Kibble-Zurek scaling in periodically driven quantum systems

¹ Department of Physics, Bar Ilan University - 52900, Ramat Gan Israel
² Scuola Normale Superiore - Piazza dei Cavalieri 7, I-56127 Pisa, Italy
³ International Centre for Theoretical Physics (ICTP) - Strada Costiera 11, I-34151 Trieste, Italy

Received: 2 May 2016
Accepted: 18 August 2016

Abstract

We study the slow crossing of non-equilibrium quantum phase transitions in periodically driven systems. We explicitly consider a spin chain with a uniform time-dependent magnetic field and focus on the Floquet state that is adiabatically connected to the ground state of the static model. We find that this Floquet ground state undergoes a series of quantum phase transitions characterized by a non-trivial topology. To dynamically probe these transitions, we propose to start with a large driving frequency and slowly decrease it as a function of time. Combining analytical and numerical methods, we uncover a Kibble-Zurek scaling that persists in the presence of moderate interactions. This scaling can be used to experimentally demonstrate non-equilibrium transitions that cannot be otherwise observed.