This title appears in the Scientific Report :
2019
Please use the identifier:
http://hdl.handle.net/2128/21926 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevB.99.014514 in citations.
Canonical circuit quantization with linear nonreciprocal devices
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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Personal Name(s): | Parra-Rodriguez, A. (Corresponding author) |
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Egusquiza, I. L. / DiVincenzo, David / Solano, E. | |
Contributing Institute: |
Theoretische Nanoelektronik; PGI-2 |
Published in: | Physical Review B Physical review / B, 99 99 (2019 2019) 1 1, S. 014514 014514 |
Imprint: |
Woodbury, NY
Inst.
2019
|
DOI: |
10.1103/PhysRevB.99.014514 |
Document Type: |
Journal Article |
Research Program: |
Controlling Collective States |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevB.99.014514 in citations.
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. |