Fluctuating Nature of Light-Enhanced $d$-Wave Superconductivity: A Time-Dependent Variational Non-Gaussian Exact Diagonalization Study

Abstract

Engineering quantum phases using light is a novel route to designing functional materials, where light-induced superconductivity is a successful example. Although this phenomenon has been realized experimentally, especially for the high-$T_c$ cuprates, the underlying mechanism remains mysterious. Using the recently developed variational non-Gaussian exact diagonalization method, we investigate a particular type of photoenhanced superconductivity by suppressing a competing charge order in a strongly correlated electron-electron and electron-phonon system. We find that the $d$-wave superconductivity pairing correlation can be enhanced by a pulsed laser, consistent with recent experiments based on gap characterizations. However, we also find that the pairing correlation length is heavily suppressed by the pump pulse, indicating that light-enhanced superconductivity may be of fluctuating nature. Our findings also imply a general behavior of nonequilibrium states with competing orders, beyond the description of a mean-field framework.

17 pages, 8 figures

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• Light-induced coherent interlayer transport in stripe-ordered ${\mathrm{La}}_{1.6-x}{\mathrm{Nd}}_{0.4}{\mathrm{Sr}}_x{\mathrm{CuO}}_4$
• Light-Induced Melting of Competing Stripe Orders without Introducing Superconductivity in La${}_{2-\mathbf{x}}$Ba${}_{\mathbf{x}}$CuO${}_4$
• Orbitally Selective Resonant Photodoping to Enhance Superconductivity
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• Phonon state tomography of electron correlation dynamics in optically excited solids
• Charge-Density-Wave State in Extremely Overdoped Cuprates Driven by Phonons
• Strong long-wavelength electron-phonon coupling in Ta${}_2$Ni(Se,S)${}_5$
• A light-induced charge order mode in a metastable cuprate ladder
• Dynamical Approach to Realize Room-Temperature Superconductivity in LaH${}_{10}$
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity
• Coincidence detection techniques for direct measurement of many-body correlations in strongly correlated electron systems
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation