High-harmonic generation in one-dimensional Mott insulator
arXiv:2010.13255 · doi:10.1103/PhysRevB.103.035110
Abstract
We study high-harmonic generation (HHG) in the one-dimensional Hubbard model in order to understand its relation to elementary excitations as well as the similarities and differences to semiconductors. The simulations are based on the infinite time-evolving block decimation (iTEBD) method and exact diagonalization. We clarify that the HHG originates from the doublon-holon recombination, and the scaling of the cutoff frequency is consistent with a linear dependence on the external field. We demonstrate that the subcycle features of the HHG can be reasonably described by a phenomenological three step model for a doublon-holon pair. We argue that the HHG in the one-dimensional Mott insulator is closely related to the dispersion of the doublon-holon pair with respect to its relative momentum, which is not necessarily captured by the single-particle spectrum due to the many-body nature of the elementary excitations. For the comparison to semiconductors, we introduce effective models obtained from the Schrieffer-Wolff transformation, i.e. a strong-coupling expansion, which allows us to disentangle the different processes involved in the Hubbard model: intraband dynamics of doublons and holons, interband dipole excitations, and spin exchanges. These demonstrate the formal similarity of the Mott system to the semiconductor models in the dipole gauge, and reveal that the spin dynamics, which does not directly affect the charge dynamics, can reduce the HHG intensity. We also show that the long-range component of the intraband dipole moment has a substantial effect on the HHG intensity, while the correlated hopping terms for the doublons and holons essentially determine the shape of the HHG spectrum. A new numerical method to evaluate single-particle spectra within the iTEBD method is also introduced.
arXiv comment15 pages, 9 figures (accepted to PRB)
References in corpus (52)
- Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Real-time observation of interfering crystal electrons in high-harmonic generation
- High harmonic generation from Bloch electrons in solids
- Impact of the electronic band structure in high-harmonic generation spectra of solids
- Dynamical Correlation Functions using the Density Matrix Renormalization Group
- Symmetries and selection rules in Floquet systems: application to harmonic generation in nonlinear optics
- High harmonic imaging of ultrafast many-body dynamics in strongly correlated systems
- Ellipticity dependence of high-harmonic generation in solids: unraveling the interplay between intraband and interband dynamics
- High-harmonic generation in amorphous solids
- Ab-initio multi-scale simulation of high-harmonic generation in solids
- Ultrafast modification of Hubbard in a strongly correlated material: ab initio high-harmonic generation in NiO
- Strong-Field Perspective on High-Harmonic Radiation from Bulk Solids
- Efficient Terahertz Harmonic Generation with Coherent Acceleration of Electrons in the Dirac Semimetal Cd3As2
- Interband resonant high-harmonic generation by valley polarized electron-hole pairs
- High-Harmonic Generation in Mott Insulators
- Circular dichroism in high-order harmonic generation: Heralding topological phases and transitions in Chern insulators
- Electromagnetic coupling in tight-binding models for strongly correlated light and matter
- Trajectory analysis of high-harmonic generation from periodic crystals
- Wannier-Bloch approach to localization in high harmonics generation in solids
- Diabatic Mechanisms of Higher-Order Harmonic Generation in Solid-State Materials under High-Intensity Electric Fields
- Non-linear doublon production in a Mott insulator --- Landau-Dykhne method applied to an integrable model
- High-order commutator-free exponential time-propagation of driven quantum systems
- Nonlinear optical response and spin-charge separation in one-dimensional Mott insulators
- Infinite boundary conditions for matrix product state calculations
- Determination of Electron Band Structure using Temporal Interferometry
- Theoretical description of high-order harmonic generation in solids
- High-Harmonic Generation in a Correlated Electron System
- High-order harmonic generation in solid slabs beyond the single active electron
- Enhanced high-order harmonic generation in donor-doped band-gap materials
- Mechanism of Ultrafast Relaxation of a Photo-Carrier in Antiferromagnetic Spin Background
- Angle-resolved photoemission spectroscopy with quantum gas microscopes
- --paired superconducting hidden phase in photodoped Mott insulators
- High-harmonic generation in alpha-quartz by the electron-hole recombination
- Nonequilibrium steady states of electric-field driven Mott insulators
- Spin and charge dynamics of the one-dimensional extended Hubbard model
- High-harmonic generation in quantum spin systems
- High-harmonic generation by electric polarization, spin current, and magnetization
- Multiple amplitude modes in strongly-coupled phonon-mediated superconductors
- High harmonic generation tomography of impurities in solids: conceptual analysis
- Ultrafast nonequilibrium evolution of excitonic modes in semiconductors
- Time-dependent Hartree-Fock study of electron-hole interaction effects on high-harmonic generation from periodic crystals
- Exact results for the optical absorption of strongly correlated electrons in a half-filled Peierls-distorted chain
- Enhanced pairing susceptibility in a photo-doped two-orbital Hubbard model
- Signatures of bosonic excitations in high-harmonic spectra of Mott insulators
- Dielectric breakdown in spin polarized Mott insulator
- High-harmonic generation in spin-orbit coupled systems
- Disorder Effects on the Origin of High-Order Harmonic Generation in Solids
- Time and momentum-resolved tunneling spectroscopy of pump-driven non-thermal excitations in Mott insulators
- Topological transition between competing orders in quantum spin chains
- Quantized excitation spectra by magnon confinement in quasi-one-dimensional S=1 spin systems
- Ultrafast modification of the electronic structure of a correlated insulator
Cited by in corpus (44)
- Introduction to theory of high-harmonic generation in solids: tutorial
- High-order Harmonic Generation and its Unconventional Scaling Law in the Mott-insulating
- High-harmonic generation approaching the quantum critical point of strongly correlated systems
- Strong laser physics, non-classical light states and quantum information science
- Anomalous temperature dependence of high-harmonic generation in Mott insulators
- Signatures of multi-band effects in high-harmonic generation in monolayer MoS
- Exploring nonequilibrium phases of photo-doped Mott insulators with Generalized Gibbs ensembles
- Electron-correlation induced nonclassicallity of light from high-harmonic generation
- Correlation effects in high-harmonic generation from finite systems
- Photo-induced nonequilibrium states in Mott insulators
- Excitonic effects on high-harmonic generation in Mott insulators
- Doping and gap-size dependence of high-harmonic generation in graphene : Importance of consistent formulation of light-matter coupling
- Doping effects in high-harmonic generation from correlated systems
- Optimal Hamiltonian simulation for time-periodic systems
- Edge-state and bulk-like laser-induced correlation effects in high-harmonic generation from a linear chain
- Hierarchy of approximations for describing quantum light from high-harmonic generation: A Fermi-Hubbard model study
- Noninteger high-harmonic generation from extended correlated systems
- Suppression of Heating by Multi-color Driving Protocols in Floquet Engineered Strongly Correlated Systems
- Berry curvature and shift vector effects at high-order wave mixing in biased bilayer graphene
- High harmonic generation from electrons moving in topological spin textures
- Energy-band echoes: Time-reversed light emission from optically driven quasiparticle wavepackets
- Pump-probe spectroscopy of the one-dimensional extended Hubbard model at half filling
- Quantum algorithms for Schrieffer-Wolff transformation
- Many-body effects on high-harmonic generation in Hubbard ladders
- Extracting Nonlinear Dynamical Response Functions from Time Evolution
- Keldysh crossover in one-dimensional Mott insulators
- Efficient Control of High Harmonic Generation in Carbon Nanotubes using the Aharonov-Bohm Effect
- Theory for Fourier-limited attosecond pulse generation in solids
- Dominant role of charge ordering on high harmonic generation in Pr_{0.6}Ca_{0.4}MnO_{3}
- Nonclassical dynamics of Néel vector and magnetization accompanied by THz and high-harmonic radiation from ultrafast-light-driven NiO antiferromagnet insulator
- Input-Output Optics as a Causal Time Series Mapping: A Generative Machine Learning Solution
- Unconventional gap dependence of high harmonic generation in the extremely strong light-matter coupling regime
- Non-linear response of interacting bosons in a quasiperiodic potential
- Non-Uniqueness of Non-Linear Optical Response
- Terahertz harmonic generation across the Mott insulator-metal transition
- Charge creation via quantum tunneling in one-dimensional Mott insulators: A numerical study of the extended Hubbard model
- Visualizing spinon Fermi surfaces with time-dependent spectroscopy
- Second-order magnetic responses in quantum magnets: Magnetization under ac magnetic fields
- High Harmonic Generation in Two-Dimensional Mott Insulators
- Tracking doublon-holon dynamics in high-harmonic generation from Mott insulators
- DC electric field driven discretization of single-particle excitation spectra in a Mott insulator
- High Harmonic Tracking of Ultrafast Electron Dynamics across the Mott to Charge Density Wave Phase Transition
- Interaction enhanced inter-site hoppings for holons and interlayer exciton insulators in moiré correlated insulators
- Revealing the anisotropic charge-density-wave order of TiSe through high harmonic generation