Related Experiment Video
Updated: Jun 19, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Quantum phase transition in a pseudo-Hermitian Dicke model
Tetsuo Deguchi1, Pijush K Ghosh
1Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan. deguchi@phys.ocha.ac.jp
Abstract:
We show that a Dicke-type non-Hermitian Hamiltonian admits entirely real spectra by mapping it to the "dressed Dicke model" through a similarity transformation. We find a positive-definite metric in the Hilbert space of the non-Hermitian Hamiltonian so that the time evolution is unitary and allows a consistent quantum description. We then show that this non-Hermitian Hamiltonian describing nondissipative quantum processes undergoes quantum phase transition. The exactly solvable limit of the non-Hermitian Hamiltonian has also been discussed.
Related Concept Videos
The Quantum-Mechanical Model of an Atom
Phase Transitions
Phase Transitions
Debye–Huckel–Onsager Conductance Equation
The de Broglie Wavelength
The Phase Rule
