Home > Research > Publications & Outputs > From scattering theory to complex wave dynamics...

Electronic data

  • Preprint2

    Accepted author manuscript, 537 KB, PDF document

Links

Text available via DOI:

View graph of relations

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

Research output: Contribution to journalJournal articlepeer-review

Published

Standard

From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators. / Schomerus, Henning.

In: Philosophical Transactions of the Royal Society of London A, Vol. 371, No. 1989, 20120194, 28.04.2013.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Schomerus, H 2013, 'From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators', Philosophical Transactions of the Royal Society of London A, vol. 371, no. 1989, 20120194. https://doi.org/10.1098/rsta.2012.0194

APA

Schomerus, H. (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), [20120194]. https://doi.org/10.1098/rsta.2012.0194

Vancouver

Schomerus H. From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators. Philosophical Transactions of the Royal Society of London A. 2013 Apr 28;371(1989). 20120194. https://doi.org/10.1098/rsta.2012.0194

Author

Schomerus, Henning. / From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators. In: Philosophical Transactions of the Royal Society of London A. 2013 ; Vol. 371, No. 1989.

Bibtex

@article{b491a24151dd4f70bf6732af60e6abfb,
title = "From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators",
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 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.",
keywords = "PT symmetry, scattering theory, optics, mesoscopics, quantum physics",
author = "Henning Schomerus",
year = "2013",
month = apr,
day = "28",
doi = "10.1098/rsta.2012.0194",
language = "English",
volume = "371",
journal = "Philosophical Transactions of the Royal Society of London A",
issn = "0264-3820",
number = "1989",

}

RIS

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 -