Relaxation dynamics of the Holstein polaron

Abstract

Keeping the full quantum nature of the problem we compute the relaxation time of the Holstein polaron after it was driven far from the equilibrium by a strong oscillatory pulse. Just after the pulse the polaron's kinetic energy increases and subsequently exhibits relaxation type decrease with simultaneous emission of phonons. In the weak coupling regime partial tunneling of the electron from the polaron self-potential is observed. The inverse relaxation time is for small values of electron-phonon coupling $\lambda$ linear with $\lambda$, while it deviates downwards from the linear regime at $\lambda \gtrsim 0.1/{\omega }_0$. The imaginary part of the equilibrium self energy shows good agreement with the inverse relaxation time obtained from nonequilibrium simulations.

5 pages, 3 figures

References in corpus (18)

• The Holstein Polaron
• Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
• Ultrafast transient generation of spin-densitywave order in the normal state of BaFe2As2 driven by coherent lattice vibrations
• Disentangling the electronic and phononic glue in a high-Tc superconductor
• Electron-Phonon Coupling in High-Temperature Cuprate Superconductors Determined from Electron Relaxation Rates
• Lifetime of double occupancies in the Fermi-Hubbard model
• Thermalization of a pump-excited Mott insulator
• Dimensionality effects on the Holstein polaron
• Electron relaxation in metals: Theory and exact analytical solutions
• Quasiparticle relaxation dynamics in heavy fermion compounds
• Quantum Dynamics of the Hubbard-Holstein Model in Equilibrium and Non-Equilibrium: Application to Pump-Probe Phenomena
• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Inelastic quantum transport in superlattices: success and failure of the Boltzmann equation
• Inelastic Quantum Transport
• Relaxation Dynamics of Photocarriers in One-Dimensional Mott Insulators Coupled to Phonons
• Dissociation of a Hubbard--Holstein bipolaron driven away from equilibrium by a constant electric field
• Spatiotemporal evolution of polaronic states in finite quantum systems
• Emergence of states in the phonon spectral function of the Holstein polaron below and above the one-phonon continuum

Cited by in corpus (57)

• Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach
• Theory of light-enhanced phonon-mediated superconductivity
• Eigenstate thermalization and quantum chaos in the Holstein polaron model
• Ultrafast doublon dynamics in photo-excited 1T-TaS${}_2$
• Real-Time Dynamics of an Impurity in an Ideal Bose Gas in a Trap
• Mobility of Holstein polaron: an unbiased approach
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Matrix-product-state method with a dynamical local basis optimization for bosonic systems out of equilibrium
• Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model
• Field-induced polaron formation in the Holstein-Hubbard model
• Numerical method to compute optical conductivity based on pump-probe simulations
• Role of impact ionization in the thermalization of photo-excited Mott insulators
• A unification of the Holstein polaron and dynamic disorder pictures of charge transport in organic semiconductors
• Dynamics of screening in photo-doped Mott insulators
• Charge-density-wave melting in the one-dimensional Holstein model
• Entropy-cooled nonequilibrium states of the Hubbard model
• Polaron dynamics with off-diagonal coupling: beyond the Ehrenfest approximation
• Ultrafast coupled charge and spin dynamics in strongly correlated NiO
• Nonequilibrium GW+EDMFT: Antiscreening and inverted populations from nonlocal correlations
• Truncating the memory time in nonequilibrium DMFT calculations
• Emergent ultrafast phenomena in correlated oxides and heterostructures
• Hund's coupling driven photo-carrier relaxation in the two-band Mott insulator
• Coexistence of excited polarons and metastable delocalized states in photo-induced metals
• Strain-induced enhancement of the electron energy relaxation in strongly correlated superconductors
• Time-linear scaling NEGF methods for real-time simulations of interacting electrons and bosons. II. Dynamics of polarons and doublons
• Photo-induced nonequilibrium states in Mott insulators
• Coupled charge and spin dynamics in a photo-excited Mott insulator
• Ultrafast Dynamics of Vibrational Symmetry Breaking in a Charge-ordered Nickelate
• Photoinduced charge-order melting dynamics in a one-dimensional interacting Holstein model
• Polaron formation: Ehrenfest dynamics vs. exact results
• Unusual Two-stage Dynamics of the Spin-Lattice Polaron Formation
• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• Delocalized charge carriers in strongly disordered t-J model
• Polaronic effects in one- and two-band quantum systems
• Effective doublon and hole temperatures in the photo-doped dynamic Hubbard model
• Optical response of laser-driven charge-transfer complex described by Holstein-Hubbard model coupled to heat baths: Hierarchical equations of motion approach
• Quantum dynamics of the small-polaron formation in a superconducting analog simulator
• Thermalization after photoexcitation from the perspective of optical spectroscopy
• Drift of Charge Carriers in Crystalline Organic Semiconductors
• Machine learning for phase ordering dynamics of charge density waves
• Nonequilibrium Electron Dynamics In Pump-Probe Spectroscopy: Role Of Excited Phonon Populations
• Anomalous transport of small polarons arises from transient lattice relaxation or immovable boundaries
• "Quantum bipolaron" superconductivity from quadratic electron-phonon coupling
• Nature of Bosonic Excitations revealed by high-energy charge carriers
• Non-thermal superconductivity in photo-doped multi-orbital Hubbard systems
• Phonon-induced breakdown of Thouless pumping in the Rice-Mele-Holstein model
• Decoherence and Energy Relaxation in the Quantum-Classical Dynamics for Charge Transport in Organic Semiconducting Crystals: an Instantaneous Decoherence Correction Approach
• Dynamics of the one-dimensional Anderson insulator coupled to various bosonic baths
• Charge and spin correlations of a Peierls insulator after a quench
• Optical manipulation of bipolarons in a system with nonlinear electron-phonon coupling
• Exciton transport enhancement across quantum Su-Schrieffer-Heeger lattices with quartic nonlinearity
• Long-lived non-thermal states in pumped one-dimensional systems of hard-core bosons
• Summing Real Time Feynman Paths of Lattice Polaron with Matrix Product States
• Energy flow during relaxation in an electron-phonon system with multiple modes: A nonequilibrium Green's function study
• paces: Parallelized Application of Co-Evolving Subspaces, a method for computing quantum dynamics on GPUs
• Charge carrier relaxation dynamics in the one-dimensional Kondo lattice model