Dynamical Onset of Light-Induced Unconventional Superconductivity -- a Yukawa-Sachdev-Ye-Kitaev study

TL;DR

This paper studies how superconductivity dynamically emerges from a non-Fermi liquid state in a solvable model, revealing universal relaxation behavior and the limitations of quenches in inducing superconductivity.

Contribution

It provides an exact analysis of the dynamical onset of unconventional superconductivity in the Yukawa-Sachdev-Ye-Kitaev model, linking microscopic parameters to Ginzburg-Landau theory.

Findings

Superconductivity emerges universally from undercooled states.

Interaction quenches across the phase transition do not induce superconductivity.

Ginzburg-Landau parameters are derived microscopically.

Abstract

We investigate the dynamical onset of superconductivity in the exactly solvable Yukawa-Sachdev-Ye-Kitaev model. It hosts an unconventional superconducting phase that emerges out of a non-Fermi liquid normal state, providing a toy model for superconductivity in a strongly correlated system. Analyzing dynamical protocols motivated by theoretical mechanisms proposed for light-induced superconductivity, that is light-induced cooling and the dressing of Hamiltonian parameters, we investigate the exact relaxation resulting out of undercooling and interaction quenches. While, in contrast to BCS theory, it is not possible for superconductivity to emerge following interaction quenches across the superconducting phase transition, we find that the dynamical relaxation of undercooled states universally leads to superconductivity. Despite the strong correlations, the emerging order parameter dynamics are well captured by a coarse grained Ginzburg-Landau theory for which we determine all parameters from microscopics.