Universal Spin Squeezing Dynamical Phase Transitions across Lattice Geometries, Dimensions, and Microscopic Couplings
Abstract
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 2D bilayers as well as 1D ladders, and a symmetry-preserving rescaling λ of the interlayer couplings relative to the intralayer ones. Combining a Bogoliubov instability analysis with discrete truncated Wigner simulations, we find that 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 aZ* ∝ L in the long-range interacting regime α< d+2, and yields an analytical scaling aZ* ∝ L2/(α−d) for the critical aspect ratio with system size for α>d+2, with α the power-law exponent in dimension d. This uncovers a previously unrecognized sub-linear regime for short-range interactions. By tuning λ we vary the interlayer coupling strength at fixed layer spacing, demonstrating that the dynamical transition can be driven purely through interaction engineering without modifying the underlying geometry. These findings provide a versatile route toward controlling entanglement generation in Rydberg-array, polar molecule, and trapped-ion platforms with applications in quantum sensing and simulation.
Versions
Related
- Asymmetric phase transitions in random noncommutative geometries
- Charged and rotating near-horizon geometries in five dimensions
- Charged and rotating near-horizon geometries in five dimensions
- Microscopic study of topological phase transitions: Percolation point of view
- Microscopic dynamics of contagion using active Brownian particles: universal scaling and propagation controlled by protection
BibTeX
@misc{duha2026universal,
title = {{Universal Spin Squeezing Dynamical Phase Transitions across Lattice Geometries, Dimensions, and Microscopic Couplings}},
author = {Arman Duha and Thomas Bilitewski},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.13969},
eprint = {2605.13969},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.13969},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Universal Spin Squeezing Dynamical Phase Transitions across Lattice Geometries, Dimensions, and Microscopic Couplings
AU - Arman Duha
AU - Thomas Bilitewski
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2605.13969
UR - https://arxiv.org/abs/2605.13969
AB - 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 2D bilayers as well as 1D ladders, and a symmetry-preserving rescaling λ of the interlayer couplings relative to the intralayer ones. Combining a Bogoliubov instability analysis with discrete truncated Wigner simulations, we find that 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, with α the power-law exponent in dimension d. This uncovers a previously unrecognized sub-linear regime for short-range interactions. By tuning λ we vary the interlayer coupling strength at fixed layer spacing, demonstrating that the dynamical transition can be driven purely through interaction engineering without modifying the underlying geometry. These findings provide a versatile route toward controlling entanglement generation in Rydberg-array, polar molecule, and trapped-ion platforms with applications in quantum sensing and simulation.
ER -