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arXiv · 1304.7196

Bose-Hubbard models with photon pairing in circuit-QED

Benjamin Villalonga Correa·Andreas Kurcz·Juan jose Garcia-Ripoll
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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.

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Benjamin Villalonga Correa, Andreas Kurcz, Juan jose Garcia-Ripoll. 2013-04-26. Bose-Hubbard models with photon pairing in circuit-QED. https://doi.org/10.1088/0953-4075/46/22/224024

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