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Open Quantum Systems Decoherence Quantum Simulation

Quantum Phase Transition in a Pseudo-hermitian Dicke model

arXiv
Authors: Tetsuo Deguchi, Pijush K. Ghosh

Year

2009

Paper ID

9291

Status

Preprint

Abstract Read

~2 min

Abstract Words

60

Citations

N/A

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • 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.

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