English

Thermal state entanglement in harmonic lattices

Quantum Physics 2009-11-13 v2

Abstract

We investigate the entanglement properties of thermal states of the harmonic lattice in one, two and three dimensions. We establish the value of the critical temperature for entanglement between neighbouring sites and give physical reasons. Further sites are shown to be entangled only due to boundary effects. Other forms of entanglement are addressed in the second part of the paper by using the energy as witness of entanglement. We close with a comprehensive diagram showing the different phases of entanglement versus complete separability and propose techniques to swap and tune entanglement experimentally.

Keywords

Cite

@article{arxiv.0803.1102,
  title  = {Thermal state entanglement in harmonic lattices},
  author = {Janet Anders},
  journal= {arXiv preprint arXiv:0803.1102},
  year   = {2009}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-21T10:19:34.097Z