Many-body delocalization transition and relaxation in a quantum dot
Abstract
We revisit the problem of quantum localization of many-body states in a quantum dot and the associated problem of relaxation of an excited state in a finite correlated electron system. We determine the localization threshold for the eigenstates in Fock space. We argue that the localization-delocalization transition (which manifests itself, e.g., in the statistics of many-body energy levels) becomes sharp in the limit of a large dimensionless conductance (or, equivalently, in the limit of weak interaction). We also analyze the temporal relaxation of quantum states of various types (a "hot-electron state", a "typical" many-body state, and a single-electron excitation added to a "thermal state") with energies below, at, and above the transition.
Cite
@article{arxiv.1512.01807,
title = {Many-body delocalization transition and relaxation in a quantum dot},
author = {I. V. Gornyi and A. D. Mirlin and D. G. Polyakov},
journal= {arXiv preprint arXiv:1512.01807},
year = {2016}
}
Comments
16+6 pages, 2 figures; comments, additional explanations, references, and Supplemental Material added