Quench dynamics of superconducting fluctuations and optical conductivity in a disordered system

Abstract

There has been significant interest in the generation of very short-lived superconducting states in solid-state films. Here we consider the role of non-equilibrium superconducting fluctuations in such systems, generated by an interaction quench, considering the limit of large static disorder. In particular, we argue that because of critical slowing down, the regime of the fluctuation dominated \emph{normal state} is more important than might be naïvely thought. We show how such a state might appear in the optical conductivity, and give the appropriate non-equilibrium generalization of the Azlamazov-Larkin and Maki-Thompson fluctuation corrections to the optical conductivity. For a quench to the superconducting critical point, we show that the fluctuation corrections lead to power-law aging behavior in the optical conductivity. The power-law aging from Azlamazov-Larkin and Maki-Thompson terms are qualitatively different, despite the effect of the two being similar in dc measurements in thermal equilibrium. These signatures provide a road-map for experiments to identify the role of superconducting fluctuations in a transient state.

arXiv comment14 pages, 7 figures

References in corpus (19)

• An optically stimulated superconducting-like phase in K3C60 far above equilibrium Tc
• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Ageing Properties of Critical Systems
• Transient superconductivity from electronic squeezing of optically pumped phonons
• Dynamical Cooper pairing in non-equilibrium electron-phonon systems
• Quantum quench in interacting field theory: a self-consistent approximation
• Light-enhanced electron-phonon coupling from nonlinear electron-phonon coupling
• Theory of Laser-Controlled Competing Superconducting and Charge Orders
• On equilibration and coarsening in the quantum O(N) model at infinite $N$
• Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum $O(N)$ model with $N\to \infty$
• Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
• Universal post-quench prethermalization at a quantum critical point
• Time- and Momentum-resolved Gap Dynamics in Bi2Sr2CaCu2O8+delta
• Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in $d$ spatial dimensions
• Non-equilibrium Optical Conductivity: General Theory and Application to Transient Phases
• Time-resolved spectral density of interacting fermions following a quench to a superconducting critical point
• Strong compensation of the quantum fluctuation corrections in clean superconductor
• The Fluctuation Induced Pseudogap in the Infrared Optical Conductivity of High Temperature Superconductors
• Model Predictions for Time-Resolved Transport Measurements Made near the Superfluid Critical Points of Cold Atoms and $K_3{C}_{60}$ Films

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