High-harmonic generation approaching the quantum critical point of strongly correlated systems

Abstract

By employing the exact diagonalization method, we investigate the high-harmonic generation (HHG) of the correlated systems under the strong laser irradiation. For the extended Hubbard model on a periodic chain, HHG close to the quantum critical point (QCP) is more significant compared to two neighboring gapped phases (i.e., charge-density-wave and spin-density wave states), especially in low-frequencies. We confirm that the systems in the vicinity of the QCP are supersensitive to the external field and more optical-transition channels via excited states are responsible for HHG. This feature holds the potential of obtaining high-efficiency harmonics by making use of materials approaching to QCP. Based on two-dimensional Haldane model, we further propose that the even- or odd-order components of generated harmonics can be promisingly regarded as spectral signals to distinguish the topologically ordered phases from locally ordered ones. Our findings in this work pave the way to achieve ultrafast light source from HHG in strongly correlated materials and to study quantum phase transition by nonlinear optics in strong laser fields.

9 pages, 8 figures

References in corpus (7)

• Interaction effects and quantum phase transitions in topological insulators
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Detection of quantum critical points by a probe qubit
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• The quasi-normal modes of quantum criticality
• Critical capacitance and charge-vortex duality near the superfluid to insulator transition
• Dynamical response near quantum critical points

Cited by in corpus (29)

• High Harmonic Generation by Bright Squeezed Vacuum
• Strong laser physics, non-classical light states and quantum information science
• Anomalous temperature dependence of high-harmonic generation in Mott insulators
• Electron-correlation induced nonclassicallity of light from high-harmonic generation
• High-Harmonic Spectroscopy of Coherent Lattice Dynamics in Graphene
• Excitonic effects on high-harmonic generation in Mott insulators
• Photo-induced nonequilibrium states in Mott insulators
• Doping and gap-size dependence of high-harmonic generation in graphene : Importance of consistent formulation of light-matter coupling
• Detecting Majorana Zero Modes via Strong Field Dynamics
• High-order nonlinear terahertz probing of the two-band superconductor MgB${}_2$: Third- and fifth-order harmonic generation
• Doping effects in high-harmonic generation from correlated systems
• Multiband dynamics of extended harmonic generation in solids under ultraviolet injection
• Optical Distinguishability of Mott Insulators in Time vs Frequency Domain
• Extended high-harmonic spectra through cascade resonance in confined quantum systems
• High harmonic generation from electrons moving in topological spin textures
• Pump-probe spectroscopy of the one-dimensional extended Hubbard model at half filling
• Many-body effects on high-harmonic generation in Hubbard ladders
• Strong terahertz third-harmonic generation by kinetic heavy quasiparticles in CaRuO${}_3$
• Efficient Control of High Harmonic Generation in Carbon Nanotubes using the Aharonov-Bohm Effect
• Theory for Fourier-limited attosecond pulse generation in solids
• Triplons, triplon pairs and dynamical symmetries in laser-driven Shastry-Sutherland magnets
• Unconventional gap dependence of high harmonic generation in the extremely strong light-matter coupling regime
• Frequency-selective amplification of nonlinear response in strongly correlated bosons
• Time-resolved single-particle spectrum of the one-dimensional extended Hubbard model after interaction quenches
• Terahertz harmonic generation across the Mott insulator-metal transition
• High Harmonic Tracking of Ultrafast Electron Dynamics across the Mott to Charge Density Wave Phase Transition
• Tracking doublon-holon dynamics in high-harmonic generation from Mott insulators
• Revealing the anisotropic charge-density-wave order of TiSe${}_2$ through high harmonic generation
• Time- and angle-resolved photoelectron spectroscopy of strong-field light-dressed solids: prevalence of the adiabatic band picture