Exponential Suppression of Transport in Electric Quantum Walks

• URL: http://arxiv.org/abs/2511.15664v1
• Date: Wed, 19 Nov 2025 18:00:18 GMT
• Title: Exponential Suppression of Transport in Electric Quantum Walks
• Abstract summary: We establish exact scalings for the maximal group velocity of translation-invariant quantum walks in periodic electric fields.<n>Our main result shows that the maximal group velocity decays exponentially with the period of the field in the whole parameter range.
• Score: 0.6999740786886536
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 decays exponentially with the period of the field in the whole parameter range, thus affirming a conjecture of arXiv:2302.01869 and at the same time augmenting it to an exact equality. We further demonstrate explicit revival relations and characterize the absolutely continuous spectrum in these models. Our results apply directly also to generalized CMV matrices.

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