Frithjof B. Anders

Real-Time Dynamics in Quantum-Impurity Systems: A Time-Dependent Numerical Renormalization-Group Approach

We develop a general approach to the nonequilibrium dynamics of quantum-impurity systems for arbitrary coupling strength. The numerical renormalization group is used to generate a complete basis set necessary for the correct description of the time evolution. We benchmark our method with the exact analytical solution for the resonant-level model. As a first application, we investigate the equilibration of an ultrasmall quantum dot subject to a sudden change of gate voltage and external magnetic field. Two distinct relaxation times are identified for the spin and charge dynamics.

Spin precession and real-time dynamics in the Kondo model : Time-dependent numerical renormalization-group study

A detailed derivation of the recently proposed time-dependent numerical renormalization-group (TD-NRG) approach to nonequilibrium dynamics in quantum-impurity systems is presented. We demonstrate that the method is suitable for fermionic as well as bosonic baths. Comparisons with exact analytical results for the charge relaxation in the resonant-level model and for dephasing in the spin-boson model establish the accuracy of the method. The real-time dynamics of a single spin coupled to each type of bath is investigated. We use the TD-NRG to calculate the spin relaxation and spin precession of a single Kondo impurity. The short- and long-time dynamics are studied as a function of temperature in the ferromagnetic and antiferromagnetic regimes. The short-time dynamics agrees very well with analytical results obtained at second order in the exchange coupling

Steady-state currents through nanodevices: a scattering-states numerical renormalization-group approach to open quantum systems.

J

Numerical renormalization group approach to Green's functions for quantum impurity models

. In the ferromagnetic regime, the transient spin decay is described by the scaling variable

Equilibrium and nonequilibrium dynamics of the sub-Ohmic spin-boson model.

x=2{\ensuremath{\rho}}_{F}\ensuremath{\mid}J(T)\ensuremath{\mid}Tt

Zero-bias conductance in carbon nanotube quantum dots.

. In the antiferromagnetic regime, the long-time decay is governed for

Influence of vibrational modes on quantum transport through a nanodevice

Tl{T}_{K}

Ab initio study of a mechanically gated molecule: From weak to strong correlation

by the Kondo time scale

MAGNETORESISTANCE IN THE TWO-CHANNEL ANDERSON LATTICE

1∕{T}_{K}

Spin noise in the anisotropic central spin model

. Here