337 research outputs found
Random walks with thermalizing collisions in bounded regions; physical applications valid from the ballistic to diffusive regimes
The behavior of a spin undergoing Larmor precession in the presence of
fluctuating fields is of interest to workers in many fields. The fluctuating
fields cause frequency shifts and relaxation which are related to their power
spectrum, which can be determined by taking the Fourier transform of the
auto-correlation functions of the field fluctuations. Recently we have shown
how to calculate these correlation functions for all values of mean free path
(ballistic to diffusive motion) in finite bounded regions, using the model of
persistent continuous time random walks (CTRW) for particles subject to
scattering by fixed (frozen) scattering centers so that the speed of the moving
particles is not changed by the collisions. In this work we show how scattering
with energy exchange from an ensemble of scatterers in thermal equilibrium can
be incorporated into the CTRW. We present results for 1,2 and 3 dimensions. The
results agree for all these cases contrary to the previously studied 'frozen'
models. Our results for the velocity autocorrelation function show a long time
tail , which we also obtain from conventional
diffusion theory, with the same power, independent of dimensionality. Our
results are valid for any Markovian scattering kernel as well as any kernel
based on a scattering cross section Comment: 43 pages, 12 figure
Exciton states in monolayer MoSe2 and MoTe2 probed by upconversion spectroscopy
Transitions metal dichalcogenides (TMDs) are direct semiconductors in the
atomic monolayer (ML) limit with fascinating optical and spin-valley
properties. The strong optical absorption of up to 20 % for a single ML is
governed by excitons, electron-hole pairs bound by Coulomb attraction. Excited
exciton states in MoSe and MoTe monolayers have so far been elusive due
to their low oscillator strength and strong inhomogeneous broadening. Here we
show that encapsulation in hexagonal boron nitride results in emission line
width of the A:1 exciton below 1.5 meV and 3 meV in our MoSe and
MoTe monolayer samples, respectively. This allows us to investigate the
excited exciton states by photoluminescence upconversion spectroscopy for both
monolayer materials. The excitation laser is tuned into resonance with the
A:1 transition and we observe emission of excited exciton states up to 200
meV above the laser energy. We demonstrate bias control of the efficiency of
this non-linear optical process. At the origin of upconversion our model
calculations suggest an exciton-exciton (Auger) scattering mechanism specific
to TMD MLs involving an excited conduction band thus generating high energy
excitons with small wave-vectors. The optical transitions are further
investigated by white light reflectivity, photoluminescence excitation and
resonant Raman scattering confirming their origin as excited excitonic states
in monolayer thin semiconductors.Comment: 14 pages, 7 figures, main text and appendi
The hermitian Wilson-Dirac operator in smooth SU(2) instanton backgrounds
We study the spectral flow of the hermitian Wilson-Dirac operator \ham(m)
as a function of in smooth SU(2) instanton backgrounds on the lattice. For
a single instanton background with Dirichlet boundary conditions on \ham(m),
we find a level crossing in the spectral flow of \ham(m), and we find the
shape of the crossing mode at the crossing point to be in good agreement with
the zero mode associated with the single instanton background. With
anti-periodic boundary conditions on \ham(m), we find that the instanton
background in the singular gauge has the correct spectral flow but the one in
regular gauge does not. We also investigate the spectral flows of two instanton
and instanton-anti-instanton backgrounds.Comment: 18 pages, Latex file, 12 postscript figure
Temperature and Emission-Measure Profiles Along Long-Lived Solar Coronal Loops Observed with TRACE
We report an initial study of temperature and emission measure distributions
along four steady loops observed with the Transition Region and Coronal
Explorer (TRACE) at the limb of the Sun. The temperature diagnostic is the
filter ratio of the extreme-ultraviolet 171-angstrom and 195-angstrom
passbands. The emission measure diagnostic is the count rate in the
171-angstrom passband. We find essentially no temperature variation along the
loops. We compare the observed loop structure with theoretical isothermal and
nonisothermal static loop structure.Comment: 10 pages, 3 postscript figures (LaTeX, uses aaspp4.sty). Accepted by
ApJ Letter
Experiments with a Malkus-Lorenz water wheel: Chaos and Synchronization
We describe a simple experimental implementation of the Malkus-Lorenz water
wheel. We demonstrate that both chaotic and periodic behavior is found as wheel
parameters are changed in agreement with predictions from the Lorenz model. We
furthermore show that when the measured angular velocity of our water wheel is
used as an input signal to a computer model implementing the Lorenz equations,
high quality chaos synchronization of the model and the water wheel is
achieved. This indicates that the Lorenz equations provide a good description
of the water wheel dynamics.Comment: 12 pages, 7 figures. The following article has been accepted by the
American Journal of Physics. After it is published, it will be found at
http://scitation.aip.org/ajp
Time-optimal synthesis of unitary transformations in coupled fast and slow qubit system
In this paper, we study time-optimal control problems related to system of
two coupled qubits where the time scales involved in performing unitary
transformations on each qubit are significantly different. In particular, we
address the case where unitary transformations produced by evolutions of the
coupling take much longer time as compared to the time required to produce
unitary transformations on the first qubit but much shorter time as compared to
the time to produce unitary transformations on the second qubit. We present a
canonical decomposition of SU(4) in terms of the subgroup SU(2)xSU(2)xU(1),
which is natural in understanding the time-optimal control problem of such a
coupled qubit system with significantly different time scales. A typical
setting involves dynamics of a coupled electron-nuclear spin system in pulsed
electron paramagnetic resonance experiments at high fields. Using the proposed
canonical decomposition, we give time-optimal control algorithms to synthesize
various unitary transformations of interest in coherent spectroscopy and
quantum information processing.Comment: 8 pages, 3 figure
Quantum Error Correction via Convex Optimization
We show that the problem of designing a quantum information error correcting
procedure can be cast as a bi-convex optimization problem, iterating between
encoding and recovery, each being a semidefinite program. For a given encoding
operator the problem is convex in the recovery operator. For a given method of
recovery, the problem is convex in the encoding scheme. This allows us to
derive new codes that are locally optimal. We present examples of such codes
that can handle errors which are too strong for codes derived by analogy to
classical error correction techniques.Comment: 16 page
Interlayer exciton mediated second harmonic generation in bilayer MoS2
Second harmonic generation (SHG) is a non-linear optical process, where two
photons coherently combine into one photon of twice their energy. Efficient SHG
occurs for crystals with broken inversion symmetry, such as transition metal
dichalcogenide monolayers. Here we show tuning of non-linear optical processes
in an inversion symmetric crystal. This tunability is based on the unique
properties of bilayer MoS2, that shows strong optical oscillator strength for
the intra- but also inter-layer exciton resonances. As we tune the SHG signal
onto these resonances by varying the laser energy, the SHG amplitude is
enhanced by several orders of magnitude. In the resonant case the bilayer SHG
signal reaches amplitudes comparable to the off-resonant signal from a
monolayer. In applied electric fields the interlayer exciton energies can be
tuned due to their in-built electric dipole via the Stark effect. As a result
the interlayer exciton degeneracy is lifted and the bilayer SHG response is
further enhanced by an additional two orders of magnitude, well reproduced by
our model calculations.Comment: main paper and supplemen
Loop Evolution Observed with AIA and Hi-C
In the past decade, the evolution of EUV loops has been used to infer the loop substructure. With the recent launch of High Resolution Coronal Imager (Hi-C), this inference can be validated. In this presentation we discuss the first results of loop analysis comparing AIA and Hi-C data. In the past decade, the evolution of EUV loops has been used to infer the loop substructure. With the recent launch of High Resolution Coronal Imager (Hi-C), this inference can be validated. In this presentation we discuss the first results of loop analysis comparing AIA and Hi-C data
BMQ
BMQ: Boston Medical Quarterly was published from 1950-1966 by the Boston University School of Medicine and the Massachusetts Memorial Hospitals
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