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Title: Nonequilibrium dynamics of superconductivity in the attractive Hubbard model

Abstract

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.

Authors:
 [1]; ORCiD logo [2]
  1. Univ. of Virginia, Charlottesville, VA (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1572325
Alternate Identifier(s):
OSTI ID: 1492910
Report Number(s):
LA-UR-18-31201
Journal ID: ISSN 2469-9950; PRBMDO
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 3; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Material Science

Citation Formats

Chern, Gia-Wei, and Barros, Kipton Marcos. Nonequilibrium dynamics of superconductivity in the attractive Hubbard model. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.035162.
Chern, Gia-Wei, & Barros, Kipton Marcos. Nonequilibrium dynamics of superconductivity in the attractive Hubbard model. United States. doi:10.1103/PhysRevB.99.035162.
Chern, Gia-Wei, and Barros, Kipton Marcos. Tue . "Nonequilibrium dynamics of superconductivity in the attractive Hubbard model". United States. doi:10.1103/PhysRevB.99.035162. https://www.osti.gov/servlets/purl/1572325.
@article{osti_1572325,
title = {Nonequilibrium dynamics of superconductivity in the attractive Hubbard model},
author = {Chern, Gia-Wei and Barros, Kipton Marcos},
abstractNote = {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.},
doi = {10.1103/PhysRevB.99.035162},
journal = {Physical Review B},
number = 3,
volume = 99,
place = {United States},
year = {2019},
month = {1}
}

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