PT symmetric Aubry-Andre model

Creative Commons License

Yuce C.

PHYSICS LETTERS A, vol.378, no.30-31, pp.2024-2028, 2014 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 378 Issue: 30-31
  • Publication Date: 2014
  • Doi Number: 10.1016/j.physleta.2014.05.005
  • Journal Name: PHYSICS LETTERS A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2024-2028
  • Keywords: Non-Hermitian Hamiltonian, PT symmetric optical system, ELECTRONS, LIGHT
  • Open Archive Collection: AVESIS Open Access Collection
  • Anadolu University Affiliated: No

Abstract

PT symmetric Aubry-Andre model describes an array of N coupled optical waveguides with position-dependent gain and loss. We show that the reality of the spectrum depends sensitively on the degree of quasi-periodicity for small number of lattice sites. We obtain the Hofstadter butterfly spectrum and discuss the existence of the phase transition from extended to localized states. We show that rapidly changing periodical gain/loss materials almost conserve the total intensity. (C) 2014 Elsevier B.V. All rights reserved.