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

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, $E_{\ast }$, 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.

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

References in corpus (6)

• The distribution of the ratio of consecutive level spacings in random matrix ensembles
• Excited-state quantum phase transitions
• Excited-state quantum phase transition in the Rabi model
• Distribution of the Ratio of Consecutive Level Spacings for Different Symmetries and Degrees of Chaos
• Approximated integrability of the Dicke model
• Phase transitions of the Dicke model: a unified perspective

Cited by in corpus (2)

• Three-level Dicke quantum battery
• Experimental observation of phase transitions of a deformed Dicke model using a reconfigurable, bi-parametric electronic platform