Optical Tautochrone and Squeezing Dynamics in Nonuniform Lattices
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.
Fields of Study & Subjects
Nonlinear Photonic Systems
Quantum Mechanics and Non-Hermitian Physics
Mechanical and Optical Resonators
Publication details
- Journal / source
- Physical Review Letters
- Volume
- 136
- Issue
- 23
- Pages
- 233801–233801
- Publication date
- 10 March 2026
- Language
- EN