Mott Insulator to Superfluid Phase Transition in Bravais Lattices via the Jaynes-Cummings-Hubbard Model

TL;DR

This paper investigates the Mott insulator to superfluid phase transition in various Bravais lattices using the Jaynes-Cummings-Hubbard model, revealing lattice-specific and excitation-dependent behaviors.

Contribution

It introduces a fermionic approximation approach to analyze phase transitions across multiple lattice types in the Jaynes-Cummings-Hubbard model, highlighting non-scalability in FCC lattices.

Findings

Mott lobes and critical hopping are non-scalable only for FCC lattice.

At high excitation numbers, critical hopping becomes scalable across all lattices.

Critical hopping is independent of detuning at large excitation regimes.

Abstract

The Properties of the Mott insulator to superfluid phase transition are obtained through the fermionic approximation in the Jaynes-Cummings-Hubbard model on linear, square, SC, FCC, and BCC Bravais lattices. For varying excitation number and atom-cavity frequency detuning. We find that the Mott lobes and the critical hopping are not scalable only for the FCC lattice. At the large excitation number regime, the critical hopping is scalable for all the lattices and it does not depend on the detuning.