Parametric Amplification of a Terahertz Quantum Plasma Wave

Abstract

Many applications in photonics require all-optical manipulation of plasma waves, which can concentrate electromagnetic energy on sub-wavelength length scales. This is difficult in metallic plasmas because of their small optical nonlinearities. Some layered superconductors support weakly damped plasma waves, involving oscillatory tunneling of the superfluid between capacitively coupled planes. Such Josephson plasma waves (JPWs) are also highly nonlinear, and exhibit striking phenomena like cooperative emission of coherent terahertz radiation, superconductor-metal oscillations and soliton formation. We show here that terahertz JPWs in cuprate superconductors can be parametrically amplified through the cubic tunneling nonlinearity. Parametric amplification is sensitive to the relative phase between pump and seed waves and may be optimized to achieve squeezing of the order parameter phase fluctuations or single terahertz-photon devices.

25 pages, 9 figures

References in corpus (7)

• Real-time observation of interfering crystal electrons in high-harmonic generation
• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• Squeezed Optomechanics with Phase-matched Amplification and Dissipation
• A widely tunable parametric amplifier based on a SQUID array resonator
• Quantum limited amplification and entanglement in coupled nonlinear resonators
• Proposed parametric cooling of bilayer cuprate superconductors by terahertz excitation
• Generation of squeezed states of microwave radiation in a superconducting resonant circuit

Cited by in corpus (38)

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• Quantum Coherence Tomography of Lightwave Controlled Superconductivity
• Theory of enhanced interlayer tunneling in optically driven high $T_c$ superconductors
• Cavity-assisted mesoscopic transport of fermions: Coherent and dissipative dynamics
• Distinctive class of dissipation-induced phase transitions and their universal characteristics
• Theory of coherent oscillations detection in THz pump-probe spectroscopy: from phonons to electronic collective modes
• Higgs-mediated optical amplification in a non-equilibrium superconductor
• Parametric resonance of Josephson plasma waves: A theory for optically amplified interlayer superconductivity in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Emergent parametric resonances and time-crystal phases in driven BCS systems
• Cavity magnon-polaritons in cuprate parent compounds
• Revealing novel aspects of light-matter coupling in terahertz two-dimensional coherent spectroscopy: the case of the amplitude mode in superconductors
• Non-linear Terahertz Driving of Plasma Waves in Layered Cuprates
• Near-infrared light-induced superconducting-like state in underdoped YBa${}_2$Cu${}_3$O${}_y$ studied by $c$-axis terahertz third-harmonic generation
• Probing Inhomogeneous Cuprate Superconductivity by Terahertz Josephson Echo Spectroscopy
• Generalized plasma waves in layered superconductors
• Terahertz parametric amplification as a reporter of exciton condensate dynamics
• Multidimensional Terahertz Probes of Quantum Materials
• Coherent Emission from Surface Josephson Plasmons in Striped Cuprates
• Generalized Josephson plasmons in bilayer superconductors
• Terahertz third harmonic generation in c-axis La${}_{1.85}$Sr${}_{0.15}$CuO${}_4$
• Terahertz field control of interlayer transport modes in cuprate superconductors
• Interaction between macroscopic quantum systems and gravity
• Graphene as a source of entangled plasmons
• Revealing the frequency-dependent oscillations in the nonlinear terahertz response induced by the Josephson current
• Higgs mode mediated enhancement of interlayer transport in high-$T_c$ cuprate superconductors
• Observation of Shapiro steps in an ultracold atomic Josephson junction
• Ghost Josephson plasmon in bilayer superconductors
• Terahertz phase slips in striped La${}_{2-x}$Ba${}_x$CuO${}_4$
• Dynamics of photo-induced ferromagnetism in oxides with orbital degeneracy
• Optical control of the current-voltage relation in stacked superconductors
• 373 K Superconductors
• The effects of nonlinear damping on degenerate parametric amplification
• Intrinsic left-handed electromagnetic properties in anisotropic superconductors
• Effect of transport current on suppression of superconductivity with ultrashort laser pulse