PIRSA:14050073

Long-time behavior of periodically driven isolated interacting quantum systems

D'Alessio, L. (2014). Long-time behavior of periodically driven isolated interacting quantum systems. Perimeter Institute. https://pirsa.org/14050073

D'Alessio, Luca. Long-time behavior of periodically driven isolated interacting quantum systems. Perimeter Institute, May. 13, 2014, https://pirsa.org/14050073 

          @misc{ pirsa_PIRSA:14050073,
            doi = {10.48660/14050073},
            url = {https://pirsa.org/14050073},
            author = {D{\textquoteright}Alessio, Luca},
            keywords = {},
            language = {en},
            title = {Long-time behavior of periodically driven isolated interacting quantum systems},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {may},
            note = {PIRSA:14050073 see, \url{https://pirsa.org}}
          }

Luca D'Alessio Boston University

DOI 10.48660/14050073
Collection
Talk Type Conference

Abstract

We show that generic interacting quantum systems, which are isolated and finite, periodically driven by sudden quenches exhibit three physical regimes. For short driving periods the Floquet Hamiltonian is well approximated by the time-averaged Hamiltonian, while for long periods the evolution operator exhibits properties of random matrices of a Circular Ensemble (CE). In-between, there is a crossover
regime. We argue that, in the thermodynamic limit and for nonvanishing driving periods, the evolution operator always exhibits properties of CE random matrices. Consequently, driving leads to infinite temperature at infinite time and to an unphysical Floquet Hamiltonian.