Revival Dynamics from Equilibrium States: Scars from Chords in SYK

• URL: http://arxiv.org/abs/2512.16836v1
• Date: Thu, 18 Dec 2025 18:13:50 GMT
• Title: Revival Dynamics from Equilibrium States: Scars from Chords in SYK
• Authors: Debarghya Chakraborty, Dario Rosa,
• Abstract summary: We build quantum many-body scar states in bipartite systems characterized by perfect correlation between the Hamiltonians governing the two sides.<n>We analytically study the revival dynamics, finding rigid motion for wavepackets localized on the spectrum of a single SYK copy.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We develop a novel framework to build quantum many-body scar states in bipartite systems characterized by perfect correlation between the Hamiltonians governing the two sides. By means of a Krylov construction, we build an interaction term which supports a tower of equally-spaced energy eigenstates. This gives rise to finite-time revivals whenever the system is initialized in a purification of a generic equilibrium state. The dynamics is universally characterized, and is largely independent of the specific details of the Hamiltonians defining the individual partitions. By considering the two-sided chord states of the double-scaled SYK model, we find an approximate realization of this framework. We analytically study the revival dynamics, finding rigid motion for wavepackets localized on the spectrum of a single SYK copy. These findings are tested numerically for systems of finite size, showing excellent agreement with the analytical predictions.

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