Charge carrier relaxation dynamics in the one-dimensional Kondo lattice model

Abstract

A generic question in the field of ultrafast dynamics is concerned with the relaxation dynamics and the subsequent thermalization of optically excited charge carriers. Among several possible relaxation channels available in a solid-state system, we focus on the coupling to magnetic excitations. In this paper, we study the real-time dynamics of a paradigmatic model, the Kondo lattice model in one dimension. We conduct a comprehensive study of the relaxation processes by evaluating the spin polarization of the conduction electron, the local spin-spin correlation between localized and conduction electrons, and the electronic momentum distribution. While in the well-studied cases of one or two charge carriers in a ferromagnetic background, no thermalization occurs, we demonstrate that the stationary state is compatible with thermalization if either the electronic filling is finite or the magnetic background is in the singlet sector. Our real-time simulations using the time-dependent Lanczos method are corroborated by a direct comparison with finite-temperature expectation values and an analysis of the spectrum in terms of the gap ratio.

Version 3: updated to the published version; added comments on future directions; minor stylistic and grammatical corrections

References in corpus (28)

• The density-matrix renormalization group in the age of matrix product states
• Thermalization and its mechanism for generic isolated quantum systems
• Many body localization and thermalization in quantum statistical mechanics
• Localization of interacting fermions at high temperature
• Nuclear spin physics in quantum dots: an optical investigation
• Time- and Angle-Resolved Photoemission Studies of Quantum Materials
• Many-Body Localization in the Age of Classical Computing
• Eigenstate thermalization and quantum chaos in the Holstein polaron model
• Snapshots of the retarded interaction of charge carriers with ultrafast fluctuations in cuprates
• Time evolution of one-dimensional Quantum Many Body Systems
• Relaxation dynamics of the Holstein polaron
• Ultrafast dynamics of electrons and phonons: from the two-temperature model to the time-dependent Boltzmann equation
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Nonequilibrium quantum dynamics of a charge carrier doped into a Mott insulator
• Charge-density-wave melting in the one-dimensional Holstein model
• Measurement, control, and decay of quantum-dot spins
• Photo-induced nonequilibrium states in Mott insulators
• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• Slow dynamics of a mobile impurity interacting with an Anderson insulator
• Nature of Bosonic Excitations revealed by high-energy charge carriers
• Matrix Product Study of Spin Fractionalization in the 1D Kondo Insulator
• Many-body theory of phonon-induced spin relaxation and decoherence
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Decoherence of an entangled state of a strongly-correlated double quantum dot structure through tunneling processes
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Low-temperature evolution of the spectral weight of a spin-up carrier moving in a ferromagnetic background
• Effects of the dynamical magnetization state on spin transfer