The influence of the Kerr effect in Mott insulator to superfluid transition from the point of view of the Jaynes-Cummings-Hubbard model

TL;DR

This paper investigates how the Kerr effect influences the phase transition from Mott insulator to superfluid in a Jaynes-Cummings-Hubbard model, revealing significant changes in transition properties despite minimal spectral alterations.

Contribution

It introduces the analysis of Kerr effect impacts on phase transitions within the Jaynes-Cummings-Hubbard model using fermionic approximation.

Findings

Kerr effect does not significantly alter the energy spectrum.

Kerr effect causes notable changes in phase transition behavior.

Phase transition properties are sensitive to Kerr nonlinearity.

Abstract

We have studied the Jaynes-Cummings-Hubbard model for a chain with the Kerr effect (nonlinear optical effect) through fermionic approximation. We have observed that the Kerr effec does not cause major changes in the energy spectrum. However, the phase transition properties from Mott insulator to superfluid undergoes significant changes due to the Kerr effect.