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

2005/10/31 by Frithjof B. Anders, Avraham Schiller · 7 citations
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum many-body systems #Cold Atom Physics and Bose-Einstein Condensates

paper · doi:10.1103/physrevlett.95.196801

Abstract

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.

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