Quantum Phase Transition in a Pseudo-hermitian Dicke model

Details Quantum Phase Transition in a Pseudo-hermitian Dicke model Quantum Phase Transition in a Pseudo-hermitian Dicke model

2009-01-13

arxiv.org/abs/0901.1730v2

Phys. Rev. E 80, 021107 (2009)

Physics

Quantum Physics

10 pages, RevTeX, no figures(v1); Two column, 5 pages, Added discussions, Version to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.80.021107

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.

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