English

The entanglement entropy of one-dimensional gases

Statistical Mechanics 2011-07-07 v2 Quantum Gases Quantum Physics

Abstract

We introduce a systematic framework to calculate the bipartite entanglement entropy of a spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. To show the wide range of applicability of the proposed formalism, we use it for the calculation of the entanglement in the eigenstates of periodic systems, in a gas confined by boundaries or external potentials, in junctions of quantum wires and in a time-dependent parabolic potential.

Keywords

Cite

@article{arxiv.1105.4756,
  title  = {The entanglement entropy of one-dimensional gases},
  author = {Pasquale Calabrese and Mihail Mintchev and Ettore Vicari},
  journal= {arXiv preprint arXiv:1105.4756},
  year   = {2011}
}

Comments

4 pages, 2 figures. v2: Typos corrected