publication . Preprint . 2015

Zak Phase in Discrete-Time Quantum Walks

Puentes, G.; Santillán, O.;
Open Access English
  • Published: 25 Jun 2015
Abstract
We report on a simple scheme that may present a non-trivial geometric Zak phase ($\Phi_{Zak}$) 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 $|\Phi_{Zak}^{+(-)}-\Phi_{Zak}^{-(+)}|=\pi$ and $|\Phi_{Zak}^{+(-)}-\Phi_{Zak}^{+(-)}|=0$, we argue that this effect can be directly measured.
Subjects
arXiv: Mathematics::Algebraic Geometry
free text keywords: Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics
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