Quantum solitons and their quantum walks in transmon arrays

• URL: http://arxiv.org/abs/2606.19339v1
• Date: Wed, 17 Jun 2026 17:59:45 GMT
• Title: Quantum solitons and their quantum walks in transmon arrays
• Abstract summary: Superconducting qubits are artificial atoms whose spectra and interactions can be engineered through appropriate circuit design.<n>We revisit the discrete-soliton nature of the lowest-energy band of the spectrum, and identify spatially localized quantum solitons.<n>Our results demonstrate that superconducting circuits provide a promising and experimentally accessible platform for the investigation of quantum soliton physics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Superconducting qubits are artificial atoms whose spectra and interactions can be engineered through appropriate circuit design, a versatility that can be exploited for quantum simulation. We theoretically investigate a linear array of capacitively coupled transmons, effectively described by a Bose-Hubbard Hamiltonian with attractive interaction. We revisit the discrete-soliton nature of the lowest-energy band of the spectrum, and identify spatially localized quantum solitons. The solitonic character of these states is revealed through their time evolution, which displays a quantum interference pattern, or quantum walk, highlighting their composite nature. We discuss protocols for preparing spatially localized quantum solitons that are compatible with current state-of-the-art tunable-transmon circuits. Our results demonstrate that superconducting circuits provide a promising and experimentally accessible platform for the investigation of quantum soliton physics.

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