Robust Floquet Topological Phases and Anomalous $π$-Modes in Quasiperiodic Quantum Walks

• URL: http://arxiv.org/abs/2601.21332v1
• Date: Thu, 29 Jan 2026 06:48:38 GMT
• Title: Robust Floquet Topological Phases and Anomalous $π$-Modes in Quasiperiodic Quantum Walks
• Authors: F. Iwase,
• Abstract summary: We uncover the global topological phase diagram of one-dimensional discrete-time quantum walks driven by Fibonacci-modulated coin parameters.<n>We identify robust topological phases defined by a strictly quantized winding number $=-1$ and exponentially localized edge states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We uncover the global topological phase diagram of one-dimensional discrete-time quantum walks driven by Fibonacci-modulated coin parameters. Utilizing the mean chiral displacement (MCD) as dynamical probe, we identify robust topological phases defined by a strictly quantized winding number $ν=-1$ and exponentially localized edge states. Crucially, we discover that these topological edge modes emerges not only at zero energy but also at the quasienergy zone boundary $E=π$, exhibiting identical localization robustness despite the fractal nature of the bulk spectrum. These results demonstrate that Floquet topological protection remains intact amidst quasiperiodic disorder, offering a concrete route to observing exotic non-equilibrium phases in photonic experiments.

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