2,945 research outputs found
Electroreflectance spectroscopy in self-assembled quantum dots: lens symmetry
Modulated electroreflectance spectroscopy of semiconductor
self-assembled quantum dots is investigated. The structure is modeled as dots
with lens shape geometry and circular cross section. A microscopic description
of the electroreflectance spectrum and optical response in terms of an external
electric field () and lens geometry have been considered. The field
and lens symmetry dependence of all experimental parameters involved in the
spectrum have been considered. Using the effective mass formalism
the energies and the electronic states as a function of and dot
parameters are calculated. Also, in the framework of the strongly confined
regime general expressions for the excitonic binding energies are reported.
Optical selection rules are derived in the cases of the light wave vector
perpendicular and parallel to . Detailed calculation of the Seraphin
coefficients and electroreflectance spectrum are performed for the InAs and
CdSe nanostructures. Calculations show good agreement with measurements
recently performed on CdSe/ZnSe when statistical distribution on size is
considered, explaining the main observed characteristic in the
electroreflectance spectra
Dielectric susceptibility of the Coulomb-glass
We derive a microscopic expression for the dielectric susceptibility
of a Coulomb glass, which corresponds to the definition used in classical
electrodynamics, the derivative of the polarization with respect to the
electric field. The fluctuation-dissipation theorem tells us that is a
function of the thermal fluctuations of the dipole moment of the system. We
calculate numerically for three-dimensional Coulomb glasses as a
function of temperature and frequency
The Transition State in a Noisy Environment
Transition State Theory overestimates reaction rates in solution because
conventional dividing surfaces between reagents and products are crossed many
times by the same reactive trajectory. We describe a recipe for constructing a
time-dependent dividing surface free of such recrossings in the presence of
noise. The no-recrossing limit of Transition State Theory thus becomes
generally available for the description of reactions in a fluctuating
environment
Heritability and Correlation Estimates of Carcass Data from Angus-Sired Steers
Carcass data including Warner-Bratzler shear force, marbling score, hot carcass weight, 12-13th rib fat, and ribeye area from 589 Angus-sired steers in the National Cattlemen’s Beef Association Carcass Merit Project were analyzed to estimate heritabilities and genetic correlations. Genetic parameters were estimated using the sire/maternal-grandsire model with the relationship matrix. The heritabilities for tenderness, marbling, hot carcass weight, ribeye area and rib fat were .25, .29, .79, .59, and .07, respectively
Non-Markovian Configurational Diffusion and Reaction Coordinates for Protein Folding
The non-Markovian nature of polymer motions is accounted for in folding
kinetics, using frequency-dependent friction. Folding, like many other problems
in the physics of disordered systems, involves barrier crossing on a correlated
energy landscape. A variational transition state theory (VTST) that reduces to
the usual Bryngelson-Wolynes Kramers approach when the non-Markovian aspects
are neglected is used to obtain the rate, without making any assumptions
regarding the size of the barrier, or the memory time of the friction. The
transformation to collective variables dependent on the dynamics of the system
allows the theory to address the controversial issue of what are ``good''
reaction coordinates for folding.Comment: 9 pages RevTeX, 3 eps-figures included, submitted to PR
Semiclassical time evolution of the density matrix and tunneling
The time dependent density matrix of a system with potential barrier is
studied using path integrals. The characterization of the initial state, which
is assumed to be restricted to one side of the barrier, and the time evolution
of the density matrix lead to a three-fold path integral which is evaluated in
the semiclassical limit. The semiclassical trajectories are found to move in
the complex coordinate plane and barrier penetration only arises due to
fluctuations. Both the form of the semiclassical paths and the relevant
fluctuations change significantly as a function of temperature. The
semiclassical analysis leads to a detailed picture of barrier penetration in
the real time domain and the changeover from thermal activation to quantum
tunneling. Deep tunneling is associated with quasi-zero modes in the
fluctuation spectrum about the semiclassical orbits in the long time limit. The
connection between this real time description of tunneling and the standard
imaginary time instanton approach is established. Specific results are given
for a double well potential and an Eckart barrier.Comment: 27 pages, 8 figures, to be published in Phys. Rev.
Geometrical Models of the Phase Space Structures Governing Reaction Dynamics
Hamiltonian dynamical systems possessing equilibria of stability type display \emph{reaction-type
dynamics} for energies close to the energy of such equilibria; entrance and
exit from certain regions of the phase space is only possible via narrow
\emph{bottlenecks} created by the influence of the equilibrium points. In this
paper we provide a thorough pedagogical description of the phase space
structures that are responsible for controlling transport in these problems. Of
central importance is the existence of a \emph{Normally Hyperbolic Invariant
Manifold (NHIM)}, whose \emph{stable and unstable manifolds} have sufficient
dimensionality to act as separatrices, partitioning energy surfaces into
regions of qualitatively distinct behavior. This NHIM forms the natural
(dynamical) equator of a (spherical) \emph{dividing surface} which locally
divides an energy surface into two components (`reactants' and `products'), one
on either side of the bottleneck. This dividing surface has all the desired
properties sought for in \emph{transition state theory} where reaction rates
are computed from the flux through a dividing surface. In fact, the dividing
surface that we construct is crossed exactly once by reactive trajectories, and
not crossed by nonreactive trajectories, and related to these properties,
minimizes the flux upon variation of the dividing surface.
We discuss three presentations of the energy surface and the phase space
structures contained in it for 2-degree-of-freedom (DoF) systems in the
threedimensional space , and two schematic models which capture many of
the essential features of the dynamics for -DoF systems. In addition, we
elucidate the structure of the NHIM.Comment: 44 pages, 38 figures, PDFLaTe
Coherent State Path Integrals in the Weyl Representation
We construct a representation of the coherent state path integral using the
Weyl symbol of the Hamiltonian operator. This representation is very different
from the usual path integral forms suggested by Klauder and Skagerstan in
\cite{Klau85}, which involve the normal or the antinormal ordering of the
Hamiltonian. These different representations, although equivalent quantum
mechanically, lead to different semiclassical limits. We show that the
semiclassical limit of the coherent state propagator in Weyl representation is
involves classical trajectories that are independent on the coherent states
width. This propagator is also free from the phase corrections found in
\cite{Bar01} for the two Klauder forms and provides an explicit connection
between the Wigner and the Husimi representations of the evolution operator.Comment: 23 page
Quantum reflection of rare gas atoms and molecules from a grating
Quantum reflection is a universal property of atoms and molecules when
scattered from surfaces in ultracold collisions. Recent experimental work has
documented the quantum reflection and diffraction of He atoms, dimers, trimers
and Neon atoms when reflected from a grating. Conditions for the observation of
emerging beam resonances have been discussed and measured. In this paper, we
provide a theoretical simulation of the quantum reflection in these cases from
a grating. We confirm, as expected the universal dependence on the incident de
Broglie wavelength only of the threshold angles for the observation of emerging
beam resonances. However, the angular dependence of the reflection
efficiencies, that is the ratio of scattered intensity into specific
diffraction channels relative to the total intensity is found to be dependent
on the specifics of the incident particle. The dependence of the reflection
efficiency on the identity of the particle is intimately related to the fact
that the incident energy dependence of quantum reflection depends on the
details of the particle surface interaction.Comment: 18 pages, 5 figures, 2 table
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