Bloch-Landau-Zener dynamics induced by a synthetic field in a photonic quantum walk

Abstract

Quantum walks are processes that model dynamics in coherent systems. Their experimental implementations proved key to unveil novel phenomena in Floquet topological insulators. Here we realize a photonic quantum walk in the presence of a synthetic gauge field, which mimics the action of an electric field on a charged particle. By tuning the energy gaps between the two quasi-energy bands, we investigate intriguing system dynamics characterized by the interplay between Bloch oscillations and Landau-Zener transitions. When both gaps at quasi-energy values 0 and $\pi$ are vanishingly small, the Floquet dynamics follows a ballistic spreading.

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• Ultra-long quantum walks via spin-orbit photonics
• Bloch oscillations in the magnetoconductance of twisted bilayer graphene
• Quantum direct communication protocol using recurrence in k-cycle quantum walk
• Non-Hermitian Bloch-Zener phase transition
• Large-scale free-space photonic circuits in two dimensions
• Manifestation of the Berry connection in chiral lattice systems
• Wave manipulation via delay-engineered periodic potentials
• Optical realization of one-dimensional generalized split-step quantum walks
• Anderson localization without eigenstates in photonic quantum walks
• Compact and programmable large-scale optical processor in free space