Confluent Crum-Darboux transformations in Dirac Hamiltonians with PT-symmetric Bragg gratings

0474517 - ÚJF 2018 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GJ15-07674Y
Institucionální podpora: RVO:61389005
Klíčová slova: PT-symmetric * quantum mechanics * bound states
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 2.909, rok: 2017

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.
Trvalý link: http://hdl.handle.net/11104/0271559