Phase transition to spatial Bloch-like oscillation in squeezed photonic lattices

Abstract

We propose an exactly solvable waveguide lattice incorporating inhomogeneous coupling coefficient. This structure provides a classical analogue to the squeezed number and squeezed coherent intensity distribution in quantum optics where the propagation length plays the role of squeezed amplitude. The intensity pattern is obtained in a closed form for an arbitrary distribution of the initial beam profile. We have also investigated the phase transition to the spatial Bloch-like oscillations by adding a linear gradient to the propagation constant of each waveguides ($\alpha$). Our analytical results show that the Bloch-like oscillations appear above a critical value for the linear gradient of propagation constant ($\alpha >{\alpha }_c$). The phase transition (in the propagation properties of the waveguide) is a result of competition between discrete and Bragg diffraction. Moreover, the light intensity decay algebraically along each waveguide at the critical point while it falls off exponentially below the critical point ($\alpha <{\alpha }_c$).

7 Pages, 7 Figure

Cited by in corpus (6)

• Design of a Photonic Lattice Using Shortcuts to Adiabaticity
• Dynamical Casimir effect in stochastic systems: photon-harvesting through noise
• An introduction to arrays of coupled waveguides
• Multi-Photon Synthetic Lattices in Multi-Port Waveguide Arrays: Synthetic Atoms and Fock Graphs
• Photonic realization of the deformed Dirac equation via the segmented graphene nanoribbons under inhomogeneous strain
• Modeling displaced squeezed number states in waveguide arrays