Bose-Hubbard models with photon pairing in circuit-QED

TL;DR

This paper investigates a bosonic lattice model with pairing interactions in circuit-QED, revealing a crossover from insulator to correlated phases, and discusses its implementation with microwave resonators and qubits.

Contribution

It introduces a novel bosonic lattice model with pairing terms, analyzing its phase crossover and proposing a feasible circuit-QED implementation.

Findings

Crossover from insulator to correlated phase with pairing activation

Pairing terms induce long-range correlations without a quantum phase transition

Model can be realized using microwave resonators and superconducting qubits

Abstract

In this work we study a family of bosonic lattice models that combine an on-site repulsion term with a nearest-neighbor pairing term, $\sum_{< i,j>} a^\dagger_i a^\dagger_j + \mathrm{H.c.}$ Like the original Bose-Hubbard model, the nearest-neighbor term is responsible for the mobility of bosons and it competes with the local interaction, inducing two-mode squeezing. However, unlike a trivial hopping, the counter-rotating terms form pairing cannot be studied with a simple mean-field theory and does not present a quantum phase transition in phase space. Instead, we show that there is a cross-over from a pure insulator to long-range correlations that start up as soon as the two-mode squeezing is switched on. We also show how this model can be naturally implemented using coupled microwave resonators and superconducting qubits.