Generalize the metastability framework to interacting bosonic systems

Investigate the extent to which the paper’s metastability theory and prethermalization bounds extend to interacting bosonic lattice models. Establish rigorous metastability and lifetime results for number-conserving bosonic systems using available Lieb–Robinson bounds, and develop new methods to treat more general bosonic models where strong locality bounds are unavailable.

Background

All main results are developed for finite-dimensional on-site Hilbert spaces (spins/qudits). Extending them to bosonic degrees of freedom is nontrivial because strong locality bounds typically fail in general bosonic settings.

The authors highlight that recent Lieb–Robinson bounds suggest feasibility for number-conserving bosonic systems, while completely general bosonic models likely require new techniques.