Entanglement Generation in Periodically Driven Integrable Systems: Dynamical Phase Transitions and Steady State

<strong>Seminar of the School of Physical Sciences --------------------------------------------------</strong> Title:&nbsp;<strong>Entanglement Generation in Periodically Driven Integrable Systems: Dynamical Phase Transitions and Steady State</strong> Speaker:&nbsp;<strong>Krishnendu Sengupta</strong> (Indian Association for the Cultivation of Science, Kolkata) Date:&nbsp;<strong>September 7, 2016</strong> <strong>Abstract:</strong>&nbsp;We show that periodic drives, when applied to integrable quantum systems in d dimensions, lead to a route to generation of non-area and non-volume law entanglement entropy. We also show that such systems undergo a dynamical phase transition as a function of the drive frequency which leaves its signature on all correlation functions and obtain the corresponding phase diagram. We show that the transition occurs due to change in topology of the Floquet spectrum of the system. Finally, we study the entanglement entropy in the steady state and relate its structure to the Floquet Hamiltonian of the driven system.