication and demonstration of optimal THz conversion efficiency at
sub-W power levels
Harmonic Generation in Multi-Resonant Plasma Films
We investigate second and third harmonic generation in a slab of material
that displays plasma resonances at the pump and its harmonic frequencies.
Near-zero refractive indices and local field enhancement can deplete the pump
for kW/cm2 incident powers, without resorting to other resonant photonic
mechanisms. We show that low-threshold, highly-efficient nonlinear processes
are possible in the presence of losses and phase-mismatch in structures that
are 104 times shorter than typical KDP or LiNbO3 crystals, for relatively low
irradiance values
Stretched exponential relaxation in a diffusive lattice model
We studied the single dimer dynamics in a lattice diffusive model as a
function of particle density in the high densification regime. The mean square
displacement is found to be subdiffusive both in one and two dimensions. The
spatial dependence of the self part of the van Hove correlation function
displays as function of a single peak and signals a dramatic slow down of
the system for high density. The self intermediate scattering function is
fitted to the Kohlrausch-Williams-Watts law. The exponent extracted
from the fits is density independent while the relaxation time follows a
scaling law with an exponent 2.5.Comment: 5 pages, 3 figures, to be published in Phys. Rev.
Dynamics of Annealed Systems under External Fields: CTRW and the Fractional Fokker-Planck Equations
We consider the linear response of a system modelled by continuous-time
random walks (CTRW) to an external field pulse of rectangular shape. We
calculate the corresponding response function explicitely and show that it
exhibits aging, i.e. that it is not translationally invariant in the
time-domain. This result differs from that of systems which behave according to
fractional Fokker-Planck equations
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