4,734 research outputs found
Propagation Phenomena for A Reaction-Advection-Diffusion Competition Model in A Periodic Habitat
This paper is devoted to the study of propagation phenomena for a
Lotka-Volterra reaction-advection-diffusion competition model in a periodic
habitat. We first investigate the global attractivity of a semi-trival steady
state for the periodic initial value problem. Then we establish the existence
of the rightward spreading speed and its coincidence with the minimal wave
speed for spatially periodic rightward traveling waves. We also obtain a set of
sufficient conditions for the rightward spreading speed to be linearly
determinate. Finally, we apply the obtained results to a prototypical
reaction-diffusion model
Traveling waves and spreading speeds for time-space periodic monotone systems
The theory of traveling waves and spreading speeds is developed for
time-space periodic monotone semiflows with monostable structure. By using
traveling waves of the associated Poincar\'e maps in a strong sense, we
establish the existence of time-space periodic traveling waves and spreading
speeds. We then apply these abstract results to a two species competition
reaction-advection-diffusion model. It turns out that the minimal wave speed
exists and coincides with the single spreading speed for such a system no
matter whether the spreading speed is linearly determinate. We also obtain a
set of sufficient conditions for the spreading speed to be linearly
determinate.Comment: arXiv admin note: text overlap with arXiv:1410.459
Improving teleportation fidelity in structured reservoirs
Seeking flexible methods to control quantum teleportation in open systems is
an important task of quantum communication. In this paper, we study how the
super-Ohmic, Ohmic and sub-Ohmic reservoirs affect teleportation of a general
one-qubit state. The results revealed that the structures of the reservoirs
play a decisive role on quality of teleportation. Particularly, the fidelity of
teleportation may be improved by the strong backaction of the non-Markovian
memory effects of the reservoir. The physical mechanism responsible for this
improvement are determined.Comment: 5 pages, 5 figures, Comments are welcome. arXiv admin note: text
overlap with arXiv:1208.1655 by other author
Emergence of Cosmic Space and the Generalized Holographic Equipartition
Recently, a novel idea about our expanding Universe was proposed by T.
Padmanabhan [arXiv:1206.4916]. He suggested that the expansion of our Universe
can be thought of as the emergence of space as cosmic time progresses. The
emergence is governed by the basic relation that the increase rate of Hubble
volume is linearly determined by the difference between the number of degrees
of freedom on the horizon surface and the one in the bulk. In this paper,
following this idea, we generalize the basic relation to derive the Friedmann
equations of an -dimensional Friedmann-Robertson-Walker universe
corresponding to general relativity, Gauss-Bonnet gravity, and Lovelock
gravity.Comment: 8 pages, no figures, published versio
Holographic Josephson Junction in 3+1 dimensions
In arXiv:1101.3326[hep-th], a (2+1)-dimensional holographic Josephson
junction was constructed, and it was shown that the DC Josephson current is
proportional to the sine of the phase difference across the junction. In this
paper, we extend this study to a holographic description for the
(3+1)-dimensional holographic DC Josephson junction. By solving numerically the
coupled differential equations, we also obtain the familiar characteristics of
Josephson junctions.Comment: 8 pages, 4 figure
Measurement-induced nonlocality in the anisotropic Heisenberg chain
Quantum correlations are essential for quantum information processing.
Measurement-induced nonlocality (MIN) which is defined based on the projective
measurement is a good measure of quantum correlation, and is favored for its
potential applications. We investigate here behaviors of the geometric and
entropic MIN in the two-qubit Heisenberg XY chain, and reveal effects of the
anisotropic parameter as well as the external magnetic field on
strength of them. Our results show that both and can serve as
efficient controlling parameters for tuning the MIN in the XY chain.Comment: Four pages, two figure
A new form of self-duality equations with topological term
Based on the U(1) gauge potential decomposition theory and -mapping
theory, the topological inner structure of the self-duality (Bogomol'nyi-type)
equations are studied. The special form of the gauge potential decomposition is
obtained directly from the first of the self-duality equations. Using this
decomposition, the topological inner structure of the Chern-Simons-Higgs (CSH)
vortex is discussed. Furthermore, we obtain a rigorous self-dual equation with
topological term for the first time, in which the topological term has been
ignored by other physicists.Comment: LaTex, 8 pages, no figure
Fermionic zero modes in self-dual vortex background on a torus
We study fermionic zero modes in the self-dual vortex background on an extra
two-dimensional Riemann surface in 5+1 dimensions. Using the generalized
Abelian Higgs model, we obtain the inner topological structure of the self-dual
vortex and establish the exact self-duality equation with topological term.
Then we analyze the Dirac operator on an extra torus and the effective
Lagrangian of four-dimensional fermions with the self-dual vortex background.
Solving the Dirac equation, the fermionic zero modes on a torus with the
self-dual vortex background in two simple cases are obtained.Comment: 11 pages, no figures, published versio
Engineering steady Knill-Laflamme-Milburn state of Rydberg atoms by dissipation
The Knill-Laflamme-Milburn (KLM) states have been proved to be a useful
resource for quantum information processing [Nature 409, 46 (2001)]. For atomic
KLM states, several schemes have been put forward based on the time-dependent
unitary dynamics, but the dissipative generation of these states has not been
reported. This work discusses the possibility for creating different forms of
bipartite KLM states in neutral atom system, where the spontaneous emission of
excited Rydberg states, combined with the Rydberg antiblockade mechanism, is
actively exploited to engineer a steady KLM state from an arbitrary initial
state. The numerical simulation of the master equation signifies that a
fidelity above 99\% is available with the current experimental parameters.Comment: 9 pages, 6 figure
One-step achievement of robust multipartite Greenberger-Horne-Zeilinger state and controlled-phase gate via Rydberg interaction
We present a proposal for generation of a robust tripartite
Greenberger-Horne-Zeilinger state among three-individual neutral Rydberg atoms.
By modulating the relation between two-photon detuning and Rydberg interaction
strength , an effective Raman coupling is obtained between the
hyperfine ground states of three Rb atoms and the
Rydberg states via the third-order perturbation theory. This
method is also capable of implementing a three-qubit controlled-phase gate with
each qubit encoded into the hyperfine ground states and
. As an extension, we generalize our scheme to the case of
multipartite GHZ state and quantum gate in virtue of high-order perturbation
theory.Comment: 6 pages, 5 figure
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