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Sublattice Signatures of Transitions in a \(\mathscr {PT}\)-Symmetric Dimer Lattice

  • Andrew K. HarterEmail author
  • Yogesh N. Joglekar
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 184)

Abstract

Lattice models with non-hermitian, parity and time-reversal (\(\mathscr {PT}\)) symmetric Hamiltonians, realized most readily in coupled optical systems, have been intensely studied in the past few years. A \(\mathscr {PT}\)-symmetric dimer lattice consists of dimers with intra-dimer coupling \(\nu \), inter-dimer coupling \(\nu '\), and balanced gain and loss potentials \(\pm i\gamma \) within each dimer. This model undergoes two independent transitions, namely a \(\mathscr {PT}\)-breaking transition and a topological transition. We numerically and analytically investigate the signatures of these transitions in the time-evolution of states that are initially localized on the gain-site or the loss-site.

Keywords

Wave Packet Break Phase Dime Model Open Boundary Condition Topological Transition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

The authors thank Avadh Saxena for useful discussions. This work was supported by NSF DMR-1054020.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Indiana University Purdue-University Indianapolis (IUPUI)IndianapolisUSA

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