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

Authors

  • Marcel Wagner Institut für Theoretische Physik 1, Universität Stuttgart
  • Felix Dangel Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart, Germany
  • Holger Cartarius Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart, Germany
  • Jörg Main Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart, Germany
  • Günter Wunner Institut für Theoretische Physik 1, Universität Stuttgart, 70550 Stuttgart, Germany

DOI:

https://doi.org/10.14311/AP.2017.57.0470

Keywords:

complex Berry phase, PT symmetry, gauge smoothing

Abstract

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.

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Published

2017-12-30

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Section

Articles