Dynamical phases transitions in periodically driven Bardeen-Cooper-Schrieffer systems

HECTOR PABLO OJEDA COLLADO; GONZALO USAJ; CARLOS A. BALSEIRO; DAMIÁN ZANETTE; JOSÉ LORENZANA

Physical Review Research

APS

Año: 2023 vol. 5 p. 23014 - 23014

2643-1564

We present a systematic study of the dynamical phase diagram of a periodically driven BCS system as a function of drive strength and frequency. Three different driving mechanism are considered and compared: oscillating density of states, oscillating pairing interaction and oscillating external paring field. We identify the locus in parameter space of parametric resonances and four dynamical phases: Rabi-Higgs, gapless, synchronized Higgs and time-crystal. We demonstrate that the main features of the phase diagram are quite robust to different driving protocols and discuss the order of the transitions. By mapping the BCS problem to a collection of nonlinear and interacting classical oscillators, we shed light on the origin of time-crsytalline phases and parametric resonances appearing for subgap excitations.