Optical Distinguishability of Mott Insulators in Time vs Frequency Domain

Abstract

High Harmonic Generation (HHG) promises to provide insight into ultrafast dynamics and has been at the forefront of attosecond physics since its discovery. One class of materials that demonstrate HHG are Mott insulators whose electronic properties are of great interest given their strongly-correlated nature. Here, we use the paradigmatic representation of Mott insulators, the half-filled Fermi-Hubbard model, to investigate the potential of using HHG response to distinguish these materials. We develop an analytical argument based on the Magnus expansion approximation to evolution by the Schrodinger equation that indicates decreased distinguishability of Mott insulators as lattice spacing, $a$, and the strength of the driving field, $F_0$, increase relative to the frequency, ${\omega }_0$. This argument is then bolstered through numerical simulations of different systems and subsequent comparison of their responses in both the time and frequency domain. Ultimately, we demonstrate reduced resolution of Mott insulators in both domains when the dimensionless parameter $g\equiv a{F}_0/{\omega }_0$ is large, though the time domain provides higher distinguishability. Conductors are exempted from these trends, becoming much more distinguishable in the frequency domain at high $g$.

9 pages, 5 figures

References in corpus (9)

• The Magnus expansion and some of its applications
• Attosecond physics at the nanoscale
• Non-Uniqueness of Parameters Extracted from Resonant Second-Order Nonlinear Optical Spectroscopies
• Distinguishing a Mott Insulator from a Trivial Insulator with Atomic Adsorbates
• High-harmonic generation approaching the quantum critical point of strongly correlated systems
• Making Distinct Dynamical Systems Appear Spectrally Identical
• Optical Indistinguishability via Twinning Fields
• Sequential optical response suppression for chemical mixture characterization
• Non-Uniqueness of Non-Linear Optical Response

Cited by in corpus (7)

• Anomalous temperature dependence of high-harmonic generation in Mott insulators
• Electron-correlation induced nonclassicallity of light from high-harmonic generation
• Doping effects in high-harmonic generation from correlated systems
• Noninteger high-harmonic generation from extended correlated systems
• Many-body effects on high-harmonic generation in Hubbard ladders
• Tracking doublon-holon dynamics in high-harmonic generation from Mott insulators
• High Harmonic Tracking of Ultrafast Electron Dynamics across the Mott to Charge Density Wave Phase Transition