9,780 research outputs found
A Model for the Effectiveness of Aircraft Alerting and Warning Systems
The effectiveness of an alerting system with a single alert was analyzed. The pilot's decision behavior is modeled by the theory of signal detection and therefore accounts for different strengths of cross check information and different pilot criteria. The model includes the effects of the alerting and warning system (CAWS) error rate; the pilot's past experience with the CAWS accuracy; his reliance on the CAWS rather than independent monitoring; missed alerts; and adoption of a minimum error or Neyman-Pearson objective rather than minimum cost objective. It is showwn that for rare events: (1) the expected cost is greatly increased if the pilot ignores the a posteriori information in the existence of an alert; (2) the expected cost is insensitive to CAWS Type 1 errors; and (3) the expected cost is sensitive to CAWS type 2 errors only when the cross check information is ambiguous
Random matrix theory for CPA: Generalization of Wegner's --orbital model
We introduce a generalization of Wegner's -orbital model for the
description of randomly disordered systems by replacing his ensemble of
Gaussian random matrices by an ensemble of randomly rotated matrices. We
calculate the one- and two-particle Green's functions and the conductivity
exactly in the limit . Our solution solves the CPA-equation of the
-Anderson model for arbitrarily distributed disorder. We show how the
Lloyd model is included in our model.Comment: 3 pages, Rev-Te
A low-loss, broadband antenna for efficient photon collection from a coherent spin in diamond
We report the creation of a low-loss, broadband optical antenna giving highly
directed output from a coherent single spin in the solid-state. The device, the
first solid-state realization of a dielectric antenna, is engineered for
individual nitrogen vacancy (NV) electronic spins in diamond. We demonstrate a
directionality close to 10. The photonic structure preserves the high spin
coherence of single crystal diamond (T2>100us). The single photon count rate
approaches a MHz facilitating efficient spin readout. We thus demonstrate a key
enabling technology for quantum applications such as high-sensitivity
magnetometry and long-distance spin entanglement.Comment: 5 pages, 4 figures and supplementary information (5 pages, 8
figures). Comments welcome. Further information under
http://www.quantum-sensing.physik.unibas.c
Rigorous mean field model for CPA: Anderson model with free random variables
A model of a randomly disordered system with site-diagonal random energy
fluctuations is introduced. It is an extension of Wegner's -orbital model to
arbitrary eigenvalue distribution in the electronic level space. The new
feature is that the random energy values are not assumed to be independent at
different sites but free. Freeness of random variables is an analogue of the
concept of independence for non-commuting random operators. A possible
realization is the ensemble of at different lattice-sites randomly rotated
matrices. The one- and two-particle Green functions of the proposed hamiltonian
are calculated exactly. The eigenstates are extended and the conductivity is
nonvanishing everywhere inside the band. The long-range behaviour and the
zero-frequency limit of the two-particle Green function are universal with
respect to the eigenvalue distribution in the electronic level space. The
solutions solve the CPA-equation for the one- and two-particle Green function
of the corresponding Anderson model. Thus our (multi-site) model is a rigorous
mean field model for the (single-site) CPA. We show how the Llyod model is
included in our model and treat various kinds of noises.Comment: 24 pages, 2 diagrams, Rev-Tex. Diagrams are available from the
authors upon reques
Nanoscale sensing based on nitrogen vacancy centers in single crystal diamond and nanodiamonds : achievements and challenges
Powered by the mutual developments in instrumentation, materials and theoretical descriptions,
sensing and imaging capabilities of quantum emitters in solids have significantly increased in the past
two decades. Quantum emitters in solids, whose properties resemble those of atoms and ions, provide
alternative ways to probing natural and artificial nanoscopic systems with minimum disturbance and
ultimate spatial resolution. Among those emerging quantum emitters, the nitrogen vacancy (NV)
color center in diamond is an outstanding example due to its intrinsic properties at room temperature
(highly-luminescent, photo-stable, biocompatible, highly-coherent spin states). This review article
summarizes recent advances and achievements in using NV centers within nano- and single crystal
diamonds in sensing and imaging. We also highlight prevalent challenges and material aspects for
different types of diamond and outline the main parameters to consider when using color centers as
sensors. As a novel sensing resource, we highlight the properties of NV centers as light emitting
electrical dipoles and their coupling to other nanoscale dipoles e.g. graphene
Cumulant Expansions and the Spin-Boson Problem
The dynamics of the dissipative two-level system at zero temperature is
studied using three different cumulant expansion techniques. The relative
merits and drawbacks of each technique are discussed. It is found that a new
technique, the non-crossing cumulant expansion, appears to embody the virtues
of the more standard cumulant methods.Comment: 26 pages, LaTe
Adding and multiplying random matrices: a generalization of Voiculescu's formulae
In this paper, we give an elementary proof of the additivity of the
functional inverses of the resolvents of large random matrices, using
recently developed matrix model techniques. This proof also gives a very
natural generalization of these formulae to the case of measures with an
external field. A similar approach yields a relation of the same type for
multiplication of random matrices.Comment: 11 pages, harvmac. revised x 2: refs and minor comments adde
- âŠ