Observation of geometric phases for three-level systems using NMR interferometry

被引：20

作者：

Chen, Hongwei ^{[1
,2
]}

Hu, Mingguang ^{[3
]}

Chen, Jingling ^{[3
]}

Du, Jiangfeng ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, Hefei Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China

[2] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China

[3] Nankai Univ, Div Theoret Phys, Chern Inst Math, Tianjin 300071, Peoples R China

来源：

PHYSICAL REVIEW A | 2009年 / 80卷 / 05期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Berry phase; Hilbert spaces; nuclear magnetic resonance; quantum computing; BERRY TOPOLOGICAL PHASE;

D O I：

10.1103/PhysRevA.80.054101

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Inspired by the optical experimental scheme [Phys. Rev. Lett. 86, 369 (2001)], we propose and implement a NMR experiment to observe an Abelian geometric phase shift arising from the cyclic evolution of U(2)-invariant states. Such a phase shift geometrically refers to the Bargmann invariant in a four-dimensional SU(3)/U(2) parameter space, while the usual geometric phases arise in the evolution of U(1)-invariant states and is related to solid angles in a two-dimensional SU(2)/U(1)approximate to S-2 parameter space (or Poincareacute sphere). We present the experiment in a four-level system and investigate its topological invariance for different circuits. This may provide a realistic candidate to design complex geometric quantum circuits for future quantum computers.

引用

页数：4

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