Nonequilibrium Critical Scaling of a Squeezing Phase Transition*

In this talk I will discuss my recent work investigating phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 XXZ models in spin-ladder and 2D bi-layer geometries, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition between a collective phase characterized by Heisenberg limited squeezing and a partially collective phase with more modest scalable squeezing. We identify universal scaling of the squeezing dynamics in terms of system parameters and a divergent time-scale, establishing these as distinct dynamical phases within the framework of non-equilibrium critical phenomena. Our work demonstrates a novel dynamical phase transition, with potential applications in quantum sensing and quantum simulation in cold-atomic, molecular or Rydberg platforms. I will conclude with a discussion of open questions and possible future directions.