4 papers
Singular continuous Cantor spectrum for magnetic quantum walks
C. Cedzich, J. Fillman, T. Geib +1
In this note, we consider a physical system given by a two-dimensional quantum walk in an external magnetic field. In this setup, we show that both the topological structure as wel…
Eigenvalue Measurement of Topologically Protected Edge states in Split-Step Quantum Walks
Thomas Nitsche, Tobias Geib, Christoph Stahl +5
We study topological phenomena of quantum walks by implementing a novel protocol that extends the range of accessible properties to the eigenvalues of the walk operator. To this en…
Quantum walks in external gauge fields
C. Cedzich, T. Geib, A. H. Werner +1
Describing a particle in an external electromagnetic field is a basic task of quantum mechanics. The standard scheme for this is known as "minimal coupling", and consists of replac…
Complete homotopy invariants for translation invariant symmetric quantum walks on a chain
C. Cedzich, T. Geib, C. Stahl +3
We provide a classification of translation invariant one-dimensional quantum walks with respect to continuous deformations preserving unitarity, locality, translation invariance, a…