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arXiv · 2210.15693

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

H. P. Ojeda Collado·Gonzalo Usaj·C. A. Balseiro·Damián H. Zanette·José Lorenzana
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Abstract

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.

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H. P. Ojeda Collado, Gonzalo Usaj, C. A. Balseiro, Damián H. Zanette, José Lorenzana. 2022-10-27. Dynamical phases transitions in periodically driven Bardeen-Cooper-Schrieffer systems. https://doi.org/10.1103/physrevresearch.5.023014

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