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Title: Universal scaling near dynamical transitions in interacting systems
Plain: Ordinary phase transitions have universal exponents shared by very different materials. Whether the kinks in the return probability have universal exponents in interacting two- and three-dimensional systems is not known.
Precise: Near $t_c$, determine whether $\ell(t)-\ell(t_c)\sim \left|t-t_c\right|^a$ with exponent a independent of microscopic details for interacting models in $d=2,3$ (e.g. the transverse-field Ising model quenched from the paramagnet deep into the ferromagnet). Answer: values of a and their classification.
Settled by: Large-scale 2D numerics (tensor networks or neural quantum states) plus a renormalization-group theory predicting the exponents.
Kind: well-posed
Answer type: classification
References: (empty)
Literature status: open
Status note: Heyl (2015) derived universal scaling for a class of Ising-type quenches; generic interacting cases remain open.
Posed since: (empty)