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Title: Detecting non-Abelian geometric phases with three-level {Lambda} systems

Abstract

We show that a non-Abelian gauge potential in two nearly degenerated dressed states may be induced by two laser beams interacting with a three-level {Lambda} atomic system. We demonstrate that the populations of the atomic states at the end of a composed path formed by two closed loops are dependent on the order of those two loops, showing an unambiguous signature of the non-Abelian geometric phase. Through numerical calculations, we show that the non-Abelian feature of the geometric phases can be tested under realistic conditions.

Authors:
; ; ;  [1]
  1. Laboratory of Quantum Information Technology, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006 (China)
Publication Date:
OSTI Identifier:
22072222
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; GEOMETRY; LASERS; PHOTON BEAMS; POPULATION INVERSION; POTENTIALS

Citation Formats

Du Yanxiong, Xue Zhengyuan, Zhang Xinding, and Yan Hui. Detecting non-Abelian geometric phases with three-level {Lambda} systems. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.034103.
Du Yanxiong, Xue Zhengyuan, Zhang Xinding, & Yan Hui. Detecting non-Abelian geometric phases with three-level {Lambda} systems. United States. doi:10.1103/PHYSREVA.84.034103.
Du Yanxiong, Xue Zhengyuan, Zhang Xinding, and Yan Hui. Thu . "Detecting non-Abelian geometric phases with three-level {Lambda} systems". United States. doi:10.1103/PHYSREVA.84.034103.
@article{osti_22072222,
title = {Detecting non-Abelian geometric phases with three-level {Lambda} systems},
author = {Du Yanxiong and Xue Zhengyuan and Zhang Xinding and Yan Hui},
abstractNote = {We show that a non-Abelian gauge potential in two nearly degenerated dressed states may be induced by two laser beams interacting with a three-level {Lambda} atomic system. We demonstrate that the populations of the atomic states at the end of a composed path formed by two closed loops are dependent on the order of those two loops, showing an unambiguous signature of the non-Abelian geometric phase. Through numerical calculations, we show that the non-Abelian feature of the geometric phases can be tested under realistic conditions.},
doi = {10.1103/PHYSREVA.84.034103},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}