English

Comment on 'Revisiting the phase transitions of the Dicke model'

Quantum Physics 2022-10-14 v1 Statistical Mechanics

Abstract

In the work of Das and Sharma [Phys. Rev. A 105, 033716 (2022)] the phase transitions of the Dicke model are studied. Its main result is that, besides the well-known quantum phase transition, excited-state quantum phase transition and thermal phase transition exhibited by the model, there exists an upper bound energy, EE_{*}, beyond which the model ceases to exhibit quantum chaotic behavior and the structure of the eigenfunctions changes. Based on this finding, a number of well-established results about the Dicke model are called into question. We argue that this result and all its consequences are spurious numerical effects resulting from an improper truncation of the infinite-dimensional Hilbert space necessary for numerical diagonalization.

Keywords

Cite

@article{arxiv.2209.14660,
  title  = {Comment on 'Revisiting the phase transitions of the Dicke model'},
  author = {Ángel L. Corps and Armando Relaño},
  journal= {arXiv preprint arXiv:2209.14660},
  year   = {2022}
}

Comments

Comment; 5 pages, 3 figures. To appear in Phys. Rev. A