2,287 research outputs found
An integral representation for the Fibbonacci numbers and its generalization
FĂsica TeĂłrica, AtĂłmica y Ă“ptic
Birman-Wenzl-Murakami Algebra and the Topological Basis
In this paper, we use entangled states to construct 9x9-matrix
representations of Temperley-Lieb algebra (TLA), then a family of 9x9-matrix
representations of Birman-Wenzl-Murakami algebra (BWMA) have been presented.
Based on which, three topological basis states have been found. And we apply
topological basis states to recast nine-dimensional BWMA into its
three-dimensional counterpart. Finally, we find the topological basis states
are spin singlet states in special case.Comment: 11pages, 1 figur
Adiabatic quantum pump in the presence of external ac voltages
We investigate a quantum pump which in addition to its dynamic pump
parameters is subject to oscillating external potentials applied to the
contacts of the sample. Of interest is the rectification of the ac currents
flowing through the mesoscopic scatterer and their interplay with the quantum
pump effect. We calculate the adiabatic dc current arising under the
simultaneous action of both the quantum pump effect and classical
rectification. In addition to two known terms we find a third novel
contribution which arises from the interference of the ac currents generated by
the external potentials and the ac currents generated by the pump. The
interference contribution renormalizes both the quantum pump effect and the ac
rectification effect. Analysis of this interference effect requires a
calculation of the Floquet scattering matrix beyond the adiabatic approximation
based on the frozen scattering matrix alone. The results permit us to find the
instantaneous current. In addition to the current generated by the oscillating
potentials, and the ac current due to the variation of the charge of the frozen
scatterer, there is a third contribution which represents the ac currents
generated by an oscillating scatterer. We argue that the resulting pump effect
can be viewed as a quantum rectification of the instantaneous ac currents
generated by the oscillating scatterer. These instantaneous currents are an
intrinsic property of a nonstationary scattering process.Comment: 11 pages, 1 figur
Management system for IPv6-enabled wireless sensor networks
“Copyright © [2011] IEEE. Reprinted from Internet of Things (iThings/CPSCom), 2011 International Conference on and 4th International Conference on Cyber, Physical and Social Computing. ISBN 978-1-4577-1976-9
This material is posted here with permission of the IEEE. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to [email protected]. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.”It is expected that in the near future smart objects will
have an Internet connection – this is the Internet of Things vision.
Most of these objects compatible with the IEEE 802.15.4
standard are characterized by small size, power constrains, and
small computing resources. Connecting such devices to the
Internet is considered simultaneously the biggest challenge and a
great opportunity for the Internet growth. To achieve the
Internet of things vision is necessary to support IPv6 protocol
suite in all objects. Supporting IPv6 simplifies, simultaneously,
the integration of these objects in the Internet and their
management. Actually, despite of the relevance, there are no
existing standard solutions to manage smart object networks.
Managing this type of networks poses a unique challenge because
smart object networks may be comprised of thousands of nodes,
are highly dynamic and prone to failures. This paper presents a
complete solution to manage smart object networks based on
SNMPv1 protocol. The paper also presents the design and
deployment of a laboratory testbed
Scattering Theory of Dynamic Electrical Transport
We have developed a scattering matrix approach to coherent transport through
an adiabatically driven conductor based on photon-assisted processes. To
describe the energy exchange with the pumping fields we expand the Floquet
scattering matrix up to linear order in driving frequency.Comment: Proceedings QMath9, September 12th-16th, 2004, Giens, Franc
Optimal quantum pump in the presence of a superconducting lead
We investigate the parametric pumping of a hybrid structure consisting of a
normal quantum dot, a normal lead and a superconducting lead. Using the time
dependent scattering matrix theory, we have derived a general expression for
the pumped electric current and heat current. We have also derived the
relationship among the instantaneous pumped heat current, electric current, and
shot noise. This gives a lower bound for the pumped heat current in the hybrid
system similar to that of the normal case obtained by Avron et al
Some Universal Properties for Restricted Trace Gaussian Orthogonal, Unitary and Symplectic Ensembles
Consider fixed and bounded trace Gaussian orthogonal, unitary and symplectic
ensembles, closely related to Gaussian ensembles without any constraint. For
three restricted trace Gaussian ensembles, we prove universal limits of
correlation functions at zero and at the edge of the spectrum edge. In
addition, by using the universal result in the bulk for fixed trace Gaussian
unitary ensemble, which has been obtained by Gtze and Gordin, we also
prove universal limits of correlation functions for bounded trace Gaussian
unitary ensemble.Comment: 19pages,bounded trace Gaussian ensembles are adde
Motion of rotatory molecular motor and chemical reaction rate
We examine the dependence of the physical quantities of the rotatory
molecular motor, such as the rotation velocity and the proton translocation
rate, on the chemical reaction rate using the model based only on diffusion
process. A peculiar behavior of proton translocation is found and the energy
transduction efficiency of the motor protein is enhanced by this behavior. We
give a natural explanation that this behavior is universal when certain
inequalities between chemical reaction rates hold. That may give a clue to
examine whether the motion of the molecular motor is dominated by diffusion
process or not.Comment: 12 pages, 8 figure
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