Zak Phase in Discrete-Time Quantum Walks

2015/06/25 by Graciana Puentes, G. Puentes, Osvaldo P. Santillán +3 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.48550/arxiv.1506.08100

Some formulas corrected

openalex publication_date 2015/06/25 · arxiv created 2015/10/08 · arxiv updated 2015/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report on a simple scheme that may present a non-trivial geometric Zak phase (Φ_Zak) structure, which is based on a discrete-time quantum walk architecture. By detecting the Zak phase difference between two trajectories connecting adjacent Dirac points where the quasi-energy gap closes for opposite values of quasi-momentum (k), it is possible to identify geometric invariants. These geometric invariants correspond to |Φ_Zak^+(-)-Φ_Zak^-(+)|=π and |Φ_Zak^+(-)-Φ_Zak^+(-)|=0, we argue that this effect can be directly measured.

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