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PT-symmetric quantum oscillator in an optical cavity

arXiv
Authors: Stefano Longhi

Year

2016

Paper ID

43877

Status

Preprint

Abstract Read

~2 min

Abstract Words

75

Citations

N/A

Abstract

The quantum harmonic oscillator with parity-time $mathcal{PT}$ 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 mathcal{PT}-symmetric quantum harmonic oscillator, providing an experimentally accessible system to investigate non-Hermitian coherent state propagation.

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  • The quantum harmonic oscillator with parity-time mathcalPT symmetry, obtained from the ordinary (Hermitian) quantum harmonic oscillator by an imaginary displacement of the...

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