Following Floquet states in high-dimensional Hilbert spaces

An iterative algorithm is established which enables one to compute individual Floquet states even for many-body systems with high-dimensional Hilbert spaces that are not accessible commonly employed conventional methods. A strategy proposed following a state in response small changes of given system's Hamiltonian. The scheme applied periodically driven Bose-Hubbard chain, verifying the possibility pseudoadiabatic following. In particular, it demonstrated driving-induced Mott insulatorlike target can be populated high efficiency if driving amplitude turned on smoothly but too slowly. We conclude constitutes powerful tool future investigation systems.