The use of Peres lattices in periodically driven systems

Abstract

We demonstrate the strength of the method of Peres lattices in periodically driven quantum systems. The method, which has previously been used mostly in stationary systems, enables us to efficiently detect resonances in the driven system, to monitor the onset of chaos, and to recognize critical properties of the Floquet modes. It also allows quick comparisons of the spectra of Floquet modes for various driving Hamiltonians and transparent tests of the iterative approximation techniques based on effective stationary Hamiltonians.

arXiv comment21 pages, 21 figures. Revised version. The manuscript has been updated following the reviewers' comments, with additional numerical results in the appendices and several clarifications throughout the paper