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Microwave experiments in the realm of fidelity
In this review article, we will demonstrate the power of microwave experiments in the realm of fidelity also known as Loschmidt echoes. As the determination of the fidelity itself is experimentally tedious and error prone, we will introduce the scattering fidelity which under the conditions of chaot...
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Published in: | Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 2016-06, Vol.374 (2069), p.1-19 |
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container_title | Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences |
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description | In this review article, we will demonstrate the power of microwave experiments in the realm of fidelity also known as Loschmidt echoes. As the determination of the fidelity itself is experimentally tedious and error prone, we will introduce the scattering fidelity which under the conditions of chaotic systems and weak coupling approaches the fidelity itself. The main ingredient in fidelity investigations is the type and strength of a perturbation. The perturbations presented here will be both global and local boundary perturbations, as well as local perturber movements but also the change of coupling to the environment. All these perturbations will produce their own fidelity decay as a function of the perturbation strength, which will be discussed in this article. |
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As the determination of the fidelity itself is experimentally tedious and error prone, we will introduce the scattering fidelity which under the conditions of chaotic systems and weak coupling approaches the fidelity itself. The main ingredient in fidelity investigations is the type and strength of a perturbation. The perturbations presented here will be both global and local boundary perturbations, as well as local perturber movements but also the change of coupling to the environment. 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ispartof | Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2016-06, Vol.374 (2069), p.1-19 |
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language | eng |
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source | Royal Society Package S; JSTOR Archival Journals and Primary Sources Collection |
subjects | Amplitude Billiards Eigenvalues Experimental results Frequency ranges Microwaves Radio antennas S matrix theory Waveguides Wavelengths |
title | Microwave experiments in the realm of fidelity |
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