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

Strongly Correlated Electrons 2013-09-27 v2 Statistical Mechanics Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1307.2762,
  title  = {Adiabatic Tracking of a State: a New Route to Nonequilibrium Physics},
  author = {M. Moliner and P. Schmitteckert},
  journal= {arXiv preprint arXiv:1307.2762},
  year   = {2013}
}