| Issue |
EPL
Volume 115, Number 6, September 2016
|
|
|---|---|---|
| Article Number | 61001 | |
| Number of page(s) | 7 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/115/61001 | |
| Published online | 27 October 2016 | |
-symmetric quantum oscillator in an optical cavity
Dipartimento di Fisica, Politecnico di Milano - Piazza L. da Vinci 32, I-20133 Milano, Italy and Istituto di Fotonica e Nanotecnologie del CNR, Sezione di Milano - Piazza L. da Vinci 32, I-20133 Milano, Italy
Received: 26 August 2016
Accepted: 10 October 2016
The quantum harmonic oscillator with parity-time 
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 -symmetric quantum harmonic oscillator, providing an experimentally accessible system to investigate non-Hermitian coherent state propagation.
PACS: 11.30.Er – Charge conjugation, parity, time reversal, and other discrete symmetries / 42.60.Da – Resonators, cavities, amplifiers, arrays, and rings / 03.65.Ge – Solutions of wave equations: bound states
© EPLA, 2016
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