20,816 research outputs found
Hydrodynamics of Normal Atomic Gases with Spin-orbit Coupling
Successful realization of spin-orbit coupling in atomic gases by the NIST
scheme opens the prospect of studying the effects of spin-orbit coupling on
many-body physics in an unprecedentedly controllable way. Here we derive the
linearized hydrodynamic equations for the normal atomic gases of the spin-orbit
coupling by the NIST scheme with zero detuning. We show that the hydrodynamics
of the system crucially depends on the momentum susceptibilities which can be
modified by the spin-orbit coupling. We reveal the effects of the spin-orbit
coupling on the sound velocities and the dipole mode frequency of the gases by
applying our formalism to the ideal Fermi gas. We also discuss the
generalization of our results to other situations.Comment: Accepted version by Scientific Reports, 13 pages, 7 figure
Quantum Horizons
Treating macro-black hole as quantum states, and using Brown-York quaselocal
gravitational energy definition and Heisenberg uncertainty principle, we find
out the classical horizon with singularity spreads into a quantum horizon in
which the space-time is non-commutative and the spread range is determined
dynamically. A Quantum Field Theory (QFT) model in curved space with quantum
horizon is constructed. By using it, the black hole entropy and the Hawking
temperature are calculated successfully. The field mode number is
predicted and our quantum horizon model favors to support the Minimal
Super-symmetric Standard Model.Comment: 7 pages, No figures, LaTeX fil
Quantum horizon and thermodynamics of black hole
A semi-classical reasoning leads to the non-commutativity of space and time
coordinates near the horizon of static non-extreme black hole, and renders the
classical horizon spreading to {\it Quantum Horizon} . In terms of the
background metric of the black hole with the {\it Quantum Horizon}, a quantum
field theory in curved space without ultraviolet divergency near the horizon is
formulated. In this formulism, the black hole thermodynamics is reproduced
correctly without both ambiguity and additional hypothesis in the deriving the
hole's Hawking radiations and entropies, and a new interesting prediction on
the number of radiative field modes is provided. Specifically, the main
results are follows: 1, Hawking radiations rightly emerge as an effect of
quantum tunneling through the quantum horizon, and hence the ambiguities due to
going across the singularity on the classical horizon were got rid of; 2, 't
Hooft's brick wall thickness hypothesis and the boundary condition imposed for
the field considered in his brick wall model were got rid of also, and related
physics has been interpreted; 3, The present theory is parameter free. So, the
theory has power to predict the multiplicity of radiative field modes
according to the requirement of normalization of Hawking-Bekenstein entropy. It
has been found that , which is just in good agreement with one in
the Minimal Super-symmetric Standard Model. The studies in this paper represent
an attempt to reveal some physics near the horizon at Planck scale. This paper
serves a brief review on the author's works on this subject.Comment: 20 pages; LaTex file; No figure. To appear in "Progress in GR and QC
Research", Nova Science Pub. In
Remote Preparation of the Two-Particle State
We present a scheme of remote preparation of the two-particle state by using
two Einstein-Podolsky-Rosen pairs or two partial entangled two-particle states
as the quantum channel. The probability of the successful remote state
preparation is obtained.Comment: 4 page
Probabilistic Dense Coding Using Non-Maximally Entangled Three-Particle State
We present a scheme of probabilistic dense coding via a quantum channel of
non-maximally entangled three-particle state. The quantum dense coding will be
succeeded with a certain probability if the sender introduces an auxiliary
particle and performs a collective unitary transformation. Furthermore, the
average information transmitted in this scheme is calculated.Comment: 4 page
Cheeger estimates of Dirichlet-to-Neumann operators on infinite subgraphs of graphs
In this paper, we study the Dirichlet-to-Neumann operators on infinite
subgraphs of graphs. For an infinite graph, we prove Cheeger-type estimates for
the bottom spectrum of the Dirichlet-to-Neumann operator, and the higher order
Cheeger estimates for higher order eigenvalues of the Dirichlet-to-Neumann
operator.Comment: 30 page
The Weyl Integration Model for KAK decomposition of Reductive Lie Group
The Weyl integration model presented by An and Wang can be effectively used
to reduce the integration over -space. In this paper, we construct an
especial Weyl integration model for KAK decomposition of Reductive Lie Group
and obtain an integration formula which implies that the integration of
-integrable function over reductive Lie group can be carried out by
first integrating over each conjugacy class and then integrating over the set
of conjugacy classes.Comment: 10 page
On geometric and algebraic transience for discrete-time Markov chains
General characterizations of ergodic Markov chains have been developed in
considerable detail. In this paper, we study the transience for discrete-time
Markov chains on general state spaces, including the geometric transience and
algebraic transience. Criteria are presented through establishing the drift
condition and considering the first return time. As an application, we give
explicit criteria for the random walk on the half line and the skip-free chain
on nonnegative integers.Comment: 31 page
Quantum entanglement and quantum nonlocality for -photon entangled states
Quantum entanglement and quantum nonlocality of -photon entangled states
and their superpositions are
studied. We indicate that the relative phase affects quantum
nonlocality but not quantum entanglement for the state . We show
that quantum nonlocality can be controlled and manipulated by adjusting the
state parameters of , superposition coefficients, and the
azimuthal angles of the Bell operator. We also show that the violation of the
Bell inequality can reach its maximal value under certain conditions. It is
found that quantum superpositions based on can increase the
amount of entanglement, and give more ways to reach the maximal violation of
the Bell inequality.Comment: 6 pages, 3 figure
Iterative Thresholded Bi-Histogram Equalization for Medical Image Enhancement
Enhancement of human vision to get an insight to information content is of
vital importance. The traditional histogram equalization methods have been
suffering from amplified contrast with the addition of artifacts and a
surprising unnatural visibility of the processed images. In order to overcome
these drawbacks, this paper proposes interative, mean, and multi-threshold
selection criterion with plateau limits, which consist of histogram
segmentation, clipping and transformation modules. The histogram partition
consists of multiple thresholding processes that divide the histogram into two
parts, whereas the clipping process nicely enhances the contrast by having a
check on the rate of enhancement that could be tuned. Histogram equalization to
each segmented sub-histogram provides the output image with preserved
brightness and enhanced contrast. Results of the present study showed that the
proposed method efficiently handles the noise amplification. Further, it also
preserves the brightness by retaining natural look of targeted image.Comment: 8 Pages, 8 Figures, International Journal of Computer Applications
(IJCA
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