Ballistic propagation bounds for all moments and thermodynamically stable Lieb-Robinson bounds are proven for long-ranged Bose-Hubbard Hamiltonians under suitable initial-state conditions.
On propagation of information in quantum many-body systems
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the many-body evolution stays, up to small leaking probability tails, within a light cone of the support of the initial conditions. This estimate is used to prove the light-cone approximation of dynamics and Lieb-Robinson-type bound, which in turn yield the results above. Our conditions cover long-range interactions. The main results of this paper as well as some key steps of the proofs were first presented in [36].
fields
math-ph 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians
Ballistic propagation bounds for all moments and thermodynamically stable Lieb-Robinson bounds are proven for long-ranged Bose-Hubbard Hamiltonians under suitable initial-state conditions.