Sayan Choudhury (University of Pittsburgh)10.02.2022, Thursday at 14h (BRT)
Title: Discrete Time Crystals
Periodically driven systems are described by time-dependent Hamiltonians that possess discrete time translation symmetry. The spontaneous breaking of this symmetry leads to the emergence of a novel non-equilibrium phase of matter—the Discrete Time Crystal. In this talk, I will first present a route to realize an eternal discrete time crystal in the periodically driven Lipkin-Meshkov-Glick model by tuning the interaction strength is tuned to an optimal value. This proposal relies on an interaction-induced quantum interference mechanism. In the second half of the talk, I will discuss the stability of this phase when the drive becomes quasi-periodic in nature. I will demonstrate that this system can host prethermal phases characterized by periodic temporal order, even when the drive is no longer periodic. These works suggest that both periodic and quasiperiodic driving protocols can provide a promising route for realizing novel non-equilibrium phases of matter in long-range interacting systems.
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