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Tailoring Dynamical Quantum Phase Transitions via Double-Mode Squeezing Manipulation

arXiv Quantum Physics
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Researchers proposed a novel method to control dynamical quantum phase transitions (DQPTs) using double-mode squeezing in XY spin chains, published January 2026. The technique manipulates initial states to dynamically alter transition behavior. Breaking particle-hole symmetry via squeezing enables precise tuning of DQPTs, allowing induction or suppression of transitions within a single phase. This offers unprecedented control over far-from-equilibrium quantum criticality. At critical squeezing strength (r=π/4) with preserved symmetry, a universal DQPT class emerges, independent of quench paths. All Fisher zeros collapse onto the real-time axis, revealing a geometric phase evolution. The study links entanglement saturation to universal dynamics, showing critical momenta align with modes of maximal intermode entanglement. This establishes a direct connection between entanglement and nonanalytic behavior. The work positions initial-state squeezing as a powerful tool for engineering quantum criticality, with potential applications in quantum simulation and nonequilibrium phase control.
Tailoring Dynamical Quantum Phase Transitions via Double-Mode Squeezing Manipulation

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Quantum Physics arXiv:2601.03494 (quant-ph) [Submitted on 7 Jan 2026] Title:Tailoring Dynamical Quantum Phase Transitions via Double-Mode Squeezing Manipulation Authors:Kaiyuan Cao, Haodong Wang, Xiang-Ping Jiang, Shu chen, Jian Wang View a PDF of the paper titled Tailoring Dynamical Quantum Phase Transitions via Double-Mode Squeezing Manipulation, by Kaiyuan Cao and 4 other authors View PDF HTML (experimental) 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 $r=\pi/4$, 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 $\pi$-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. Comments: Subjects: Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas) Cite as: arXiv:2601.03494 [quant-ph] (or arXiv:2601.03494v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.03494 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Kaiyuan Cao [view email] [v1] Wed, 7 Jan 2026 01:21:40 UTC (6,380 KB) Full-text links: Access Paper: View a PDF of the paper titled Tailoring Dynamical Quantum Phase Transitions via Double-Mode Squeezing Manipulation, by Kaiyuan Cao and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 Change to browse by: cond-mat cond-mat.quant-gas References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics