Microwave experiments in the realm of fidelity

• Published in: Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences Vol. 374; no. 2069; p. 20150158
• Main Author: Kuhl, U.
• Format: Journal Article
• Language: English
• Published: England The Royal Society Publishing 13.06.2016; Royal Society, The
• Subjects: Condensed Matter; Fidelity; Loschmidt Echo; Mesoscopic Systems and Quantum Hall Effect; Microwave Experiments; Physics; Quantum Chaos; Loschmidt echo; fidelity; microwave experiments; quantum chaos
• ISSN: 1364-503X; 1471-2962; 1471-2962
• DOI: 10.1098/rsta.2015.0158

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.