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

Research output: Contribution to journalJournal articlepeer-review

Published
Article number20120194
<mark>Journal publication date</mark>28/04/2013
<mark>Journal</mark>Philosophical Transactions of the Royal Society of London A
Issue number1989
Volume371
Publication StatusPublished
Early online date18/03/13
<mark>Original language</mark>English

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.