Soliton versus single photon quantum dynamics in arrays of superconducting qubits

• URL: http://arxiv.org/abs/2212.06627v2
• Date: Tue, 18 Jul 2023 06:06:39 GMT
• Title: Soliton versus single photon quantum dynamics in arrays of superconducting qubits
• Authors: Ben Blain, Giampiero Marchegiani, Juan Polo, Gianluigi Catelani, and Luigi Amico
• Abstract summary: Arrays of capacitively coupled transmon qubits naturally implement the Bose-Hubbard model with attractive on-site interaction. Here, we demonstrate that these bright solitons can be pinned in the system, and we find that a soliton moves while maintaining its shape. In contrast, the source-to-drain transport of photons through the array occurs through extended states that have higher energy compared to the bright soliton.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Superconducting circuits constitute a promising platform for future implementation of quantum processors and simulators. Arrays of capacitively coupled transmon qubits naturally implement the Bose-Hubbard model with attractive on-site interaction. The spectrum of such many-body systems is characterised by low-energy localised states defining the lattice analog of bright solitons. Here, we demonstrate that these bright solitons can be pinned in the system, and we find that a soliton moves while maintaining its shape. Its velocity obeys a scaling law in terms of the combined interaction and number of constituent bosons. In contrast, the source-to-drain transport of photons through the array occurs through extended states that have higher energy compared to the bright soliton. For weak coupling between the source/drain and the array, the populations of the source and drain oscillate in time, with the chain remaining nearly unpopulated at all times. Such a phenomenon is found to be parity dependent. Implications of our results for the actual experimental realisations are discussed.

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