95 citations · 528 across the 27 of their papers we have counts for
6 papers · 1 filter
Exponential Suppression of Transport in Electric Quantum Walks
Houssam Abdul-Rahman, Christopher Cedzich, Günter Stolz +1
We establish exact scalings for the maximal group velocity of translation-invariant quantum walks in periodic electric fields. Our main result shows that the maximal group velocity…
Twenty dry Martinis for the Unitary Almost Mathieu Operator
Christopher Cedzich, Long Li
We solve the Dry Ten Martini Problem for the unitary almost Mathieu operator with Diophantine frequencies in the non-critical regime.
Absolutely continuous edge spectrum of topological insulators with an odd time-reversal symmetry
Alex Bols, Christopher Cedzich
We show that non-trivial two-dimensional topological insulators protected by an odd time-reversal symmetry have absolutely continuous edge spectrum. The proof employs a time-revers…
Chiral Floquet systems and quantum walks at half period
C. Cedzich, T. Geib, A. H. Werner +1
We classify chiral symmetric periodically driven quantum systems on a one-dimensional lattice. The driving process is local, can be continuous or discrete in time, and we assume a…
Anderson localization for electric quantum walks and skew-shift CMV matrices
C. Cedzich, A. H. Werner
We consider the spectral and dynamical properties of one-dimensional quantum walks placed into homogenous electric fields according to a discrete version of the minimal coupling pr…
Quantum walks: Schur functions meet symmetry protected topological phases
C. Cedzich, T. Geib, F. A. Grünbaum +3
This paper uncovers and exploits a link between a central object in harmonic analysis, the so-called Schur functions, and the very hot topic of symmetry protected topological phase…