Emergent boundary-memory from unitarity constraints in a minimal two interacting quantum particles

Abstract:We construct a simple model of two particles mutually attracting/repulsing in a one-dimensional lattice and investigate the corresponding dynamics. We show that enforcing reversible unitary evolution on a minimal direct-motion interaction rule necessarily gives rise to emergent boundary-memory and non-trivial dynamics. Remarkably, the resulting boundary-memory leads to event-horizon-like behaviour, entanglement between subsystem, and Page-curve-like entanglement dynamics.

arXiv:2607.19870 [quant-ph]

(or arXiv:2607.19870v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.19870 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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