Localization in the kicked Ising chain

Determining the border between ergodic and localized behavior is of central interest for interacting many-body systems. We consider here recently very popular spin-chain model that periodically excited. A convenient description such a system achieved by dual operator evolves in contrast to time-evolution not time but particle direction. identify this paper largest eigenvalue function based on as tool determine if shows or features. By perturbation theory vicinity noninteracting we explain analytically structure compare it with numerics [P. Braun, D. Waltner, M. Akila, B. Gutkin, T. Guhr, Phys. Rev. E $\bf{101}$, 052201 (2020)] small times. Furthermore quantity allows extensive large-time numerical computations spectral form factor distinguish features Thouless time, i.e. transition these regimes thermodynamic limit.