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    Tailoring dynamical quantum phase transitions via double-mode squeezing manipulation

    Kaiyuan Cao1,*, Haodong Wang1, Xiang-Ping Jiang2, Shu Chen3,†, and Jian Wang1,‡

    • *Contact author: kycao@yzu.edu.cn
    • †Contact author: schen@iphy.ac.cn
    • ‡Contact author: phcwj@hotmail.com

    Phys. Rev. B 114, 034301 – Published 6 July, 2026

    DOI: https://doi.org/10.1103/wsxd-k6dv

    Abstract

    We propose a protocol to tailor dynamical quantum phase transitions (DQPTs) by double-mode squeezing onto the initial state in the XY chain. The effect of squeezing depends critically on the system's symmetry and parameters. When the squeezing operator breaks particle-hole symmetry (PHS), DQPTs become highly tunable, allowing one to either induce transitions within a single phase or suppress them. Remarkably, when PHS is preserved and the squeezing strength reaches r=π/4, a distinctive class of DQPTs emerges, independent of the quench path. This distinction is characterized by two key features: (i) the collapse of all Fisher zeros onto the real-time axis, and (ii) the saturation of intermode entanglement to its maximum in each (k,−k) mode. Moreover, the critical momenta governing the DQPTs coincide exactly with the modes attaining the maximal entanglement. At this distinctive point, the dynamical phase vanishes, leading to a purely geometric evolution marked by π jumps in the Pancharatnam geometric phase. Our work establishes initial-state squeezing as a versatile tool for tailoring far-from-equilibrium criticality and reveals a direct link between entanglement saturation and nonanalytic dynamics.

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