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20152026
most citedLocalization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization

44 citations · 154 across the 14 of their papers we have counts for

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math-ph2025

Exponential Suppression of Transport in Electric Quantum Walks

Houssam Abdul-Rahman, Christopher Cedzich, Günter Stolz +1

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…

math-ph2025

Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schrödinger Operators

Houssam Abdul-Rahman, Jake Fillman, Christoph Fischbacher +1

We investigate periodic Schrödinger operators in arbitrary dimensions in the large coupling regime. Our results establish that both the Lieb--Robinson velocity and the asymptotic v…