Non-Hermitian Coherent States for Finite-Dimensional Systems

  title={Non-Hermitian Coherent States for Finite-Dimensional Systems},
  author={Julio Guerrero},
  journal={arXiv: Mathematical Physics},
  • J. Guerrero
  • Published 30 March 2018
  • Physics, Mathematics
  • arXiv: Mathematical Physics
We introduce Gilmore-Perelomov coherent states for non-unitary representations of non-compact groups, and we discuss the main similarities and differences with respect to ordinary unitary Gilmore-Perelomov coherent states. The example of coherent states for the non-unitary finite dimensional representations of SU(1, 1) is considered and they are used to describe the propagation of light in coupled PT-symmetric optical devices. 

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