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math-ph2024★ 3 cited
Enhanced Lieb-Robinson bounds for commuting long-range interactions
Marius Lemm, Tom Wessel
Recent works have revealed the intricate effect of long-range interactions on information transport in quantum many-body systems: In spatial dimensions, interactions decaying a…
math-ph2024★ 5 cited
On the critical finite-size gap scaling for frustration-free Hamiltonians
Marius Lemm, Angelo Lucia
We prove that the critical finite-size gap scaling for frustration-free Hamiltonians is of inverse-square type. The result covers general graphs embedded in and gener…
math-ph2024
Symmetry-enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians
Tomotaka Kuwahara, Marius Lemm
Several recent works have derived Lieb-Robinson bounds (LRBs) for Bose-Hubbard-type Hamiltonians. For certain structured initial states, e.g., vacuum perturbations or near-stationa…