Linear Circuit Models for On-Chip Quantum Electrodynamics

Author

Mátyás, Alpár ; Jirauschek, Christian ; Peretti, Federico ; Lugli, Paolo ; Csaba, György

Author_Institution

Inst. for Nanoelectron., Tech. Univ. Munchen, Munich, Germany

Volume

59

Issue

1

fYear

2011

Firstpage

65

Lastpage

71

Abstract

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.

Keywords

Lamb shift; cavity resonators; equivalent circuits; microwave circuits; microwave resonators; passive networks; quantum electrodynamics; cavity quantum electrodynamics; equivalent circuit; general interaction Hamiltonian; linear circuit model; linear passive element; microwave resonator; on-chip quantum electrodynamics; quantum system; qubit Lamb shift; transmission frequency; Cavity resonators; Equations; Integrated circuit modeling; Mathematical model; Numerical models; Optical resonators; Resonant frequency; Cavity quantum electrodynamics (QED); circuit modeling; coupled quantum-classical systems; quantum nondemolition measurement;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2010.2090406

Filename

5645723