Particle-Hole Ansatz in the Jaynes-Cummings-Hubbard Model

A recurrence relation ansatz between annihilation operators applied to the hopping interaction term of the Jaynes-Cummings-Hubbard model (JCHM) reduces the JCHM to that of the ordinary Jaynes-Cummings model (JCM), albeit, with a boson energy depending on the hopping strength. This allows us to calcu...

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Bibliographic Details
Published in:arXiv.org 2023-06
Main Author: Alexanian, Moorad
Format: Article
Language:English
Subjects:
Fluids
Phase diagrams
Phase transitions
Superfluidity
Online Access:Get full text
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Summary:A recurrence relation ansatz between annihilation operators applied to the hopping interaction term of the Jaynes-Cummings-Hubbard model (JCHM) reduces the JCHM to that of the ordinary Jaynes-Cummings model (JCM), albeit, with a boson energy depending on the hopping strength. This allows us to calculate the phase diagram for the Mott-to-superfluid phase transition and the critical hopping strength as a function of the detuning.
ISSN:2331-8422
DOI:10.48550/arxiv.2306.00270