Tailoring Dynamical Quantum Phase Transitions via Double-Mode Squeezing Manipulation

• URL: http://arxiv.org/abs/2601.03494v1
• Date: Wed, 07 Jan 2026 01:21:40 GMT
• Title: Tailoring Dynamical Quantum Phase Transitions via Double-Mode Squeezing Manipulation
• Authors: Kaiyuan Cao, Haodong Wang, Xiang-Ping Jiang, Shu chen, Jian Wang,
• Abstract summary: We propose a protocol to tailor dynamical quantum phase transitions (DQPTs) by double-mode squeezing on the initial state in the XY chain.<n>Our work establishes initial-state squeezing as a versatile tool for tailoring far-from-equilibrium criticality.
• Score: 6.974619634183539
• License: http://creativecommons.org/licenses/by/4.0/
• 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 universal class of DQPTs emerges, independent of the quench path. This universality 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 $(k,-k)$ modes. Moreover, the critical momenta governing the DQPTs coincide exactly with the modes attaining the maximal entanglement. At this universal 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 universal nonanalytic dynamics.

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