From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators

Schomerus, Henning (2013) From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators. Philosophical Transactions of the Royal Society of London A, 371 (1989). ISSN 0264-3820

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Abstract

I review how methods from mesoscopic physics can be applied to describe the multiple wave scattering and complex wave dynamics in non-Hermitian PT - symmetric resonators, where an absorbing region is coupled symmetrically to an amplifying region. Scattering theory serves as a convenient tool to classify the symmetries beyond the single-channel case and leads to effective descriptions that can be formulated in the energy domain (via Hamiltonians) and in the time domain (via time evolution operators). These models can then be used to identify the mesoscopic time and energy scales that govern the spectral transition from real to complex eigenvalues. The possible presence of magneto-optical effects (a finite vector potential) in multi-channel systems leads to a variant (termed PTT' symmetry) that imposes the same spectral constraints as PT symmetry. I also provide multi-channel versions of generalized fluxconservation laws.

Item Type:
Journal Article
Journal or Publication Title:
Philosophical Transactions of the Royal Society of London A
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
63556
Deposited By:
Deposited On:
22 Apr 2013 08:39
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2020 03:50