Quantum Phase Transition in a Pseudo-hermitian Dicke model
Quantum Physics
2009-08-14 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We show that a Dicke-type pseudo-hermitian Hamiltonian undergoes quantum phase transition by mapping it to the "Dressed Dicke Model" through a similarity transformation. We find the positive-definite metric in the Hilbert space of the pseudo-hermitian Hamiltonian so that it is unitary and allows a consistent quantum description. Further, we obtain the limit in which the pseudo-hermitian Hamiltonian is exactly solvable.
Cite
@article{arxiv.0901.1730,
title = {Quantum Phase Transition in a Pseudo-hermitian Dicke model},
author = {Tetsuo Deguchi and Pijush K. Ghosh},
journal= {arXiv preprint arXiv:0901.1730},
year = {2009}
}
Comments
10 pages, RevTeX, no figures(v1); Two column, 5 pages, Added discussions, Version to appear in Physical Review E