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arXiv · 1608.08921

PT-symmetric quantum oscillator in an optical cavity

Stefano Longhi
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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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Stefano Longhi. 2016-08-31. PT-symmetric quantum oscillator in an optical cavity. https://doi.org/10.1209/0295-5075%2F115%2F61001

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