Bose-Hubbard models with photon pairing in circuit-QED

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, ${\sum }_{<i,j>}{a}_i^{†}{a}_j^{†}+H.c.$ 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.

Final version, 19 pages, 9 figures

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Cited by in corpus (4)

• Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
• Coupling spin ensembles via superconducting flux qubits
• Quantum criticality in interacting bosonic Kitaev-Hubbard models
• Staggered quantum walks with superconducting microwave resonators