English

Partial entropy in finite-temperature phase transitions

Strongly Correlated Electrons 2009-11-11 v2

Abstract

It is shown that the von Neumann entropy, a measure of quantum entanglement, does have its classical counterpart in thermodynamic systems, which we call partial entropy. Close to the critical temperature the partial entropy shows perfect finite-size scaling behavior even for quite small system sizes. This provides a powerful tool to quantify finite-temperature phase transitions as demonstrated on the classical Ising model on a square lattice and the ferromagnetic Heisenberg model on a cubic lattice.

Keywords

Cite

@article{arxiv.cond-mat/0605460,
  title  = {Partial entropy in finite-temperature phase transitions},
  author = {Junpeng Cao and Xiaoling Cui and Zhang Qi and Wengang Lu and Qian Niu and Yupeng Wang},
  journal= {arXiv preprint arXiv:cond-mat/0605460},
  year   = {2009}
}

Comments

4 pages, 6 figures, Revised version

R2 v1 2026-07-22T11:32:27.149Z