Parametric resonance of Josephson plasma waves: A theory for optically amplified interlayer superconductivity in YBa${}_2$Cu${}_3$O${}_{6+x}$

Abstract

Non-linear interactions between collective modes play a definitive role in far out of equilibrium dynamics of strongly correlated electron systems. Understanding and utilizing these interactions is crucial to photo-control of quantum many-body states. One of the most surprising examples of strong mode coupling is the interaction between apical oxygen phonons and Josephson plasmons in bilayer YBa${}_2$Cu${}_3$O${}_{6+x}$ superconductors. Experiments by Hu et al (2014). and Kaiser et al. (2014) showed that below Tc, photo-excitation of phonons leads to enhancement and frequency shifts of Josephson plasmon edges, while aboveTc, photo-excited phonons induce plasmon edges even when there are no discernible features in the equilibrium reflectivity spectrum. Recent experiments by Van Hoegen et al. (2019) also observed parametric generation of Josephson plasmons from photo-excited phonons both below Tc and in the pseudogap phase. In this paper we present a theoretical model of phonon-plasmon three wave interaction arising from coupling between the oxygen motion and the in-plane superfluid stiffness. Analysis of the parametric instability of plasmons based on this model gives frequencies of the most unstable plasmons that are in agreement with experimental observations. We also discuss how strong parametric excitation of Josephson plasmons can explain pump induced changes in the TeraHertz reflectivity of YBa${}_2$Cu${}_3$O${}_{6+x}$ in the superconducting state, including frequency shifts and sharpening of Josephson plasmon edges, as well as appearance of a new peak around 2THz. An interesting feature of this model is that overdamped Josephson plasmons do not give any discernible features in reflectivity in equilibrium, but can develop plasmon edges when parametrically excited. We suggest that this mechanism explains photo-induced plasmon edges in the pseudogap phase of YBa${}_2$Cu${}_3$O${}_{6+x}$.

arXiv comment21 papers, 17 figures

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Cited by in corpus (31)

• Terahertz field-driven magnon upconversion in an antiferromagnet
• Cavity magnon-polaritons in cuprate parent compounds
• Near-infrared light-induced superconducting-like state in underdoped YBa${}_2$Cu${}_3$O${}_y$ studied by $c$-axis terahertz third-harmonic generation
• Periodic dynamics in superconductors induced by an impulsive optical quench
• A phase diagram for light-induced superconductivity in $\kappa$-(ET)${}_2$-X
• Generalized plasma waves in layered superconductors
• Parametrically amplified phase-incoherent superconductivity in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Fluctuating Nature of Light-Enhanced $d$-Wave Superconductivity: A Time-Dependent Variational Non-Gaussian Exact Diagonalization Study
• Generalized Josephson plasmons in bilayer superconductors
• Polaritonic Quantum Matter
• Cavity engineering of Hubbard $U$ via phonon polaritons
• Local Fluctuations in Cavity Control of Ferroelectricity
• Revealing the frequency-dependent oscillations in the nonlinear terahertz response induced by the Josephson current
• Graphene as a source of entangled plasmons
• Superconducting-like response in driven systems near the Mott transition
• Photo-induced superconducting-like response in strongly correlated systems
• Squeezed Josephson plasmons in driven YBa${}_2$Cu${}_3$O${}_{6+x}$
• Theory of time-crystalline behaviour mediated by phonon squeezing in Ta2NiSe5
• Relaxation timescales and electron-phonon coupling in optically-pumped YBa${}_2$Cu${}_3$O${}_{6+x}$ revealed by time-resolved Raman scattering
• Ghost Josephson plasmon in bilayer superconductors
• Equilibrium Parametric Amplification in Raman-Cavity Hybrids
• Two-fluid dynamics in driven YBa${}_2$Cu${}_3$O${}_{6.48}$
• Ultrafast Raman thermometry in driven YBa${}_2$Cu${}_3$O${}_{6.48}$
• Dynamics of photo-induced ferromagnetism in oxides with orbital degeneracy
• Charge density response in layered metals: retardation effects, generalized plasma waves and their spectroscopic signatures
• Parametric control of Meissner screening in light-driven superconductors
• Terahertz amplifiers based on gain reflectivity in cuprate superconductors
• Signatures of three-dimensional photo-induced superconductivity in YBa${}_2$Cu${}_3$O${}_{6.48}$
• Dynamical Approach to Realize Room-Temperature Superconductivity in LaH${}_{10}$
• Two-dimensional THz spectroscopy in electronic systems: a many-body diagrammatic approach
• Enhanced coherent terahertz emission from critical superconducting fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$