Linear Circuit Models for On-Chip Quantum Electrodynamics

We present equivalent circuits that model the interaction of microwave resonators and quantum systems. The circuit models are derived from a general interaction Hamiltonian. Quantitative agreement between the simulated resonator transmission frequency, qubit Lamb shift, and experimental data will be...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques 2011-01, Vol.59 (1), p.65-71
Main Authors: Matyas, Alpar, Jirauschek, Christian, Peretti, Federico, Lugli, Paolo, Csaba, Gyorgy
Format: Article
Language:English
Subjects:
Applied sciences
Cavity quantum electrodynamics (QED)
Cavity resonators
circuit modeling
Circuit properties
Circuits
coupled quantum-classical systems
Electric, optical and optoelectronic circuits
Electronic equipment and fabrication. Passive components, printed wiring boards, connectics
Electronics
Equations
Equivalent circuits
Exact sciences and technology
Integrated circuit modeling
Lamb
Mathematical model
Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits
Microwaves
Numerical models
Optical resonators
Quantum electrodynamics
quantum nondemolition measurement
Quantum theory
Qubits (quantum computing)
Resonant frequency
Resonators
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Description
Summary:We present equivalent circuits that model the interaction of microwave resonators and quantum systems. The circuit models are derived from a general interaction Hamiltonian. Quantitative agreement between the simulated resonator transmission frequency, qubit Lamb shift, and experimental data will be shown. We demonstrate that simple circuit models, using only linear passive elements, can be very useful in understanding systems where a small quantum system is coupled to a classical microwave apparatus.
ISSN:0018-9480
1557-9670
DOI:10.1109/TMTT.2010.2090406