NUMERICAL CALCULATION OF THE COMPLEX BERRY PHASE IN NON-HERMITIAN SYSTEMS

Autor: Marcel Wagner, Felix Dangel, Holger Cartarius, Jörg Main, Günter Wunner
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Acta Polytechnica, Vol 57, Iss 6, Pp 470-476 (2017)
Druh dokumentu: article
ISSN: 1210-2709
1805-2363
DOI: 10.14311/AP.2017.57.0470
Popis: We numerically investigate topological phases of periodic lattice systems in tight-binding description under the influence of dissipation. The effects of dissipation are effectively described by PT-symmetric potentials. In this framework we develop a general numerical gauge smoothing procedure to calculate complex Berry phases from the biorthogonal basis of the system's non-Hermitian Hamiltonian. Further, we apply this method to a one-dimensional PT-symmetric lattice system and verify our numerical results by an analytical calculation.
Databáze: Directory of Open Access Journals
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