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:	complex Berry phase PT symmetry gauge smoothing Engineering (General). Civil engineering (General) TA1-2040
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
Externí odkaz:	https://doaj.org/article/48d2fb62b968417d860fbf1560314b25 Zobrazit plný text záznamu View record in DOAJ