Nonequilibrium dynamics of superconductivity in the attractive Hubbard model

Chern, Gia-Wei; Barros, Kipton Marcos

doi:10.1103/PhysRevB.99.035162

Title: Nonequilibrium dynamics of superconductivity in the attractive Hubbard model

Journal Article · 14 January 2019 · Physical Review B

DOI: https://doi.org/10.1103/PhysRevB.99.035162 · OSTI ID:1572325

Chern, Gia-Wei ^[1];

^[2]

Univ. of Virginia, Charlottesville, VA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

We present a framework of semiclassical superconductivity (SC) dynamics that properly includes effects of spatial fluctuations for the attractive Hubbard model. We consider both coherent and adiabatic limits. To model the coherent SC dynamics, we develop a real-space von Neumann equation based on the time-dependent Hartree-Fock-Bogoliubov theory. Applying our method to interaction quenches in the negative-U Hubbard model, we show that the relaxation of SC order at weak coupling is dominated by Landau-damping. At strong coupling, we find a two-stage relaxation of the pairing field: a collapse of the synchronized oscillation of Cooper pairs due to spatial inhomogeneity, followed by a slow relaxation to a quasistationary state. SC dynamics in the adiabatic limit is described by a quantum Landau-Lifshitz equation with Ginzburg-Landau relaxation. Numerical simulations of the pump-probe process show that long-time recovery of the pairing field is dominated by defect dynamics. Here, our results demonstrate the important role of spatial fluctuations in both limits.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1572325

Report Number(s):: LA-UR--18-31201

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 3 Vol. 99; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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