80,558 research outputs found
Entangling two atoms in spatially separated cavities through both photon emission and absorption processes
We consider a system consisting of a -type atom and a V-type atom,
which are individually trapped in two spatially separated cavities that are
connected by an optical fibre. We show that an extremely entangled state of the
two atoms can be deterministically generated through both photon emission of
the -type atom and photon absorption of the V-type atom in an ideal
situation. The influence of various decoherence processes such as spontaneous
emission and photon loss on the fidelity of the entangled state is also
investigated. We find that the effect of photon leakage out of the fibre on the
fidelity can be greatly diminished in some special cases. As regards the effect
of spontaneous emission and photon loss from the cavities, we find that the
present scheme with a fidelity higher than 0.98 may be realized under current
experiment conditions.Comment: 12 pages, 4 figure
Properties of solutions of stochastic differential equations driven by the G-Brownian motion
In this paper, we study the differentiability of solutions of stochastic
differential equations driven by the -Brownian motion with respect to the
initial data and the parameter. In addition, the stability of solutions of
stochastic differential equations driven by the -Brownian motion is
obtained
A Novel Stealthy Target Detection Based on Stratospheric Balloon-borne Positional Instability due to Random Wind
A novel detection for stealthy target model F-117A with a higher aspect vision is introduced by using Stratospheric Balloon-borne Bistatic system. The potential problem of proposed scheme is platform instability impacted on the balloon by external wind force. The flight control system is studied in detail under typical random process, which is defined by Dryden turbulence spectrum. To accurately detect the stealthy target model, a real Radar Cross Section (RCS) based on physical optics (PO) formulation is applied. The sensitivity of the proposed scheme has been improved due to increasing PO – scattering field of stealthy model with higher aspect angle comparing to the conventional ground -based system. Simulations demonstrate that the proposed scheme gives much higher location accuracy and reduces location errors
Mixing Rates of Random Walks with Little Backtracking
Many regular graphs admit a natural partition of their edge set into cliques
of the same order such that each vertex is contained in the same number of
cliques. In this paper, we study the mixing rate of certain random walks on
such graphs and we generalize previous results of Alon, Benjamini, Lubetzky and
Sodin regarding the mixing rates of non-backtracking random walks on regular
graphs.Comment: 31 pages; to appear in the CRM Proceedings Series, published by the
American Mathematical Society as part of the Contemporary Mathematics Serie
A theory of evolving natural constants embracing Einstein's theory of general relativity and Dirac's large number hypothesis
Taking a hint from Dirac's large number hypothesis, we note the existence of
cosmic combined conservation laws that work to cosmologically long time. We
thus modify or generalize Einstein's theory of general relativity with fixed
gravitation constant to a theory for varying , which can be applied to
cosmology without inconsistency, where a tensor arising from the variation of G
takes the place of the cosmological constant term. We then develop on this
basis a systematic theory of evolving natural constants by finding out their cosmic combined counterparts involving factors of
appropriate powers of that remain truly constant to cosmologically long
time. As varies so little in recent centuries, so we take these natural
constants to be constant.Comment: 29 pages, revtex
Fay-like identities of the Toda Lattice Hierarchy and its dispersionless limit
In this paper, we derive the Fay-like identities of tau function for the Toda
lattice hierarchy from the bilinear identity. We prove that the Fay-like
identities are equivalent to the hierarchy. We also show that the
dispersionless limit of the Fay-like identities are the dispersionless Hirota
equations of the dispersionless Toda hierarchy.Comment: 20 page
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