Non-Hermitian coherent states for finite-dimensional systems
Mathematical Physics
2018-04-03 v1 math.MP
Optics
Quantum Physics
Abstract
We introduce Gilmore-Perelomov coherent states for non-unitary representations of non-compact groups, and 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 is considered and they are used to describe the propagation of light in coupled PT-symmetric optical devices.
Keywords
Cite
@article{arxiv.1804.00051,
title = {Non-Hermitian coherent states for finite-dimensional systems},
author = {Julio Guerrero},
journal= {arXiv preprint arXiv:1804.00051},
year = {2018}
}
Comments
16 pages, 2 figures, to appear as Chapter 10 of "Coherent States and Their Applications", Springer Proceedings in Physics 205, J.-P. Antoine et al. (eds.)