Time evolution of the Kondo resonance in response to a quench

Abstract

We investigate the time evolution of the Kondo resonance in response to a quench by applying the time-dependent numerical renormalization group (TDNRG) approach to the Anderson impurity model in the strong correlation limit. For this purpose, we derive within TDNRG a numerically tractable expression for the retarded two-time nonequilibrium Green function $G(t+t^{\prime },t)$, and its associated time-dependent spectral function, $A(\omega ,t)$, for times $t$ both before and after the quench. Quenches from both mixed valence and Kondo correlated initial states to Kondo correlated final states are considered. For both cases, we find that the Kondo resonance in the zero temperature spectral function, a preformed version of which is evident at very short times $t\to 0^{+}$, only fully develops at very long times $t\gtrsim 1/T_{\mathrm{K}}$, where $T_{\mathrm{K}}$ is the Kondo temperature of the final state. In contrast, the final state satellite peaks develop on a fast time scale $1/\Gamma$ during the time interval $-1/\Gamma \lesssim t\lesssim +1/\Gamma$, where $\Gamma$ is the hybridization strength. Initial and final state spectral functions are recovered in the limits $t\to -\infty$ and $t\to +\infty$, respectively. Our formulation of two-time nonequilibrium Green functions within TDNRG provides a first step towards using this method as an impurity solver within nonequilibrium dynamical mean field theory.

arXiv comment6 pages, 4 figures, the sum-rule problem at negative times in the first version is fixed, and supplementary material is added

References in corpus (57)

• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Continuous-time Monte Carlo methods for quantum impurity models
• The numerical renormalization group method for quantum impurity systems
• Low Temperature Transport through a Quantum Dot: The Anderson Model out of Equilibrium
• Nonequilibrium dynamical mean-field theory and its applications
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
• Ultrafast many-body interferometry of impurities coupled to a Fermi sea
• Nonequilibrium dynamical mean-field theory
• Numerical Renormalization Group Calculations for the Self-energy of the impurity Anderson model
• Finite temperature numerical renormalization group study of the Mott-transition
• Theoretical description of time-resolved photoemission spectroscopy: application to pump-probe experiments
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
• Charging Effects in Ultrasmall Quantum Dots in the Presence of Time-Varying Fields
• Renormalization-group study of Anderson and Kondo impurities in gapless Fermi systems
• Thermoelectric transport through strongly correlated quantum dots
• Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
• On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
• Non-Equilibrium Transport through a Kondo-Dot in a Magnetic Field: Perturbation Theory and Poor Man's Scaling
• How long does it take for the Kondo effect to develop?
• Spectral Properties of the Anderson Impurity Model, Comparison of Numerical Renormalization Group and Non--Crossing Approximation
• Spin-1/2 Kondo effect in an InAs nanowire quantum dot: the Unitary limit, conductance scaling and Zeeman splitting
• Orthogonality catastrophe as a consequence of qubit embedding in an ultra-cold Fermi gas
• Transient dynamics of the Anderson impurity model out of equilibrium
• Auxiliary master equation approach to non-equilibrium correlated impurities
• Green's functions from real-time bold-line Monte Carlo: spectral properties of the nonequilibrium Anderson impurity model
• Nonequilibrium Kondo model: Crossover from weak to strong coupling
• SU(3) orbital Kondo effect with ultracold atoms
• Realizing a Kondo-correlated state with ultracold atoms
• A renormalization group approach to time dependent transport through correlated quantum dots
• Theory of time-resolved optical spectroscopy on correlated electron systems
• Nonlinear response of Bloch electrons in infinite dimensions
• Quantum Antiferromagnets in Two Dimensions
• Crossover from Non-Equilibrium to Equilibrium Behavior in the Time-Dependent Kondo Model
• Hybrid NRG-DMRG approach to real-time dynamics of quantum impurity systems
• Voltage quench dynamics of a Kondo system
• Transport measurement of the orbital Kondo effect with ultracold atoms
• Wilson chains are not thermal reservoirs
• Universal lineshape of the Kondo zero-bias anomaly in a quantum dot
• A Numerical Renormalization Group approach to Non-Equilibrium Green's Functions for Quantum Impurity Models
• Hamiltonian-based impurity solver for nonequilibrium dynamical mean-field theory
• Generalization of the Time-Dependent Numerical Renormalization Group Method to Finite Temperatures and General Pulses
• Time-Dependent Numerical Renormalization Group Method for Multiple Quenches: Application to General Pulses and Periodic Driving
• Room Temperature Kondo effect in atom-surface scattering: dynamical 1/N approach
• Coherent control of correlated nanodevices: A hybrid time-dependent numerical renormalization-group approach to periodic switching
• Transient Carrier Dynamics in a Mott Insulator with Antiferromagnetic Order
• Bypassing the energy-time uncertainty in time-resolved photoemission
• Non-equilibrium steady state in a periodically driven Kondo model
• Many-body theory of the neutralization of strontium ions on gold surfaces
• Transport Characterization of Kondo-Correlated Single Molecule Devices
• Build-up of the Kondo effect from real-time 2PI effective action for the Anderson impurity model
• The Ohmic two-state system from the perspective of the interacting resonant level model: Thermodynamics and transient dynamics
• Inhomogeneous spectral moment sum rules for the retarded Green function and self-energy of strongly correlated electrons or ultracold fermionic atoms in optical lattices
• Extracting spectral properties from Keldysh Green functions
• Dynamic response of a spin-1/2 Kondo singlet
• Thermalization and dynamics in the single impurity Anderson model

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• Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain
• Solving quantum impurity problems in and out of equilibrium with variational approach
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• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• Neural network representation of electronic structure from $ab$ $initio$ molecular dynamics
• Nonequilibrium thermoelectric transport through vibrating molecular quantum dots
• Time-dependent numerical renormalization group method for multiple quenches: towards exact results for the long time limit of thermodynamic observables and spectral functions
• A scalable numerical approach to the solution of the Dyson equation for the non-equilibrium single-particle Green's function
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• Quench dynamics and relaxation of a spin coupled to interacting leads
• Quench dynamics of spin in quantum dots coupled to spin-polarized leads
• Nonequilibrium Kondo effect by equilibrium numerical renormalization group method: The hybrid Anderson model subject to a finite spin bias
• Dynamics of the Anderson impurity model: benchmarking a non-adiabatic exchange-correlation potential in time-dependent density functional theory
• Time-dependent spectral functions of the Anderson impurity model in response to a quench with application to time-resolved photoemission spectroscopy
• Semi-group influence matrices for non-equilibrium quantum impurity models
• Equilibrium and real-time properties of the spin correlation function in the two-impurity Kondo model
• Quench dynamics of the Kondo effect: transport across an impurity coupled to interacting wires
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• Self-energy method for time-dependent spectral functions of the Anderson impurity model within the time-dependent numerical renormalization group approach
• Restoring the continuum limit in the time-dependent numerical renormalization group approach
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Quench dynamics of Fano-like resonances in the presence of the on-dot superconducting pairing
• Mean Field Decoupling of Single Impurity Anderson Model through Auxiliary Majorana Fermions
• Many-body correlations in Floquet steady-states: Frequency-resolved renormalization group of the driven Anderson impurity