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Adiabatic Tracking of a State: a New Route to Nonequilibrium Physics

We present a novel numerical approach to track the response of a quantum system to an external perturbation that is progressively switched-on. The method is applied, within the framework of the density matrix renormalization group technique, to track current-carrying states of interacting fermions in one dimension and in presence of an Aharonov-Bohm magnetic flux. This protocol allows us to access highly excited states. We also discuss the connection with the entanglement entropy of these excited states.

preprint2013arXivOpen access
M. MolinerP. Schmitteckert
cond-mat.stat-mechcond-mat.str-elquant-ph
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M. MolinerP. Schmitteckert

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