Vacuum-Induced Abelian and Non-Abelian Gauge Potentials in Cavity Quantum Electrodynamics

Gauge potential plays an important role in exploring exotic phenomena in the single- and many-body quantum systems. In this paper, we propose a scheme to create both new Abelian and non-Abelian gauge potentials by adiabatically controlling the degenerate Dicke model in cavity quantum electrodynamics...

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Published inCommunications in theoretical physics Vol. 56; no. 12; pp. 1084 - 1088
Main Author 张海龙 梁奇锋 俞立先 陈刚
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2011
Subjects
Circuits
Electric potential
Gages
Gauges
Holes
Magnetic flux
Quantum electrodynamics
Voltage
多体量子系统
真空
磁单极子
规范势
诱导
量子现象
量子电动力学
阿贝尔
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ISSN0253-6102
DOI10.1088/0253-6102/56/6/20

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Summary:Gauge potential plays an important role in exploring exotic phenomena in the single- and many-body quantum systems. In this paper, we propose a scheme to create both new Abelian and non-Abelian gauge potentials by adiabatically controlling the degenerate Dicke model in cavity quantum electrodynamics. It is shown that a non-Abelian gauge potential is achieved only for a single atom, whereas an Abelianizen diagonal gauge potential is realized for the atomic ensemble. More importantly, two interesting quantum phenomena such as the geometric phase and the magnetic monopole induced by our created gauge potentials are also predicted. The possible physical realization is presented in the macroscopic circuit quantum electrodynamics with the Cooper pair boxes, which act as the artificial two-level atoms controlled by the gate voltage and the external magnetic flux.
Bibliography:Gauge potential plays an important role in exploring exotic phenomena in the single- and many-body quantum systems. In this paper, we propose a scheme to create both new Abelian and non-Abelian gauge potentials by adiabatically controlling the degenerate Dicke model in cavity quantum electrodynamics. It is shown that a non-Abelian gauge potential is achieved only for a single atom, whereas an Abelianizen diagonal gauge potential is realized for the atomic ensemble. More importantly, two interesting quantum phenomena such as the geometric phase and the magnetic monopole induced by our created gauge potentials are also predicted. The possible physical realization is presented in the macroscopic circuit quantum electrodynamics with the Cooper pair boxes, which act as the artificial two-level atoms controlled by the gate voltage and the external magnetic flux.
11-2592/O3
ZHANG Hai-Long,LIANG Qi-Feng , YU Li-Xian, CHEN Gang（ 1Institute of Electronic Technology, The PLA Information Engineering University, Zhenzhou 450004, China 2Department of Physics, Shaoxing University, Shaoxing 312000, China 3State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China）
cavity quantum electrodynamics, Abelian gauge potential, non-Abelian gauge potential
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ISSN:0253-6102
DOI:10.1088/0253-6102/56/6/20