Ground state and persistent oscillations in the quantum East model

Adway Kumar Das; Achilleas Lazarides

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arXiv · 2602.23422

Ground state and persistent oscillations in the quantum East model

Adway Kumar Das·Achilleas Lazarides

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Abstract

For the 1D quantum East model with open boundaries, we show that in the limit $s \to -\infty$, the ground state is accurately captured by a simple spin-coherent product state. We further identify a low-entanglement excited eigenstate that differs from the ground state only by a $\pi$-rotation of the boundary spin, remaining well approximated by a spin-coherent state. For a range of $-\infty<s<0$, the edge-coherent product state overlaps with two eigenstates separated by a size-independent energy gap, leading to persistent coherent oscillations of both global and local observables in the thermodynamic limit. These oscillations originate from boundary physics and are distinct from quantum many-body scars or hypercube-like Fock-space mechanisms.

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Adway Kumar Das, Achilleas Lazarides. 2026-02-26. Ground state and persistent oscillations in the quantum East model. https://arxiv.org/abs/2602.23422

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