Numerical method to compute optical conductivity based on pump-probe simulations

Abstract

A numerical method to calculate optical conductivity based on a pump-probe setup is presented. Its validity and limits are tested and demonstrated via the concrete numerical simulations on the half-filled one-dimensional extended Hubbard model both in equilibrium and out of equilibrium. By employing either a step- or a Gaussian-like probing vector potential, it is found that in nonequilibrium, the method in the narrow-probe-pulse limit can be identified with variant types of linear response theory, which, in equilibrium, produce identical results. The observation reveals the underlying probe-pulse dependence of the optical conductivity calculations in nonequilibrium, which may have its applications in the theoretical analysis of ultrafast spectroscopy measurements.

9 pages, 6 figures

References in corpus (10)

• Many-Body Physics with Ultracold Gases
• Optically induced superconductivity in striped La2-xBaxCuO4 by polarization-selective excitation in the near infrared
• Snapshots of the retarded interaction of charge carriers with ultrafast fluctuations in cuprates
• Photo-induced states in a Mott insulator
• Relaxation dynamics of the Holstein polaron
• Terahertz time-domain spectroscopy of transient metallic and superconducting states
• Enhanced charge order in a photoexcited one-dimensional strongly correlated system
• Photoinduced in-gap excitations in the one-dimensional extended Hubbard model
• Photoexcitation of electronic instabilities in one-dimensional charge-transfer systems
• Comment on "Terahertz time-domain spectroscopy of transient metallic and superconducting states" (arXiv:1506.06758)

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