NUMERICAL CALCULATION OF THE COMPLEX BERRY PHASE IN NON-HERMITIAN SYSTEMS
Autor: | Marcel Wagner, Felix Dangel, Holger Cartarius, Jörg Main, Günter Wunner |
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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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