0474517 - ÚJF 2018 RIV US eng J - Journal Article
Correa, F. - Jakubský, Vít
Confluent Crum-Darboux transformations in Dirac Hamiltonians with PT-symmetric Bragg gratings.
Physical Review A. Roč. 95, č. 3 (2017), č. článku 033807. ISSN 2469-9926. E-ISSN 2469-9934
R&D Projects: GA ČR(CZ) GJ15-07674Y
Institutional support: RVO:61389005
Keywords : PT-symmetric * quantum mechanics * bound states
OECD category: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impact factor: 2.909, year: 2017 ; AIS: 0.899, rok: 2017
DOI: https://doi.org/10.1103/PhysRevA.95.033807

We consider optical systems where propagation of light can be described by a Dirac-like equation with PT-symmetric Hamiltonian. In order to construct exactly solvable configurations, we extend the confluent CrumDarboux transformation for the one-dimensional Dirac equation. The properties of the associated intertwining operators are discussed and the explicit form for higher-order transformations is presented. We utilize the results to derive a multiparametric class of exactly solvable systems where the balanced gain and loss represented by the PT-symmetric refractive index can imply localization of the electric field in the material.
Permanent Link: http://hdl.handle.net/11104/0271559