Efficient Evaluation of Optical Quantum Modules via Two-Photon
High-Dimensional Interference
December 28, 2024
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Physics
Quantum Physics
Quantum Physics
The rapid advancement of quantum information technology has increased the
demand for precise testing and calibration of quantum modules, especially in
optical quantum circuits where module reliability directly impacts system
performance. To...
Synthetic Dynamics
December 28, 2024
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Physics
General Physics
General Physics
This work reflects on mechanics as an epistemological framework on the state
of a physical system to regard dynamics as the distribution of mechanical
properties over spacetime coordinates. The resulting distribution is taken to
be the part...
Effective Field Theory Calculation of LIGO-like Compton Scattering and
Experiment Proposal for Graviton Detection
December 28, 2024
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Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Despite the lack of a universally accepted quantum gravity theory, gravitons
are considered the quantum noise in gravitational waves. Wave mediation
requires that gravitons be in a coherence state, with an abundance number of
order $\sim10^...
Optimal error bounds on an exponential wave integrator Fourier spectral
method for fractional nonlinear Schr\"{o}dinger equations with low regularity
potential and nonlinearity
December 28, 2024
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Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
Numerical Analysis
Numerical Analysis
We establish optimal error bounds on an exponential wave integrator (EWI) for
the space fractional nonlinear Schr\"{o}dinger equation (SFNLSE) with low
regularity potential and/or nonlinearity. For the semi-discretization in time,
under the...
Local isometric immersions of pseudospherical surfaces described by a
class of third order differential equations
December 28, 2024
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Mathematics
Physics
Differential Geometry
Mathematical Physics
Mathematical Physics
Differential Geometry
Mathematical Physics
Mathematical Physics
We discuss a specific type of pseudospherical surfaces defined by a class of
third order differential equations, of the form ut−uxxt=λu2uxxx+G(u,ux,uxx), and poses a question about the dependence of the
triples...
Moduli spaces and breather dynamics of analytic solutions in chiral
magnets without Heisenberg exchange interaction
December 28, 2024
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Physics
Mathematics
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Mathematical Physics
Mathematical Physics
We investigate the special case of the chiral magnet with vanishing
Heisenberg exchange energy, whose axisymmetric Skyrmion solution has previously
been found. The dynamical equations of this model look like inviscid fluid
flow, and by inve...
The Hall effects of vortex light in optical materials
December 28, 2024
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Physics
Optics
Optics
For light, its spin can be independent of the spatial distribution of its
wave function, whereas its intrinsic orbital angular momentum does depend on
this distribution. This difference suggests that the spin Hall effect might
differ from t...
On Random Sampling of Diffused Graph Signals with Sparse Inputs on
Vertex Domain
December 28, 2024
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Electrical Engineering and Systems Science
Signal Processing
The sampling of graph signals has recently drawn much attention due to the
wide applications of graph signal processing. While a lot of efficient methods
and interesting results have been reported to the sampling of band-limited or
smooth g...