Dynamical localization of quantum walks in random environments

DOI10.1007/s10955-010-0047-0zbMath1296.82052arXiv1004.4130OpenAlexW2001258215MaRDI QIDQ643714

Alain Joye, Marco Merkli

Publication date: 2 November 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4130

zbMATH Keywords

random environmentLyapunov exponentquantum walkfractional moment estimatesAizenman-Molchanov methoddynamical Anderson localization

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

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