Momentum-Space Entanglement Entropy as a Universal Signature of Dynamical Quantum Phase Transitions

• URL: http://arxiv.org/abs/2601.04535v1
• Date: Thu, 08 Jan 2026 03:03:51 GMT
• Title: Momentum-Space Entanglement Entropy as a Universal Signature of Dynamical Quantum Phase Transitions
• Authors: Kaiyuan Cao, Mingzhi Li, Xiang-Ping Jiang, Shu Chen, Jian Wang,
• Abstract summary: We introduce a momentum-space entanglement entropy to quantify quantum correlations between distinct momentum modes following a quench.<n>Our work thus establishes a unified, entanglement-based perspective on dynamical quantum phase transitions.
• Score: 3.845207742812873
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We introduce a momentum-space entanglement entropy to quantify quantum correlations between distinct momentum modes following a quench. We prove analytically in the transverse-field Ising (TFI) model and the Su-Schrieffer-Heeger (SSH) chain that every critical momentum $k^{*}$ associated with a dynamical quantum phase transition (DQPT) saturates its entanglement entropy to the maximal value $\ln{d}$ ($d=2$ in TFI and SSH models), coinciding with the vanishing of the Loschmidt echo. This saturation of mode entanglement thus provides a universal, direct signature of DQPTs. Our work thus establishes a unified, entanglement-based perspective on dynamical quantum phase transitions.

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