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TT: Fachverband Tiefe Temperaturen

TT 61: TR: Nanoelectronics I - Quantum Dots, Wires, Point Contacts 3

TT 61.4: Talk

Friday, March 18, 2011, 11:15–11:30, HSZ 304

Adiabatic State Evolution: a new route to nonequilibrium physics — •Marion Moliner and Peter Schmitteckert — Karslruhe Institute of Technology

In recent years, the development of time dependent simulations of quantum systems have led to major steps in understanding non-equilibrium quantum systems. In these simulations, one typically studies the evolution of a system after a quench. In contrast, analytical approaches like Keldysh techniques can be traced back to the Lippmann-Schwinger equation, which itself is based on the concept of switching on perturbations adiabatically. In this work we present an approach which combines concepts of both techniques. By tracking the response of a system to an external perturbation adiabatically, we are able to access the non-equilibrium regime of a quantum system. We apply this method to interacting fermions in one dimension within the framework of the Density Matrix Renormalization Group technique.