Variational Schrieffer-Wolff Transformations for Quantum Many-body Dynamics

Building on recent results for adiabatic gauge potentials, we propose a variational approach for computing the generator of Schrieffer-Wolff transformations, and demonstrate its accuracy in spin chains and fermionic systems. Because of their variational nature, the generator goes beyond standard perturbative regimes and has accuracy controlled by the locality of the ansatz. This allows for precision non-equilibrium many-body dynamics far from integrable regimes, and can be considered as improvements to the Truncated Spectrum Approach.