Rare-History Transitions in Temporally Random Integrable Quantum Circuits
Abstract
We study current fluctuations in a temporally random integrable quantum circuit. Commutativity reduces every drive history exactly to its layer composition, turning annealed fluctuations into a competition between current gain and the large-deviation cost of rare compositions. For each fixed composition, homogeneous thermodynamic Bethe ansatz dressing supplemented by ballistic fluctuation theory yields the conditional current statistics. Their annealed large-deviation contraction predicts a first-order switch between two dominant history classes, terminating on a line of regular cusp endpoints. Finite-time analysis shows how the switch is rounded. Thus temporal randomness can act as an emergent order-parameter-like coordinate in trajectory space.
Related
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BibTeX
@misc{li2026rarehistory,
title = {{Rare-History Transitions in Temporally Random Integrable Quantum Circuits}},
author = {Tingfei Li and Jie Gu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11415},
eprint = {2609.11415},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11415},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Rare-History Transitions in Temporally Random Integrable Quantum Circuits
AU - Tingfei Li
AU - Jie Gu
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11415
UR - https://arxiv.org/abs/2609.11415
AB - We study current fluctuations in a temporally random integrable quantum circuit. Commutativity reduces every drive history exactly to its layer composition, turning annealed fluctuations into a competition between current gain and the large-deviation cost of rare compositions. For each fixed composition, homogeneous thermodynamic Bethe ansatz dressing supplemented by ballistic fluctuation theory yields the conditional current statistics. Their annealed large-deviation contraction predicts a first-order switch between two dominant history classes, terminating on a line of regular cusp endpoints. Finite-time analysis shows how the switch is rounded. Thus temporal randomness can act as an emergent order-parameter-like coordinate in trajectory space.
ER -