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math-ph2024
Landscape estimates of the integrated density of states for Jacobi operators on graphs
Laura Shou, Wei Wang, Shiwen Zhang
We show the integrated density of states for a variety of Jacobi operators on graphs, such as the Anderson model and random hopping models on graphs with Gaussian heat kernel bound…
quant-ph2024★ 1 cited
Proof of a Universal Speed Limit on Fast Scrambling in Quantum Systems
Amit Vikram, Laura Shou, Victor Galitski
We prove that the time required for sustained information scrambling in any Hamiltonian quantum system is universally at least logarithmic in the entanglement entropy of scrambled…