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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
AU - Schomerus, Henning
PY - 2013/4/28
Y1 - 2013/4/28
N2 - 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 formulatedin 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.
AB - 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 formulatedin 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.
KW - PT symmetry
KW - scattering theory
KW - optics
KW - mesoscopics
KW - quantum physics
U2 - 10.1098/rsta.2012.0194
DO - 10.1098/rsta.2012.0194
M3 - Journal article
VL - 371
JO - Philosophical Transactions of the Royal Society of London A
JF - Philosophical Transactions of the Royal Society of London A
SN - 0264-3820
IS - 1989
M1 - 20120194
ER -