799 research outputs found
Pinhole interference in three-dimensional fuzzy space
We investigate a quantum-to-classical transition which arises naturally
within the fuzzy sphere formalism for three-dimensional non-commutative quantum
mechanics. This transition may be understood as the mechanism of decoherence,
but without requiring an additional external heat bath. We focus on treating a
two-pinhole interference configuration within this formalism, as it provides an
illustrative toy model for which this transition is readily observed and
quantified. Specifically, we demonstrate a suppression of the quantum
interference effects for objects passing through the pinholes with
sufficiently-high energies or numbers of constituent particles.
Our work extends a similar treatment of the double slit experiment by
Pittaway and Scholtz (2021) within the two-dimensional Moyal plane, only it
addresses two key shortcomings that arise in that context. These are, firstly
that the interference pattern in the Moyal plane lacks the expected reflection
symmetry present in the pinhole setup, and secondly that the
quantum-to-classical transition manifested in the Moyal plane occurs only at
unrealistically high velocities and/or particle numbers. Both of these issues
are solved in the fuzzy sphere framework.Comment: 5 figures; submitted to Physical Review
Combining LS-SVM and GP Regression for the Uncertainty Quantification of the EMI of Power Converters Affected by Several Uncertain Parameters
This article deals with the development of a probabilistic surrogate model for the uncertainty quantification of the voltage output spectral envelope of a power converter with several stochastic parameters. The proposed approach relies on the combination of the least-squares support vector machine (LS-SVM) regression with the Gaussian process regression (GPR), but it can suitably be applied to any deterministic regression techniques. As a first step, the LS-SVM regression is used to build an accurate and fast-to-evaluate deterministic model of the system responses starting from a limited set of training samples provided by the full-computational model. Then the GPR is used to provide a probabilistic model of the regression error. The resulting LS-SVM+GPR probabilistic model not only approximates the system responses for any configuration of its input parameters, but also provides an estimation of its prediction uncertainty, such as the confidence intervals (CIs). The above technique has been applied to qualify the uncertainty of the spectral envelope of the output voltage of a buck converter with 17 independent Gaussian parameters. The feasibility and the accuracy of the resulting model have been investigated by comparing its predictions and CI with the ones obtained by five different surrogate models based on state-of-the-art techniques and by the reference Monte Carlo results
Search for Light Dark Matter Interactions Enhanced by the Migdal Effect or Bremsstrahlung in XENON1T
- …