Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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5 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.95.196801

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 a quantum dot subject to a sudden change of the gate voltage and external magnetic field. Two distinct relaxation times are identified for the spin and charge dynamics.

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