{"paper":{"title":"Universal Spin Squeezing Dynamical Phase Transitions across Lattice Geometries, Dimensions, and Microscopic Couplings","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A dynamical squeezing phase transition persists across all lattice geometries and coupling strengths in power-law spin models.","cross_cats":["cond-mat.quant-gas"],"primary_cat":"quant-ph","authors_text":"Arman Duha, Thomas Bilitewski","submitted_at":"2026-05-13T18:00:07Z","abstract_excerpt":"Recent work has identified a dynamical squeezing phase transition in power-law interacting bilayer XXZ spin models, separating a fully collective phase with Heisenberg-limited squeezing from a partially-collective phase with universal critical scaling. Here we test and establish the universality of this transition along two qualitatively different microscopic axes: lattice geometry, by studying square, triangular, and honeycomb $2\\mathrm{D}$ bilayers as well as $1\\mathrm{D}$ ladders, and a symmetry-preserving rescaling $\\lambda$ of the interlayer couplings relative to the intralayer ones. Comb"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the transition persists across all four lattice geometries and over a wide range of λ with critical exponents consistent within error, providing strong evidence for a genuine non-equilibrium universality class. The Bogoliubov theory recovers the previously identified scaling a_Z^* ∝ L in the long-range interacting regime α < d+2, and yields an analytical scaling a_Z^* ∝ L^{2/(α-d)} for the critical aspect ratio with system size for α>d+2","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The Bogoliubov instability analysis combined with discrete truncated Wigner simulations accurately captures the full quantum many-body dynamics without significant corrections from higher-order terms or unaccounted finite-size effects.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The dynamical squeezing phase transition in bilayer XXZ spin models is universal across lattice geometries and interlayer coupling rescalings, with a new sub-linear scaling for short-range interactions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A dynamical squeezing phase transition persists across all lattice geometries and coupling strengths in power-law spin models.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"72ddeb22d4d8ed202d8ce80c53de6658b3e2928c240726bcfb076f3885715c39"},"source":{"id":"2605.13969","kind":"arxiv","version":1},"verdict":{"id":"cbf75922-d411-4a4d-84fb-0db167dc56f4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T05:59:08.223906Z","strongest_claim":"the transition persists across all four lattice geometries and over a wide range of λ with critical exponents consistent within error, providing strong evidence for a genuine non-equilibrium universality class. The Bogoliubov theory recovers the previously identified scaling a_Z^* ∝ L in the long-range interacting regime α < d+2, and yields an analytical scaling a_Z^* ∝ L^{2/(α-d)} for the critical aspect ratio with system size for α>d+2","one_line_summary":"The dynamical squeezing phase transition in bilayer XXZ spin models is universal across lattice geometries and interlayer coupling rescalings, with a new sub-linear scaling for short-range interactions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The Bogoliubov instability analysis combined with discrete truncated Wigner simulations accurately captures the full quantum many-body dynamics without significant corrections from higher-order terms or unaccounted finite-size effects.","pith_extraction_headline":"A dynamical squeezing phase transition persists across all lattice geometries and coupling strengths in power-law spin models."},"references":{"count":68,"sample":[{"doi":"","year":2023,"title":"N. Defenu, T. Donner, T. Macr` ı, G. Pagano, S. Ruffo, and A. Trombettoni, Long-range interacting quantum systems, Rev. Mod. Phys.95, 035002 (2023)","work_id":"f144cbbd-03ee-4f85-bc14-79caff9de411","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"A. Browaeys and T. Lahaye, Many-body physics with individually controlled rydberg atoms, Nat. Physics16, 132 (2020)","work_id":"ea85fdcb-c0b4-44cf-9b6e-7aab42729c78","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2010,"title":"M. Saffman, T. G. Walker, and K. Mølmer, Quantum information with rydberg atoms, Rev. Mod. Phys.82, 2313 (2010)","work_id":"2f15b3b6-ec37-4f38-8a63-18a9069ab2a3","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2021,"title":"M. Morgado and S. Whitlock, Quantum simulation and computing with rydberg-interacting qubits, AVS Quan- tum Science3, 023501 (2021). 7","work_id":"c1c8a419-014e-47c7-9735-ff5d43e6a9ba","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2012,"title":"M. A. Baranov, M. Dalmonte, G. Pupillo, and P. Zoller, Condensed matter theory of dipolar quantum gases, Chem- ical Reviews112, 5012 (2012)","work_id":"24f2a333-e8bc-4e27-ad8a-7f26da42eaa8","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":68,"snapshot_sha256":"070fbf3a91cccafa9c874cd05768a32667543fc57c68701f7ad2d2c22aefda96","internal_anchors":2},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}