2026/07/18 by Tanay Pathak
#quant-ph #cond-mat.stat-mech
We introduce and study a periodically kicked version of a one-dimensional spin-1/2 Ising model with contiguous p-body interactions. At specific interaction strengths of the model, we establish an exact Floquet interaction order-range mapping: the Floquet evolution operator of the p-body Ising model is exactly mapped to a two body Ising model with interactions having maximum range p-1 and exactly determined couplings. Upon further tuning the kicking strength, the mapped model becomes dual-unitary, thus providing an explicit family of p-body dual unitary models. We then determine exact entanglement dynamics of the p-body model for a class of solvable initial states at all times. We further illustrate the nontrivial structures that can emerge from the order-range mapping using a minimal example of p=3 and generalize it for all odd p. These findings provide a systematic route to constructing and studying p-body dual-unitary Floquet models.