Subdiffusion via Disordered Quantum Walks
arXiv:2007.12526 · doi:10.1103/PhysRevResearch.3.023052
Abstract
Transport phenomena play a crucial role in modern physics and applied sciences. Examples include the dissipation of energy across a large system, the distribution of quantum information in optical networks, and the timely modeling of spreading diseases. In this work, we experimentally prove the feasibility of disordered quantum walks to realize a quantum simulator that is able to model general subdiffusive phenomena, exhibiting a sublinear spreading in space over time. Our experiment simulates such phenomena by means of a finely controlled insertion of various levels of disorder during the evolution of the walker, enabled by the unique flexibility of our setup. This allows us to explore the full range of subdiffusive behaviors, ranging from anomalous Anderson localization to normal diffusion.
arXiv comment10 pages, 7 figures
References in corpus (22)
- Quantum random walks - an introductory overview
- Perfect state transfer in quantum spin networks
- Quantum walks: a comprehensive review
- Dephasing assisted transport: Quantum networks and biomolecules
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Quantum transport simulations in a programmable nanophotonic processor
- Anderson localization of entangled photons in an integrated quantum walk
- Destruction of Anderson localization by a weak nonlinearity
- Anomalous diffusion and Griffiths effects near the many-body localization transition
- Decoherence and disorder in quantum walks: From ballistic spread to localization
- A continuous time random walk model for financial distributions
- Quantum Walks on a Random Environment
- Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks
- Reaction-subdiffusion and reaction-superdiffusion equations for evanescent particles performing continuous time random walks
- Measuring Topological Invariants in Disordered Discrete Time Quantum Walks
- Nonlinear optical Galton board
- Universal Nonlinear Disordered Wave Packet Subdiffusion: 12 Decades
- Probing Measurement Induced Effects in Quantum Walks via Recurrence
- Experimental investigation of superdiffusion via coherent disordered Quantum Walks
- Supersymmetric polarization anomaly in photonic discrete-time quantum walks
- Eigenvalue Measurement of Topologically Protected Edge states in Split-Step Quantum Walks
- Local versus Global Two-Photon Interference in Quantum Networks
Cited by in corpus (11)
- Quantum walks of two correlated photons in a 2D synthetic lattice
- Probing the topological Anderson transition with quantum walks
- Maximal coin-position entanglement generation in a quantum walk for the third step and beyond regardless of the initial state
- Quantum walks on random lattices: Diffusion, localization and the absence of parametric quantum speed-up
- Floquet simulators for topological surface states in isolation
- A robust approach for time-bin encoded photonic quantum information protocols
- Driven Gaussian quantum walks
- Enhancing nonclassical bosonic correlations in a Quantum Walk network through experimental control of disorder
- Discrete-time quantum walk dispersion control through long-range correlations
- Quantum information spreading in a disordered quantum walk
- Robustness of Aharonov-Bohm cages in quantum walks