Exact and approximate fluxonium array modes
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913405710893056 |
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| author | Sorokanich, Stephen Hays, Max Warrington, Neill C. |
| author_facet | Sorokanich, Stephen Hays, Max Warrington, Neill C. |
| contents | We present an exact solution for the linearized junction array modes of the superconducting qubit fluxonium in the absence of array disorder. This solution holds for arrays of any length and ground capacitance, and for both differential and grounded devices. Array mode energies are determined by roots of convex combinations of Chebyshev polynomials, and their spatial profiles are plane waves. We also provide a simple, approximate solution, which estimates array mode properties over a wide range of circuit parameters, and an accompanying Mathematica file that implements both the exact and approximate solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18492 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact and approximate fluxonium array modes Sorokanich, Stephen Hays, Max Warrington, Neill C. Quantum Physics We present an exact solution for the linearized junction array modes of the superconducting qubit fluxonium in the absence of array disorder. This solution holds for arrays of any length and ground capacitance, and for both differential and grounded devices. Array mode energies are determined by roots of convex combinations of Chebyshev polynomials, and their spatial profiles are plane waves. We also provide a simple, approximate solution, which estimates array mode properties over a wide range of circuit parameters, and an accompanying Mathematica file that implements both the exact and approximate solutions. |
| title | Exact and approximate fluxonium array modes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2406.18492 |