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TT: Fachverband Tiefe Temperaturen

TT 63: Quantum Dynamics and Many-body Systems – Poster (joint session DY/TT)

TT 63.9: Poster

Mittwoch, 11. März 2026, 15:00–18:00, P5

Dynamical Phases and Instabilities in Periodically Driven Bogoliubov-de Gennes Superconductors — •Subhadip Chakraborty, Animesh Panda, and Ferdinand Evers — Institute of Theoretical Physics, University of Regensburg, D-93040 Regensburg, Germany

We investigate the nonequilibrium dynamics of a superconductor subjected to a periodic modulation of the interaction strength starting with Bogoliubov-de Gennes (BdG) mean field Hamiltonian. Using numerical solutions of the time-dependent Bogoliubov-de Gennes equations, we first explore several dynamical superconducting regimes. Our analysis reveals a rich variety of phases, including Rabi-Higgs oscillations, synchronized Higgs dynamics, and time-crystalline responses, and shows how their stability varies across driving parameters. In some regions of parameter space, infinitesimal initial seeds of finite momentum pairing grow exponentially during our driving protocol. By computing the momentum-resolved pairing response, we identify the instability bands associated with these finite-momentum modes, quantify their growth rates, and determine their dependence on driving frequency and drive amplitude. These results provide a comprehensive numerical characterization of the dynamical phases and instabilities that arise in periodically driven superconductors before the final steady state is reached.

Keywords: Superconductor; Time dependent BdG; Parametric Instability; Dynamical Phase