Experimental demonstration of chaotic scattering of microwaves

Abstract

Reflection of microwaves from a cavity is measured in a frequency domain where the underlying classical chaotic scattering leaves a clear mark on the wave dynamics. We check the hypothesis that the fluctuations of the S matrix can be described in terms of parameters characterizing the chaotic classical scattering. Absorption of energy in the cavity walls is shown to significantly affect the results, and is linked to time-domain properties of the scattering in a general way. We also show that features whose origin is entirely due to wave dynamics (e.g., the enhancement of the Wigner time delay due to timereversal symmetry) coexist with other features which characterize the underlying classical dynamics.

First Experimental Evidence for Quantum Echoes in Scattering Systems

“…billiards connected to wave guides [12,13,14,15,16] have been studied. In the latter case the wave guides make these systems rather complicated.…”

Analyzing symmetry breaking within a chaotic quantum system via Bayesian inference

“…This is illustrated on Fig. 6 for the coupling (5,3). In the case of coupling (0,8) -which is expected to show 2 GOE behaviorthe posterior distribution of Λ is the monotonically decreasing function of Fig.…”

“…They have been studied extensively, see the review article [3]. Quantum mechanical billiards can be simulated by flat microwave resonators [4][5][6][7]. One class of these "quantum" billiards are the Bunimovich stadium billiards [8] experimentally investigated in Refs.…”

Nonperiodic echoes from mushroom billiard hats

“…In physics they have acquired increasing importance as they are seen to emulate properties of systems as different as quantum dots [2] or planetary rings [3]. Particularly quantum or wave realizations of such objects have become popular, since flat microwave cavities, socalled microwave billiards, are used by experimentalists at different laboratories [4,5,6,7,8,9,10], and these experiments mimic some properties of mesoscopic devices. From a mathematical point of view one of the advantages of billiards is that, in many instances, chaotic properties can be proven for cases of complete chaos [1,11,12,13] and more recently even for mixed systems [14,15].…”