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arXiv · 2607.19870

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

Ibrahim Yahaya Muhammad·Tanapat Deesuwan·Monsit Tanasittikosol
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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.

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Ibrahim Yahaya Muhammad, Tanapat Deesuwan, Monsit Tanasittikosol. 2026-07-22. Emergent boundary-memory from unitarity constraints in a minimal two interacting quantum particles. https://arxiv.org/abs/2607.19870

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