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Microwave studies of quantum chaotic system
Quantum billiards and quantum graphs are two important models for studying quantum chaotic systems. Two pioneering works found that we can using microwave billiards [1] and microwave networks [2] to simulate quantum billiards and quantum graphs experimentally. For more detail, please read a recent review [3]. My main research interest is performing microwave experiments to (parametrically) study the spectral statistics of quantum chaotic systems. In particular, I am interested in spectral statistical deviations in small quantum graph systems.
[1] H.-J. Stöckmann, and J. Stein, Phys. Rev. Lett. 64, 2215 (1990).
[2] O. Hul, et al, Phys. Rev. E 69, 056205 (2004).
[3] H.-J. Stöckmann, and U. Kuhl, J. Phys. A: Math. Theor. 55 383001 (2022).
Scattering theory in (tunable) chaotic environments
Due to the value of potential applications, many exotic scattering phenomena such as exceptional points [1] and coherent perfect absorption (CPA) [2] have been studied extensively; these phenomena can be fundamentally understood by the poles and zeros of the scattering matrix. One of my research interest is studying poles and zeros of the S-matrix in tunable [3] chaotic reverberation chamber.
[1] J. Doppler, et al, Nature 537, 76 (2016).
[2] Y. D. Chong, et al, Phys. Rev. Lett. 105, 053901 (2010).
[3] N. Kaina, et al, Opt. Express 22, 18881 (2014).
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