Multimode physics of the unimon circuit
- URL: http://arxiv.org/abs/2309.09732v2
- Date: Thu, 12 Oct 2023 21:31:12 GMT
- Title: Multimode physics of the unimon circuit
- Authors: Sasu Tuohino, Vasilii Vadimov, Wallace S. Teixeira, Tommi Malmelin,
Matti Silveri, Mikko M\"ott\"onen
- Abstract summary: We consider a superconducting half-wavelength resonator that is grounded at its both ends and contains a single Josephson junction.
Inspired by the promising first experimental results, we develop here a theoretical and numerical model for the detailed understanding of the multimode physics of the unimon circuit.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider a superconducting half-wavelength resonator that is grounded at
its both ends and contains a single Josephson junction. Previously this circuit
was considered as a unimon qubit in the single-mode approximation where
dc-phase-biasing the junction to $\pi$ leads to increased anharmonicity and
99.9% experimentally observed single-qubit gate fidelity. Inspired by the
promising first experimental results, we develop here a theoretical and
numerical model for the detailed understanding of the multimode physics of the
unimon circuit. To this end, first, we consider the high-frequency modes of the
unimon circuit and find that even though these modes are at their ground state,
they imply a significant renormalization to the Josephson energy. We introduce
an efficient method how the relevant modes can be fully taken into account and
show that unexcited high-lying modes lead to corrections in the qubit energy
and anharmonicity. Interestingly, provided that the junction is offset from the
middle of the circuit, we find strong cross-Kerr coupling strengths between a
few low-lying modes. This observation paves the way for the utilization of the
multimode structure, for example, as several qubits embedded into a single
unimon circuit.
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