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

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arxiv 2310.14896 v2 pith:6BJHULBK submitted 2023-10-23 math-ph math.MPquant-ph

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

Marius Lemm , Carla Rubiliani , Jingxuan Zhang This is my paper
classification math-ph math.MPquant-ph
keywords long-rangesystemsbosonicfirstmany-bodymicroscopicquantumspeed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems

    quant-ph 2025-03 unverdicted novelty 6.0

    Derives bounds on minimal transport time and maximal distance for bosons in dissipative long-range systems, showing distinctions by loss type and the enabling role of decoherence-free subspaces for long-distance perfe...

  2. Light-Cone Structure of Propagation of Entanglement

    quant-ph 2026-04 unverdicted novelty 4.0

    Existence of an effective light-cone for entanglement propagation in bipartite systems with localized couplings, yielding a hard lower bound on transport time under ideal conditions.

  3. Light-Cone Structure of Propagation of Entanglement

    quant-ph 2026-04 unverdicted novelty 4.0

    Establishes existence of effective light-cone for entanglement propagation in bipartite systems with localized couplings, yielding lower bound on transport time under ideal conditions.