Canonical circuit quantization with linear nonreciprocal devices

Nonreciprocal devices effectively mimic the breaking of time-reversal symmetry for the subspace of dynamical variables that they couple, and can be used to create chiral information processing networks. We study the systematic inclusion of ideal gyrators and circulators into Lagrangian and Hamiltoni...

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Bibliographic Details
Published in:Physical review. B 2019-01, Vol.99 (1), p.1, Article 014514
Main Authors: Parra-Rodriguez, A., Egusquiza, I. L., DiVincenzo, D. P., Solano, E.
Format: Article
Language:English
Subjects:
Data processing
Devices
Electrical impedance
Electrical junctions
Electrical networks
Gyrators
Josephson junctions
Matrices (mathematics)
Measurement
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Summary:Nonreciprocal devices effectively mimic the breaking of time-reversal symmetry for the subspace of dynamical variables that they couple, and can be used to create chiral information processing networks. We study the systematic inclusion of ideal gyrators and circulators into Lagrangian and Hamiltonian descriptions of lumped-element electrical networks. The proposed theory is of wide applicability in general nonreciprocal networks on the quantum regime. We apply it to pedagogical and pathological examples of circuits containing Josephson junctions and ideal nonreciprocal elements described by admittance matrices, and compare it with the more involved treatment of circuits based on nonreciprocal devices characterized by impedance or scattering matrices. Finally, we discuss the dual quantization of circuits containing phase-slip junctions and nonreciprocal devices.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.99.014514