Maximal Entanglement and Frozen Information: A Unified Framework for Dynamical Quantum Phase Transitions
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866909995180752896 |
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| author | Cao, Kaiyuan Li, Mingzhi Jiang, Xiang-Ping Chen, Shu Wang, Jian |
| author_facet | Cao, Kaiyuan Li, Mingzhi Jiang, Xiang-Ping Chen, Shu Wang, Jian |
| contents | Dynamical quantum phase transitions (DQPTs) are temporal singularities marked by zeros of the Loschmidt echo, yet their underlying quantum-information structure remains elusive. Here, we introduce a momentum-resolved entanglement entropy as a direct probe of DQPTs in translation-invariant free systems. We analytically establish that every critical momentum mode $k^{*}$ associated with a DQPT saturates its entanglement to the maximal value $\ln{2}$, coinciding with the vanishing of the Loschmidt echo. Crucially, we demonstrate that this maximal entanglement universally suppresses information scrambling: a momentum-resolved out-of-time-ordered correlator (OTOC) vanishes identically for all times at $k^{*}$. These three signatures -- Fisher zeros, maximal entanglement, and vanished OTOC -- are proved to be equivalent in both the transverse-field Ising and Su-Schrieffer-Heeger models, despite their distinct bipartitions (momentum-pair vs. sublattice). Our results establish a unified, information-theoretic framework for DQPTs, revealing them a points where quantum correlations saturate and information flow halts. This work elevates entanglement and scrambling to central dynamical order parameters, offering a universal perspective on nonequilibrium quantum critically. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_04535 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Maximal Entanglement and Frozen Information: A Unified Framework for Dynamical Quantum Phase Transitions Cao, Kaiyuan Li, Mingzhi Jiang, Xiang-Ping Chen, Shu Wang, Jian Quantum Physics Quantum Gases Dynamical quantum phase transitions (DQPTs) are temporal singularities marked by zeros of the Loschmidt echo, yet their underlying quantum-information structure remains elusive. Here, we introduce a momentum-resolved entanglement entropy as a direct probe of DQPTs in translation-invariant free systems. We analytically establish that every critical momentum mode $k^{*}$ associated with a DQPT saturates its entanglement to the maximal value $\ln{2}$, coinciding with the vanishing of the Loschmidt echo. Crucially, we demonstrate that this maximal entanglement universally suppresses information scrambling: a momentum-resolved out-of-time-ordered correlator (OTOC) vanishes identically for all times at $k^{*}$. These three signatures -- Fisher zeros, maximal entanglement, and vanished OTOC -- are proved to be equivalent in both the transverse-field Ising and Su-Schrieffer-Heeger models, despite their distinct bipartitions (momentum-pair vs. sublattice). Our results establish a unified, information-theoretic framework for DQPTs, revealing them a points where quantum correlations saturate and information flow halts. This work elevates entanglement and scrambling to central dynamical order parameters, offering a universal perspective on nonequilibrium quantum critically. |
| title | Maximal Entanglement and Frozen Information: A Unified Framework for Dynamical Quantum Phase Transitions |
| topic | Quantum Physics Quantum Gases |
| url | https://arxiv.org/abs/2601.04535 |