3 papers
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-ph2024
Entanglement bounds for single-excitation energy eigenstates of quantum oscillator systems
Houssam Abdul-Rahman, Robert Sims, Günter Stolz
We provide an analytic method for estimating the entanglement of the non-gaussian energy eigenstates of disordered harmonic oscillator systems. We invoke the explicit formulas of t…
math-ph2024
Slow propagation velocities in Schrödinger operators with large periodic potential
Houssam Abdul-Rahman, Mohammed Darras, Christoph Fischbacher +1
Schrödinger operators with periodic potential have generally been shown to exhibit ballistic transport. In this work, we investigate if the propagation velocity, while positive, c…