Non-equilibrium universality in two-mode squeezing in Floquet-engineered power-law interacting spin models*

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 XXZ models, which have recently been shown to allow scalable generation of entanglement in the form of two-mode squeezing.

Here, we focus on the transition from dynamics characterized by Heisenberg limited squeezing to partially collective behavior in 1D (spin ladder) and 2D (spin bilayer) systems for a range of power-law interaction exponents. We identify universal scaling of the generated squeezing in terms of system parameters, and identify distinct phases as a function of dimensionality, powerlaw exponent, and aspect ratio of the system.

This study offers a comprehensive framework for engineering collective quantum states in experimental platforms that realize power-law spin models, advancing applications in quantum sensing and simulation.