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

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 parin...

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Bibliographic Details
Published in:arXiv.org 2022-10
Main Authors: Ojeda Collado, H P, Usaj, Gonzalo, Balseiro, C A, Zanette, Damián H, Lorenzana, José
Format: Article
Language:English
Subjects:
Parameter identification
Phase diagrams
Phases
Time synchronization
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2210.15693