Landau levels for discrete-time quantum walks in artificial magnetic fields

DOI10.1016/j.physa.2015.08.011zbMath1400.81108arXiv1412.4337OpenAlexW1765812757MaRDI QIDQ1618962

Fabrice Debbasch, Pablo Arnault

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4337

zbMATH Keywords

quantum walksLandau levelsartificial magnetic field

Mathematics Subject Classification ID

Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (11)

Discrete-time quantum walks in random artificial gauge fields ⋮ Quantum walks and gravitational waves ⋮ Action principles for quantum automata and Lorentz invariance of discrete time quantum walks ⋮ Quantum circuits for discrete-time quantum walks with position-dependent coin operator ⋮ A systematic method to building Dirac quantum walks coupled to electromagnetic fields ⋮ Continuous time limit of the DTQW in 2D+1 and plasticity ⋮ Complementarity in quantum walks ⋮ Quantum walks in external gauge fields ⋮ Construction of distinct discrete time scattering quantum walk formulations on the honeycomb lattice ⋮ Quantum walks simulating non-commutative geometry in the Landau problem ⋮ Quantum simulation of quantum relativistic diffusion via quantum walks

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