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001     916848
005     20230123101911.0
024 7 _ |a arXiv:2103.03577
|2 arXiv
024 7 _ |a 2128/33391
|2 Handle
037 _ _ |a FZJ-2023-00142
088 _ _ |a arXiv:2103.03577
|2 arXiv
100 1 _ |a Riwar, Roman-Pascal
|0 P:(DE-Juel1)168366
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|u fzj
245 _ _ |a Circuit quantization with time-dependent magnetic fields for realistic geometries
260 _ _ |c 2022
336 7 _ |a Preprint
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336 7 _ |a WORKING_PAPER
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336 7 _ |a Electronic Article
|0 28
|2 EndNote
336 7 _ |a preprint
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336 7 _ |a ARTICLE
|2 BibTeX
336 7 _ |a Output Types/Working Paper
|2 DataCite
500 _ _ |a 21 pages, 4 figures
520 _ _ |a Quantum circuit theory has become a powerful and indispensable tool to predict the dynamics of superconducting circuits. Surprisingly however, the question of how to properly account for a time-dependent driving via external magnetic fields has hardly been addressed so far. Here, we derive a general recipe to construct a low-energy Hamiltonian, taking as input only the circuit geometry and the solution of the external magnetic fields. A gauge fixing procedure for the scalar and vector potentials is given which assures that time-varying magnetic fluxes make contributions only to the potential function in the Schr\'odinger equation. Our proposed procedure is valid for continuum geometries and thus significantly generalizes previous efforts, which were based on discrete circuits. We study some implications of our results for the concrete example of a parallel-plate SQUID circuit. We show that if we insist on representing the response of this SQUID with individual, discrete capacitances associated with each individual Josephson junction, this is only possible if we permit the individual capacitance values to be negative, time-dependent or even momentarily singular. Finally, we provide some experimentally testable predictions, such as a strong enhancement of the qubit relaxation rates arising from the effective negative capacitances, and the emergence of a Berry phase due to time dependence of these capacitances.
536 _ _ |a 5224 - Quantum Networking (POF4-522)
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536 _ _ |a 5221 - Advanced Solid-State Qubits and Qubit Systems (POF4-522)
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588 _ _ |a Dataset connected to arXivarXiv
700 1 _ |a DiVincenzo, David
|0 P:(DE-Juel1)143759
|b 1
|e Corresponding author
856 4 _ |u https://juser.fz-juelich.de/record/916848/files/2103.03577.pdf
|y OpenAccess
909 C O |o oai:juser.fz-juelich.de:916848
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914 1 _ |y 2022
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