Photo-induced nonequilibrium states in Mott insulators

Abstract

The study of nonequilibrium phenomena in interacting lattice systems can provide new perspectives on correlation effects, and information on metastable states of matter. Mott insulators are a promising class of systems for nonequilibrium studies, since they exhibit exotic phenomena and complex phase diagrams upon doping, and because a large Mott gap provides protection against fast thermalization and heating after photo-excitations. We can thus expect the emergence of interesting transient states and photo-induced phases in Mott systems. This review presents the current understanding of the mechanisms which control the time evolution of photo-doped charge carriers and the properties of photo-induced metastable states. We focus on recent theoretical progress, identify the relevant underlying concepts, and link them to experimental observations. The review starts with a general discussion of field-induced nonequilibrium setups and an overview of key experiments which revealed characteristic properties of photo-excited Mott states, proceeds with a compact overview of the theoretical tools which have been developed to investigate these strongly correlated nonequilibrium states, and then analyzes Mott insulators driven out of equilibrium by static electric fields, periodic fields, and short laser pulses. We also discuss the appearance of nonthermal electronic orders in photo-excited Mott systems, including nonthermal spin and orbital orders, $\eta$ pairing states, and novel types of excitonic orders.

Review article

References in corpus (154)

• Many-Body Physics with Ultracold Gases
• The density-matrix renormalization group in the age of matrix product states
• Theoretical perspective on the glass transition and amorphous materials
• Continuous-time Monte Carlo methods for quantum impurity models
• The numerical renormalization group method for quantum impurity systems
• Photovoltaic Hall effect in graphene
• Real time evolution using the density matrix renormalization group
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Strong electronic correlations from Hund's coupling
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Equilibrium states of generic quantum systems subject to periodic driving
• Nonlinear lattice dynamics as a basis for enhanced superconductivity in YBa2Cu3O6.5
• Interaction Quench in the Hubbard model
• Dynamical phase transition in correlated fermionic lattice systems
• Metastable ferroelectricity in optically strained $SrTi{O}_3$
• Real-time path integral approach to nonequilibrium many-body quantum system
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Spin freezing transition and non-Fermi-liquid self-energy in a 3-orbital model
• Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
• Theoretical description of time-resolved photoemission spectroscopy: application to pump-probe experiments
• Nonlinear light-matter interaction at terahertz frequencies
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Quantum critical dynamics in a 5000-qubit programmable spin glass
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Strongly-Correlated Electron-Photon Systems
• High-spin to low-spin and orbital polarization transitions in multiorbital Mott systems
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Correlated electron systems periodically driven out of equilibrium: Floquet + DMFT formalism
• Modeling the Unconventional Superconducting Properties of Expanded A${}_3$C${}_{60}$ Fullerides
• Nonthermal steady states after an interaction quench in the Falicov-Kimball model
• Disentangling the electronic and phononic glue in a high-Tc superconductor
• Dynamical vanishing of the order parameter in a fermionic condensate
• Screening and Non-local Correlations in the Extended Hubbard Model from Self-Consistent Combined GW and Dynamical Mean Field Theory
• Quantum quench of the Sachdev-Ye-Kitaev Model
• Optically induced superconductivity in striped La2-xBaxCuO4 by polarization-selective excitation in the near infrared
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Time- and Angle-Resolved Photoemission Studies of Quantum Materials
• Nonthermal antiferromagnetic order and nonequilibrium criticality in the Hubbard model
• Many-Body Localization in the Age of Classical Computing
• Oxide Heterostructures for Efficient Solar Cells
• Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive
• Cavity-mediated thermal control of metal-to-insulator transition in 1T-TaS${}_2$
• Solving nonequilibrium dynamical mean-field theory using matrix product states
• Buildup and dephasing of Floquet-Bloch bands on subcycle time scales
• Resistive switching induced by electronic avalanche breakdown in GaTa${}_4$Se${}_{8-x}$Te${}_x$ narrow gap Mott Insulators
• Ultrafast Structure Switching through Nonlinear Phononics
• Metastable superfluidity of repulsive fermionic atoms in optical lattices
• Bands, resonances, edge singularities and excitons in core level spectroscopy investigated within the dynamical mean field theory
• Snapshots of the retarded interaction of charge carriers with ultrafast fluctuations in cuprates
• Phonon driven Floquet matter
• Photo-induced states in a Mott insulator
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Multitier self-consistent $GW$+EDMFT
• The low-temperature highly correlated quantum phase in the charge-density-wave 1T-TaS_2 compound
• Non-equilibrium electronic transport in a one-dimensional Mott insulator
• Learning Feynman Diagrams with Tensor Trains
• Nonthermal symmetry broken states in the strongly interacting Hubbard model
• Photon-statistics force in ultrafast electron dynamics
• Steady-state nonequilibrium density of states of driven strongly correlated lattice models in infinite dimensions
• Relaxation dynamics of the Holstein polaron
• Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
• Self-consistent DFT+U method for real-space time-dependent density functional theory calculations
• Witnessing the formation and relaxation of massive quasi-particles in a strongly correlated electron system
• Tunneling Breakdown of a Strongly Correlated Insulating State in VO${}_2$ Induced by Intense Multi-Terahertz Excitation
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Optical freezing of charge motion in an organic conductor
• Ultrafast evolution and transient phases of the prototype out-of-equilibrium Mott-Hubbard material V2O3
• Theory of time-resolved optical spectroscopy on correlated electron systems
• Inchworm Monte Carlo for exact non-adiabatic dynamics II. Benchmarks and comparison with established methods
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• An efficient method for quantum impurity problems out of equilibrium
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• New theoretical approaches for correlated systems in nonequilibrium
• Field-induced polaron formation in the Holstein-Hubbard model
• Role of impact ionization in the thermalization of photo-excited Mott insulators
• Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain
• Hubbard exciton revealed by time-domain optical spectroscopy
• Measuring correlated electron dynamics with time-resolved photoemission spectroscopy
• Multiscale space-time ansatz for correlation functions of quantum systems based on quantics tensor trains
• Optical conductivity in cluster dynamical mean field theory: formalism and application to high temperature superconductors
• BCS theory of driven superconductivity
• Dynamical order and superconductivity in a frustrated many-body system
• Charge Recombination in Undoped Cuprates
• Anomalous temperature dependence of high-harmonic generation in Mott insulators
• Theory for Time-Resolved Resonant Inelastic X-ray Scattering
• High-harmonic generation in quantum spin systems
• Enhanced charge order in a photoexcited one-dimensional strongly correlated system
• Gauge invariance of light-matter interactions in first-principle tight-binding models
• Ultrafast separation of photo-doped carriers in Mott antiferromagnets
• Quantum Monte Carlo in the steady-state
• Evaluation of time-dependent correlators after a local quench in iPEPS: hole motion in the t-J model
• Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
• Correlation-induced superconductivity dynamically stabilized and enhanced by laser irradiation
• Unitary perturbation theory approach to real-time evolution problems
• Optoelectronic excitations and photovoltaic effect in strongly correlated materials
• Coupling-dependent rates of energy transfers from photoexcited Mott insulators to lattice vibrations
• Floquet engineering of Mott insulators with strong spin-orbit coupling
• Configuration interaction based nonequilibrium steady state impurity solver
• Near-infrared light-induced superconducting-like state in underdoped YBa${}_2$Cu${}_3$O${}_y$ studied by $c$-axis terahertz third-harmonic generation
• Photoinduced in-gap excitations in the one-dimensional extended Hubbard model
• Correlation effects in high-harmonic generation from finite systems
• Photoinduced $\eta$-pairing at finite temperatures
• Theory of Core-Level Photoemission and the X-ray Edge Singularity Across the Mott Transition
• Non-equilibrium gap-collapse near a first-order Mott transition
• Keldysh space control of charge dynamics in a strongly driven Mott insulator
• From sudden quench to adiabatic dynamics in the attractive Hubbard model
• Ultrafast lattice disordering can be accelerated by electronic collisional forces
• Probing Inhomogeneous Cuprate Superconductivity by Terahertz Josephson Echo Spectroscopy
• Memory truncated Kadanoff-Baym equations
• Witnessing nonequilibrium entanglement dynamics in a strongly correlated fermionic chain
• Photo-enhanced excitonic correlations in a Mott insulator with nonlocal interactions
• Simulation of time-dependent resonant inelastic X-ray scattering using non-equilibrium dynamical mean-field theory
• Spin, charge and $\eta$-spin separation in one-dimensional photo-doped Mott insulators
• Influence of spin and orbital fluctuations on Mott-Hubbard exciton dynamics in LaVO${}_3$ Thin Films
• Doping effects in high-harmonic generation from correlated systems
• A Hubbard exciton fluid in a photo-doped antiferromagnetic Mott insulator
• Transient localization from the interaction with quantum bosons
• Nonequilibrium Two-Particle Self-Consistent Approach
• Photoinduced absorptions inside the Mott gap in the two-dimensional extended Hubbard model
• Nonequilibrium propagation and decay of a bound pair in driven t-J models
• Photo-induced charge dynamics in 1$T$-TaS${}_2$
• Photo-Induced Dynamics in Charge-Frustrated Systems
• Light-induced switching between singlet and triplet superconducting states
• Symmetry of Photoexcited States and Large-Shift Raman Scattering in Two-Dimensional Mott Insulators
• Strong coupling impurity solver based on quantics tensor cross interpolation
• Decoupling of static and dynamic criticality in a driven Mott insulator
• Nature of Bosonic Excitations revealed by high-energy charge carriers
• Non-thermal superconductivity in photo-doped multi-orbital Hubbard systems
• Light-induced insulator-metal transition in Sr${}_2$IrO${}_4$ reveals the nature of the insulating ground state
• Impact ionization processes in a photodriven Mott insulator: influence of phononic dissipation
• Time-dependent ghost-Gutzwiller non-equilibrium dynamics
• Photo-induced charge-transfer renormalization in NiO
• Light-induced magnetization driven by interorbital charge motion in a spin-orbit assisted Mott insulator alpha-RuCl3
• Correlated Mott insulators in strong electric fields: Role of phonons in heat dissipation
• Many-body recombination in insulating cuprates
• Photo-induced Ferromagnetic and Superconducting Orders in Multi-orbital Hubbard Models
• Solving quantum impurity problems on the L-shaped Kadanoff-Baym contour
• Suppression of Heating by Multi-color Driving Protocols in Floquet Engineered Strongly Correlated Systems
• High harmonic generation from electrons moving in topological spin textures
• Wannier-Stark ladders and Stark shifts of excitons in Mott insulators
• Nature of the photo-induced metallic state in monoclinic VO${}_2$
• Energy-band echoes: Time-reversed light emission from optically driven quasiparticle wavepackets
• Local interpretation of time-resolved X-ray absorption in Mott insulators: Insights from nonequilibrium dynamical mean-field theory
• Periodically-driven Kondo impurity in nonequilibrium steady states
• Correlated Mott insulators in a strong electric field: The effects of phonon renormalization
• Many-body effects on high-harmonic generation in Hubbard ladders
• Control of Yu-Shiba-Rusinov States through a Bosonic Mode
• Photoinduced $\eta$-pairing correlation in the Hubbard ladder
• Photo-induced insulator-metal transition in paramagnetic (V${}_{1-x}$Cr${}_x$)${}_2$O${}_3$
• Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model
• Measuring the ultrafast screening of $U$ in photo-excited charge-transfer insulators with time-resolved X-ray absorption spectroscopy
• Photoinduced Pseudospin Polarization in a Three-Orbital Hubbard Model

Cited by in corpus (17)

• Many-Body Open Quantum Systems
• Extreme disorder in crystalline perovskite oxide: a new paradigm in quantum materials research
• A new pathway to impact ionization in a photo-excited one-dimensional ionic Hubbard model
• Third-order strong-coupling impurity solver for real-frequency DMFT: Accurate spectral functions for antiferromagnetic and photo-doped states
• Photoengineering the Magnon Spectrum in an Insulating Antiferromagnet
• Nonclassical dynamics of Néel vector and magnetization accompanied by THz and high-harmonic radiation from ultrafast-light-driven NiO antiferromagnet insulator
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• A light-induced charge order mode in a metastable cuprate ladder
• Tracking doublon-holon dynamics in high-harmonic generation from Mott insulators
• Photoemission Signatures of Photoinduced Carriers and Excitons in One-Dimensional Mott Insulators
• Optically induced magnetic inertia and magnons from non-Markovian extension of the Landau-Lifshitz-Gilbert equation
• Nonequilibrium hysteretic phase transitions in periodically light-driven superconductors
• Dynamical correlations and nonequilibrium sum rules in photodoped Hubbard ladders
• Tangent equations of motion for nonlinear response functions
• Charge carrier relaxation dynamics in the one-dimensional Kondo lattice model
• Photoinduced excitonic magnetism in a multiorbital Hubbard system
• Laser-Induced Commensurate-Incommensurate Transition of Charge Order in a Hubbard Superlattice