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

• URL: http://arxiv.org/abs/2306.00270v1
• Date: Thu, 1 Jun 2023 01:12:57 GMT
• Title: Particle-Hole Ansatz in the Jaynes-Cummings-Hubbard Model
• Authors: Moorad Alexanian
• Abstract 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) 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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