4,603 research outputs found
Quantum Fuel with Multilevel Atomic Coherence for Ultrahigh Specific Work in a Photonic Carnot Engine
We investigate scaling of work and efficiency of a photonic Carnot engine
with the number of quantum coherent resources. Specifically, we consider a
generalization of the "phaseonium fuel" for the photonic Carnot engine, which
was first introduced as a three-level atom with two lower states in a quantum
coherent superposition by [M. O. Scully, M. Suhail Zubairy, G. S. Agarwal, and
H. Walther, Science {\bf 299}, 862 (2003)], to the case of level atoms
with coherent lower levels. We take into account atomic relaxation and
dephasing as well as the cavity loss and derive a coarse grained master
equation to evaluate the work and efficiency, analytically. Analytical results
are verified by microscopic numerical examination of the thermalization
dynamics. We find that efficiency and work scale quadratically with the number
of quantum coherent levels. Quantum coherence boost to the specific energy
(work output per unit mass of the resource) is a profound fundamental
difference of quantum fuel from classical resources. We consider typical modern
resonator set ups and conclude that multilevel phaseonium fuel can be utilized
to overcome the decoherence in available systems. Preparation of the atomic
coherences and the associated cost of coherence are analyzed and the engine
operation within the bounds of the second law is verified. Our results bring
the photonic Carnot engines much closer to the capabilities of current
resonator technologies.Comment: 15 pages, 8 figure
Dynamics for holographic codes
We describe how to introduce dynamics for the holographic states and codes
introduced by Pastawski, Yoshida, Harlow and Preskill. This task requires the
definition of a continuous limit of the kinematical Hilbert space which we
argue may be achieved via the semicontinuous limit of Jones. Dynamics is then
introduced by building a unitary representation of a group known as Thompson's
group T, which is closely related to the conformal group in 1+1 dimensions. The
bulk Hilbert space is realised as a special subspace of the semicontinuous
limit Hilbert space spanned by a class of distinguished states which can be
assigned a discrete bulk geometry. The analogue of the group of large bulk
diffeomorphisms is given by a unitary representation of the Ptolemy group Pt,
on the bulk Hilbert space thus realising a toy model of the AdS/CFT
correspondence which we call the Pt/T correspondence.Comment: 40 pages (revised version submitted to journal). See video of related
talk: https://www.youtube.com/watch?v=xc2KIa2LDF
BAYESIAN ANALYSIS OF THE COMPOUND COLLECTIVE MODEL; THE VARIANCE PREMIUM PRINCIPLE WITH EXPONENTIAL POISSON AND GAMMA-GAMMA DISTRIBUTIONS
The distribution of the aggregate claim size is the considerable importance in insurance theory since, for example, it is needed as an input in premium calculation principles and reserve calculation which plays an important paper in ruin theory. In this paper a Bayesian study for the collective risk model by incorporating a prior distribution for both, the parameter of the claim number distribution and the parameter of the claim size distribution is made and applied to the variance premium principle. Later a sensitivity study is to carry out on both parameters using Bayesian global robustness. Despite the complicated form of the collective risk model it is shown how the robustness study can be treated in an easy way. We illustrate the results obtained with numerical examples.Bayesian Robustness, Contamination Class, Variance Principle.
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