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

Alessio D’Errico, Raouf Barboza, Rebeca Tudor, Alexandre Dauphin, Pietro Massignan, Lorenzo Marrucci, Filippo Cardano

2021APL Photonics21 citationsDOIOpen Access PDF

Abstract

Quantum walks are processes that model dynamics in coherent systems. Their experimental implementations proved to be key to unveiling 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 of 0 and π are vanishingly small, the Floquet dynamics follows a ballistic spreading.

Topics & Concepts

Floquet theoryQuantum walkPhysicsRandom walkDynamics (music)Field (mathematics)Action (physics)PhotonicsStatistical physicsQuantum mechanicsQuantumQuantum dynamicsBloch oscillationsElectric fieldEnergy (signal processing)Gauge (firearms)Quantum electrodynamicsGauge theoryClassical mechanicsComplex dynamicsAnderson localizationTopology (electrical circuits)Ballistic conductionQuantum fluctuationPhotonic crystalTopological Materials and PhenomenaQuantum Computing Algorithms and ArchitectureQuantum many-body systems
Bloch–Landau–Zener dynamics induced by a synthetic field in a photonic quantum walk | Litcius