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Fate of dynamical phases of a BCS superconductor beyond the dissipationless regime

2019/01/24 by H. P. Ojeda Collado, Gonzalo Usaj, J. Lorenzana +2 · 1 citation
Physics and Astronomy · #Computer science #Condensed matter physics #Crossover #Dissipation #Formalism (music) #Non-equilibrium thermodynamics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #Superconductivity #Thermal equilibrium #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.99.174509

published as Phys. Rev. B 99, 174509 (2019) · 7 pages, 3 figures

arxiv created 2019/01/24 · openalex created_date 2019/02/21 · openalex publication_date 2019/05/15 · arxiv updated 2019/05/22 · openalex updated_date 2026/08/06

Abstract

The BCS model of an isolated superconductor initially prepared in a nonequilibrium state predicts the existence of interesting dynamical phenomena in the time-dependent order parameter as decaying oscillations, persistent oscillations, and overdamped dynamics. To make contact with real systems remains an open challenge as one needs to introduce dissipation due to the environment in a self-consistent computation. Here, we reach this goal with the use of the Keldysh formalism to treat the effect of a thermal bath. We show that, contrary to the dissipationless case, all dynamical phases reach the equilibrium order parameter in a characteristic time that depends on the coupling with the bath. Remarkably, as time evolves, the overdamped phase shows a fast crossover where the superconducting order parameter recovers to reach a state with a well-developed long range order that tends towards equilibrium with the damped Higgs mode oscillations. Our results provide a benchmark for the description of the dynamics of real out-of-equilibrium superconductors relevant for quantum technological applications.

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