Non-equilibrium magnetization dynamics of ferromagnetically coupled Kondo spins

Abstract

An analytical description of non-equilibrium phenomena in interacting quantum systems is rarely possible. Here we present one example where such a description can be achieved, namely the ferromagnetic Kondo model. In equilibrium, this model is tractable via perturbative renormalization-group techniques. We employ a recently developed extension of the flow-equation method to calculate the non-equilibrium decay of the local magnetization at zero temperature. The flow equations admit analytical solutions which become exact at short and long times, in the latter case revealing that the system always retains a memory of its initial state.

17 pages, 7 figures

References in corpus (6)

• Interaction Quench in the Hubbard model
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Spin Precession and Real Time Dynamics in the Kondo Model: A Time-Dependent Numerical Renormalization-Group Study
• Kondo effect in single-molecule magnet transistors
• Real Time Evolution in Quantum Many-Body Systems With Unitary Perturbation Theory
• Unitary perturbation theory approach to real-time evolution problems

Cited by in corpus (14)

• Charge transport through single molecules, quantum dots, and quantum wires
• Finite size effects in global quantum quenches: examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model
• Relaxation vs decoherence: Spin and current dynamics in the anisotropic Kondo model at finite bias and magnetic field
• Non-equilibrium current and relaxation dynamics of a charge-fluctuating quantum dot
• New theoretical approaches for correlated systems in nonequilibrium
• Solving quantum impurity problems in and out of equilibrium with variational approach
• Hybrid NRG-DMRG approach to real-time dynamics of quantum impurity systems
• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• Flow Equation Calculation of Transient and Steady State Currents in the Anderson Impurity Model
• Numerical Renormalization Group calculations of the magnetization of isotropic and anisotropic Kondo impurities
• Scaling approach for the time-dependent Kondo model
• Quantum quenches and driven dynamics in a single-molecule device
• Nonequilibrium Dynamics Across an Impurity Quantum Critical Point
• Dynamics of symmetry breaking during quantum real-time evolution in a minimal model system