English

Quantum Disentanglement in Long-range Orders and Spontaneous Symmetry Breaking

Condensed Matter 2009-11-07 v3 Quantum Physics

Abstract

We investigate the nature of quantum entanglement in long-range orders and spontaneous symmetry breaking. It is shown that diminishing of entanglement between the condensate mode and the rest of the system underlies off-diagonal long-range order, which is the hallmark of superconductivity and Bose-Einstein condensation. It is also revealed that disentanglement underlies various cases of long-range order and spontaneous symmetry breaking. In the course of the discussion, we also present some ideas on characterizing entanglement in many-body systems. Especially, it is shown how the connected correlation functions can be used in characterizing entanglements in a pure state.

Keywords

Cite

@article{arxiv.cond-mat/0205272,
  title  = {Quantum Disentanglement in Long-range Orders and Spontaneous Symmetry Breaking},
  author = {Yu Shi},
  journal= {arXiv preprint arXiv:cond-mat/0205272},
  year   = {2009}
}

Comments

10 pages, revtex4. Journal version