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Updated: Jun 28, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Optical Tautochrone and Squeezing Dynamics in Nonuniform Lattices
Ioannis Kiorpelidis1,2, Matthias Heinrich3, Alexander Szameit3
1University of Crete, ITCP-Department of Physics, 71003 Heraklion, Greece.
Abstract:
We present exact analogies between the tautochrone problem of classical mechanics and the squeezed states of quantum optics to optical lattices. Both phenomena emerge in the same physical system, that of waveguide arrays with nonuniform couplings. Extension to two dimensions yields Lissajous-type trajectories and multidirectional tautochrone focusing. Furthermore, we investigate the impact of Kerr nonlinearity and show that it determines the diffraction behavior, namely coherent-state-like or squeezed propagation. These quantum inspired classical lattices highlight the role of the coupling coefficients to beam engineering and light control in complex media.
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