Mott insulator-superfluid phase transition in a detuned multi-connected Jaynes-Cummings lattice

TL;DR

This paper investigates a quantum phase transition in a superconducting circuit-based Jaynes-Cummings lattice, demonstrating a transition from superfluid to Mott insulator phases by tuning qubit-cavity detuning.

Contribution

It introduces a model of a detuned multi-connected Jaynes-Cummings lattice and analyzes the phase transition using numerical methods, highlighting the effects of symmetric and asymmetric couplings.

Findings

Phase transition from superfluid to Mott insulator observed.

Detuning controls the phase transition at commensurate fillings.

Symmetric and asymmetric couplings influence the transition characteristics.

Abstract

The connectivity and tunability of superconducting quantum devices provide a rich platform to build quantum simulators and study novel many-body physics. Here we study quantum phase transition in a detuned multi-connected Jaynes-Cummings lattice, which can be constructed with superconducting circuits. This model is composed of alternatively connected qubits and cavity modes. Using a numerical method, we show that by varying the detuning between the qubits and the cavities, a phase transition from the superfluid phase to the Mott insulator phase occurs at commensurate fillings in a one-dimensional array. We study the phase transition in lattices with symmetric and asymmetric couplings, respectively.