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Emergent boundary-memory from unitarity constraints in a minimal two interacting quantum particles
Ibrahim Yahaya Muhammad, Tanapat Deesuwan, Monsit Tanasittikosol·July 22, 2026
Quantum Physics
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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.