ABSTRACT
Periodic driving schemes provide a simple way to study systems out of equilibrium, also known as Floquet engineering. For examples, in order to engineer superconductivity in Floquet system, there are two possible routes: 1) proximity-induced SC, 2) intrinsic SC due to interaction stabilities. We study the interplay among cooper correlation, periodic driving, and unavoidable dissipations in those Floquet systems. First of all, we consider Floquet topological SC, where the SC correlations are from proximity effect. Proximity effects provide not only cooper correlation but also strong dissipation; therefore, Floquet Majorana zero modes acquire finite lifetimes, and Floquet Majorana Pi mode can be destroyed. Secondly, we consider intrinsic superconductivity in a dissipative Floquet due to interaction instability. We find that the system shows a time-periodic bosonic condensation and reaches an intrinsic dissipative Floquet SC phase. The fermionic part acquires a “soft” energy gap and contains the diffusive modes with finite lifetimes.
BIOGRAPHY
Dr. Dong E. Liu did his undergraduate study at Peking University. He got his PhD degree at Duke University in 2012, and then moved to the Michigan State University as a postdoc researcher. From 2014 to 2017, he worked for Microsoft Station Q as a postdoc researcher, and mostly focused on the theory of topological devices and topological quantum computation. He joined Tsinghua University in 2018 as an assistant professor.
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