On the microscopic propagation speed of long-range quantum many-body systems

• URL: http://arxiv.org/abs/2310.14896v2
• Date: Tue, 14 Nov 2023 08:20:18 GMT
• Title: On the microscopic propagation speed of long-range quantum many-body systems
• Authors: Marius Lemm, Carla Rubiliani, and Jingxuan Zhang
• Abstract summary: We consider the time-dependent Schr"odinger equation that is generated on the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive the first bound on the maximal speed of particle transport in these systems that is thermodynamically stable and holds all the way down to microscopic length scales.
• Score: 3.3386099307080723
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the time-dependent Schr\"odinger equation that is generated on the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive the first bound on the maximal speed of particle transport in these systems that is thermodynamically stable and holds all the way down to microscopic length scales. For this, we develop a novel multiscale rendition of the ASTLO (adiabatic spacetime localization observables) method. Our result opens the door to deriving the first thermodynamically stable Lieb-Robinson bounds on general local operators for these long-range interacting bosonic systems.

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