Origin of branch points in the spectrum of PT -symmetric periodic potentials

  • Chang C
  • Wang S
  • Hong T
  • 6

    Readers

    Mendeley users who have this article in their library.
  • 4

    Citations

    Citations of this article.

Abstract

There exist multiple branch points in the energy spectrum for some
PT-symmetric periodic potentials, where the real eigenvalues turn into
complex ones. By studying the transmission amplitude for a localized
complex potential, we elucidate the physical origin of the breakdown of
the perturbation method and Born approximation. Most importantly, we
derive an analytic criterion to determine why, when, and where the
bifurcation will occur.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Ching Hao Chang

  • Shi Ming Wang

  • Tzay Ming Hong

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free