Quantum walks and wavepacket dynamics on a lattice with twisted photons

Abstract

The "quantum walk" has emerged recently as a paradigmatic process for the dynamic simulation of complex quantum systems, entanglement production and quantum computation. Hitherto, photonic implementations of quantum walks have mainly been based on multi-path interferometric schemes in real space. Here, we report the experimental realization of a discrete quantum walk taking place in the orbital angular momentum space of light, both for a single photon and for two simultaneous photons. In contrast to previous implementations, the whole process develops in a single light beam, with no need of interferometers; it requires optical resources scaling linearly with the number of steps; and it allows flexible control of input and output superposition states. Exploiting the latter property, we explored the system band structure in momentum space and the associated spin-orbit topological features by simulating the quantum dynamics of Gaussian wavepackets. Our demonstration introduces a novel versatile photonic platform for quantum simulations.

This revised version has a new title; few errors have been corrected and some images have been modified in order to present the data clearly. arXiv admin note: substantial text overlap with arXiv:1403.4857

References in corpus (12)

• Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media
• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Universal computation by quantum walk
• Quantum walks of correlated particles
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Exploring Topological Phases With Quantum Walks
• A 2D Quantum Walk Simulation of Two-Particle Dynamics
• Discrete single-photon quantum walks with tunable decoherence
• Complete experimental toolbox for alignment-free quantum communication
• Optimized quantum random-walk search algorithms
• Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons
• Driven Quantum Walks

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• Enhanced detection techniques of Orbital Angular Momentum states in the classical and quantum regimes
• Bloch-Landau-Zener dynamics induced by a synthetic field in a photonic quantum walk
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