Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices
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Publication:5963094
DOI10.1016/j.matpur.2015.11.002zbMath1332.81066arXiv1505.07292OpenAlexW2963782978MaRDI QIDQ5963094
Darren C. Ong, Jake Fillman, David Damanik
Publication date: 4 March 2016
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.07292
Sums of independent random variables; random walks (60G50) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (17)
Quantum intermittency for sparse CMV matrices with an application to quantum walks on the half-line ⋮ Characterizations of uniform hyperbolicity and spectra of CMV matrices ⋮ Almost everything about the unitary almost Mathieu operator ⋮ On the Lyapunov exponent for some quasi-periodic cocycles with large parameter ⋮ Exponentially decaying velocity bounds of quantum walks in periodic fields ⋮ Singular continuous Cantor spectrum for magnetic quantum walks ⋮ A condition for purely absolutely continuous spectrum for CMV operators using the density of states ⋮ Spectral properties of continuum Fibonacci Schrödinger operators ⋮ Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices ⋮ Anderson localization for quasi-periodic CMV matrices and quantum walks ⋮ Quantum walks ⋮ Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1--7, 2017 ⋮ Resolvent Methods for Quantum Walks with an Application to a Thue–Morse Quantum Walk ⋮ Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems ⋮ Spectral characteristics of the unitary critical almost-Mathieu operator ⋮ Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas
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