Dynamical synchronization transition in interacting electron systems

Abstract

Synchronization is a ubiquitous phenomenon in nature and we propose its new perspective in ultrafast dynamics in interacting electron systems. In particular, using graphene irradiated by an intense bi-circular pulse laser as a prototypical and experimental viable example, we theoretically investigate how to selectively generate a coherent oscillation of electronic order such as charge density waves (CDW). The key is to use tailored fields that match the crystalline symmetry broken by the target order. After the pump, a macroscopic number of electrons start oscillating and coherence is built up through a transition. The resulting physics is detectable as a coherent light emission at the synchronization frequency and may be used as a purely electronic way of realizing Floquet states respecting exotic space time crystalline symmetries. In the process, we also explore possible flipping of existing static CDW orders and generation of higher harmonics. The general framework for the coherent electronic order is found to be analogous with the celebrated Kuramoto model, describing the classical synchronization of coupled pendulums.

18 pages, 12 of which entail appendices, 10 figures. New Version contains substantial revision

References in corpus (20)

• The electronic properties of graphene
• Topological Crystalline Insulators
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Floquet Engineering of Quantum Materials
• Electrodynamics of Correlated Electron Materials
• The space group classification of topological band insulators
• Topological Mott Insulators
• Interactions and phase transitions on graphene's honeycomb lattice
• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Topological Transition in a Non-Hermitian Quantum Walk
• Amplitude / Higgs Modes in Condensed Matter Physics
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Stability diagram for the forced Kuramoto model
• Modulated Floquet Topological Insulators
• Radiation effects on the electronic structure of bilayer graphene
• The translational side of topological band insulators
• Current injection by coherent one- and two-photon excitation in graphene and its bilayer
• Holographic Floquet states II: Floquet condensation of vector mesons in nonequilibrium phase diagram

Cited by in corpus (46)

• Topological Euler class as a dynamical observable in optical lattices
• Lightwave topology for strong-field valleytronics
• High-Harmonic Generation in a Correlated Electron System
• High-harmonic generation from few layer hexagonal boron nitride: evolution from the monolayer to the bulk response
• Bicircular light tuning of magnetic symmetry and topology in Dirac semimetal Cd${}_3$As${}_2$
• Floquet topological phase transitions in a periodically quenched dimer
• High-harmonic generation by electric polarization, spin current, and magnetization
• Floquet Weyl semimetal phases in light-irradiated higher-order topological Dirac semimetals
• Geometric aspects of nonlinear and nonequilibrium phenomena
• Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system
• Systematic generation of the cascade of anomalous dynamical first and higher-order modes in Floquet topological insulators
• Topological Floquet engineering using two frequencies in two dimensions
• Disorder Effects on the Origin of High-Order Harmonic Generation in Solids
• Photocurrent induced by a bicircular light drive in centrosymmetric systems
• Dynamical construction of Quadrupolar and Octupolar topological superconductors
• Engineering Floquet topological phases using elliptically polarized light
• Floquet engineering of electric polarization with two-frequency drive
• Dynamics of fluctuation correlation in periodically driven classical system
• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Topological phase transition in commensurate multi-frequency Floquet Su-Schrieffer-Heeger model
• Energy-band echoes: Time-reversed light emission from optically driven quasiparticle wavepackets
• High harmonic generation from electrons moving in topological spin textures
• Anomalous Floquet Phases. A resonance phenomena
• Light-induced large and tunable valley-selective Hall effect in a centrosymmetric system
• Controllable photocurrent generation in Dirac systems with two frequency drives
• Light-Induced Mirror Symmetry Breaking and Charge Transport
• Two-color laser control of photocurrent and high harmonics in graphene
• Controllable Floquet edge modes in a multi-frequency driving system
• Global Topological Dirac Synchronization
• From linear to circular polarized light -- Floquet engineering in Kitaev-Heisenberg materials with Lissajous figures
• The Future of the Correlated Electron Problem
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Fano resonances for tilted linear and quadratic band touching dispersions in a harmonically driven potential well
• Theory for Fourier-limited attosecond pulse generation in solids
• Topological semimetal with coexisting nodal points and nodal lines
• Statistical prethermalization in randomly kicked many-body classical rotor system
• Competition between Interactions and Randomness in Photoinduced Synchronization of Charge Oscillations on a Dimer Lattice
• Optical amplification in a CDW-phase of a quasi-two dimensional material
• Fano resonances in tilted Weyl semimetals in an oscillating quantum well
• Mechanism for Synchronization of Charge Oscillations in Dimer Lattices
• Floquet second-order topological insulator in strained graphene
• Phase transition from Weyl to self-linked semimetal using bi-circular laser
• Topological energy pumping in a quasi-periodically driven four-level system
• Onsager Reciprocal Relations for Charge and Spin Transport in Periodically Driven Systems