English

PT-symmetric quantum oscillator in an optical cavity

Quantum Physics 2016-11-23 v1 Optics

Abstract

The quantum harmonic oscillator with parity-time (PT\mathcal{PT}) symmetry, obtained from the ordinary (Hermitian) quantum harmonic oscillator by an imaginary displacement of the spatial coordinate, provides an important and exactly-solvable model to investigate non-Hermitian extension of the Ehrenfest theorem. Here it is shown that transverse light dynamics in an optical resonator with off-axis longitudinal pumping can emulate a PT\mathcal{PT}-symmetric quantum harmonic oscillator, providing an experimentally accessible system to investigate non-Hermitian coherent state propagation.

Keywords

Cite

@article{arxiv.1608.08921,
  title  = {PT-symmetric quantum oscillator in an optical cavity},
  author = {Stefano Longhi},
  journal= {arXiv preprint arXiv:1608.08921},
  year   = {2016}
}
R2 v1 2026-06-22T15:36:45.470Z