Abstract

Development of ultrafast lasers and nonlinear optical techniques over the last two decades provides tools to access real-time dynamics of low energy excitations in superconductors. For example, time-resolved THz spectroscopy and time- and angular-resolved photoemission spectroscopy provide access to the real-time dynamics of the superconducting gap amplitude. Such studies enable determination of microscopic parameters like quasi-particle recombination rates, pair-breaking rates and electron–boson coupling constants. Recently, intense THz pulses have been used to probe the nonlinear dynamics, including observation of collective modes. Moreover, using low-frequency electromagnetic pulses, there are several reports of amplification of superconductivity in both conventional and unconventional superconductors. Starting with a brief historical overview of the pioneering work, where non-equilibrium phenomena in superconductors were investigated using quasi-continuous excitation, we review some of the insights that are provided by using real-time approaches. We focus on conventional BCS superconductors, whose ground state is reasonably well understood, and address similarities and open questions related to the corresponding studies in high-{T}_{c} superconductors.

Highlights

  • The field of non-equilibrium superconductivity [1, 2] started soon after the first observation of the superconducting gap using optical spectroscopy [3] and the development of the BCS theory

  • In the last two decades or so, the time-resolved techniques, with their ability to probe the evolution of optical constants, electronic band structure, magnetization and crystal structure with femtosecond time resolution contributed to further our understanding of out-of-equilibrium superconductors

  • As addressed above, when at kBT

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Summary

Introduction

The field of non-equilibrium superconductivity [1, 2] started soon after the first observation of the superconducting gap using optical spectroscopy [3] and the development of the BCS theory. Given that small energy gap Δ on the order of a meV (depending on the material), superconductors were first considered as potential detectors for far-infrared radiation [4]. While the first real-time experiments with picosecond time resolution were performed on conventional superconductor Pb [9], the field started to blossom following the early studies on cuprate superconductors [10–18]. The first systematic real-time studies of dynamics in conventional superconductors were performed substantially later [19–22] Such studies still represent a small fraction of the body of work performed on superconductors, still largely dominated by studies of cuprate and pnictide high-temperature superconductors. For a review, focusing on ultrafast spectroscopy in correlated high-temperature superconductors, we refer the interested reader to a recent review [23]

Dynamics Following the Above Gap Excitation of a Superconductor
Enhancement of Superconductivity with Sub‐gap Excitation
Real‐Time Spectroscopy of the Superconducting Gap Dynamics
Photo‐Induced Dynamics of the Superconducting Gap in NbN
Cooper Pair Breaking Dynamics
Energetics of the Gap Suppression in Conventional Superconductors
Superconducting State Recovery Dynamics at Temperatures Far Below Tc
Superconducting State Recovery Dynamics in the Limit T → Tc
Superconducting Gap Dynamics in High‐Tc Cuprate Superconductors
Pair‐Breaking Dynamics in Cuprates
Energetics of the Gap Suppression in Cuprate Superconductors
Open Questions
THz Driven Enhancement of Superconductivity in BCS Superconductors
Photo‐Induced Superconductivity in Unconventional Superconductors
Findings
Summary and Perspectives
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