Universal Quantum Birthmark: Ghost of the quantum past

• URL: http://arxiv.org/abs/2602.00891v1
• Date: Sat, 31 Jan 2026 20:36:22 GMT
• Title: Universal Quantum Birthmark: Ghost of the quantum past
• Authors: Ivy Xiaoya, Anton M. Graf, Eric J. Heller, Joonas Keski-Rahkonen,
• Abstract summary: Quantum dynamics retains a permanent and universal memory of its initial conditions.<n>This effect, known as the quantum birthmark, appears as an enhancement of the long-time return probability of any non-stationary state.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum dynamics retains a permanent and universal memory of its initial conditions, even in systems whose spectra display fully chaotic, random-matrix behavior. This effect, known as the quantum birthmark, appears as an enhancement of the long-time return probability of any non-stationary state compared to the overlap with a typical ergodic state. In this work, we develop the full theoretical foundation for this universal contribution that depends only on the global symmetry class and accessible Hilbert-space dimension, not on the microscopic dynamics. Our findings reveal that quantum evolution preserves an unavoidable, symmetry-controlled imprint of its origin, a quantum effect calling into question classical expectations of ergodicity and the resulting thermalization scenarios.

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