Journal Article FZJ-2019-02208

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Canonical circuit quantization with linear nonreciprocal devices

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2019
Inst. Woodbury, NY

Physical review / B 99(1), 014514 () [10.1103/PhysRevB.99.014514]

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Abstract: 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.

Classification:

Contributing Institute(s):
  1. Theoretische Nanoelektronik (PGI-2)
Research Program(s):
  1. 144 - Controlling Collective States (POF3-144) (POF3-144)

Appears in the scientific report 2019
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Medline ; American Physical Society Transfer of Copyright Agreement ; OpenAccess ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Web of Science Core Collection
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 Record created 2019-03-27, last modified 2023-04-26