898 research outputs found
Time fractional Schrodinger equation
The Schrodinger equation is considered with the first order time derivative
changed to a Caputo fractional derivative, the time fractional Schrodinger
equation. The resulting Hamiltonian is found to be non-Hermitian and non-local
in time. The resulting wave functions are thus not invariant under time
reversal. The time fractional Schrodinger equation is solved for a free
particle and for a potential well. Probability and the resulting energy levels
are found to increase over time to a limiting value depending on the order of
the time derivative. New identities for the Mittag-Leffler function are also
found and presented in an appendix.Comment: 23 page
Radiation effects in silicon solar cells Quarterly report
Effect of lithium on production and annealing of damage in silico
Radiation effects in silicon solar cells Quarterly progress report, 1 Jul. - 30 Sep. 1970
Defects responsible for degradation in output of silicon solar cells irradiated by space radiatio
Trapping of Rydberg Atoms in Tight Magnetic Microtraps
We explore the possibility to trap Rydberg atoms in tightly confining
magnetic microtraps. The trapping frequencies for Rydberg atoms are expected to
be influenced strongly by magnetic field gradients. We show that there are
regimes where Rydberg atoms can be trapped. Moreover, we show that so-called
magic trapping conditions can be found for certain states of rubidium, where
both Rydberg atoms and ground state atoms have the same trapping frequencies.
Magic trapping is highly beneficial for implementing quantum gate operations
that require long operation times
PMH11 ANTIPSYCHOTIC MEDICATION PATTERNS IN SCHIZOPHRENIA OUTPATIENTS AND INPATIENTS TREATED WITH OLANZAPINE AND HALOPERIDOL IN GERMANY: RESULTS FROM THE GEO OBSERVATIONAL STUDY
Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
We present a method for reading out the spin state of electrons in a quantum
dot that is robust against charge noise and can be used even when the electron
temperature exceeds the energy splitting between the states. The spin states
are first correlated to different charge states using a spin dependence of the
tunnel rates. A subsequent fast measurement of the charge on the dot then
reveals the original spin state. We experimentally demonstrate the method by
performing read-out of the two-electron spin states, achieving a single-shot
visibility of more than 80%. We find very long triplet-to-singlet relaxation
times (up to several milliseconds), with a strong dependence on in-plane
magnetic field.Comment: 4 pages, 4 figure
Towards the topological quantization of classical mechanics
We consider the method of topological quantization for conservative systems
with a finite number of degrees of freedom. Maupertuis' formalism for classical
mechanics provides an appropriate scenario which permit us to adapt the method
of topological quantization, originally formulated for gravitational field
configurations. We show that any conservative system in classical mechanics can
be associated with a principal fiber bundle. As an application of topological
quantization we derive expressions for the topological spectra of some simple
mechanical systems and show that they reproduce the discrete behavior of the
corresponding canonical spectra
Fractional Hamilton formalism within Caputo's derivative
In this paper we develop a fractional Hamiltonian formulation for dynamic
systems defined in terms of fractional Caputo derivatives. Expressions for
fractional canonical momenta and fractional canonical Hamiltonian are given,
and a set of fractional Hamiltonian equations are obtained. Using an example,
it is shown that the canonical fractional Hamiltonian and the fractional
Euler-Lagrange formulations lead to the same set of equations.Comment: 8 page
Effects of Natural Scene Inversion on Visual-evoked Brain Potentials and Pupillary Responses: A Matter of Effortful Processing of Unfamiliar Configurations
The inversion of a picture of a face hampers the accuracy and speed at which observers can perceptually process it. Event-related potentials and pupillary responses, successfully used as biomarkers of face inversion in the past, suggest that the perception of visual features, that are organized in an unfamiliar manner, recruits demanding additional processes. However, it remains unclear whether such inversion effects generalize beyond face stimuli and whether indeed more mental effort is needed to process inverted images. Here we aimed to study the effects of natural scene inversion on visual evoked potentials and pupil dilations. We simultaneously measured responses of 47 human participants to presentations of images showing upright or inverted natural scenes. For inverted scenes, we observed relatively stronger occipito-temporo-parietal N1 peak amplitudes and larger pupil dilations (on top of an initial orienting response) than for upright scenes. This study revealed neural and physiological markers of natural scene inversion that are in line with inversion effects of other stimulus types and demonstrates the robustness and generalizability of the phenomenon that unfamiliar configurations of visual content require increased processing effort
Magnetic-film atom chip with 10 m period lattices of microtraps for quantum information science with Rydberg atoms
We describe the fabrication and construction of a setup for creating lattices
of magnetic microtraps for ultracold atoms on an atom chip. The lattice is
defined by lithographic patterning of a permanent magnetic film. Patterned
magnetic-film atom chips enable a large variety of trapping geometries over a
wide range of length scales. We demonstrate an atom chip with a lattice
constant of 10 m, suitable for experiments in quantum information science
employing the interaction between atoms in highly-excited Rydberg energy
levels. The active trapping region contains lattice regions with square and
hexagonal symmetry, with the two regions joined at an interface. A structure of
macroscopic wires, cut out of a silver foil, was mounted under the atom chip in
order to load ultracold Rb atoms into the microtraps. We demonstrate
loading of atoms into the square and hexagonal lattice sections simultaneously
and show resolved imaging of individual lattice sites. Magnetic-film lattices
on atom chips provide a versatile platform for experiments with ultracold
atoms, in particular for quantum information science and quantum simulation.Comment: 7 pages, 7 figure
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