Detection of topological symmetry in the one-dimensional Afeck-Kennedy-Lieb-Tasaki model of integer spin with ultracold spinor atoms in optical lattices  

作　　者：CUI HaiTao YANG Gui TIAN JunLong 

机构地区：[1]School of Physics and Electric Engineering,Anyang Normal University

出　　处：《Science China(Physics,Mechanics & Astronomy)》2013年第11期2128-2133,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：sponsored by National Natural Science Foundation of China (Grant Nos. 10747159 and 11005002);New Century Excellent Talents in University, Ministry of Education of China (Grant No. NCET-11-0937);the Program of Excellent Teachers in Universities of Henan Province of China (Grant No. 2010GGJS-181);the support of National Natural Science Foundation of China (Grant No. 11005003)

摘　　要：A scheme is proposed for detection of the topology in the one-dimensional Afeck-Kennedy-Lieb-Tasaki model,based on ultracold spinor atomic gas in an optical lattice.For this purpose,a global operation O(θ)is introduced with respect to the breaking of spinrotational symmetry.Consequently,the topology can be manifested unambiguously by identifying the special values ofθwhere the expectation value of the global operator with degenerate ground states is vanishing.Furthermore,experimentallyθcan be detected readily by the interference of ultracold atomic gases.This scheme can be implemented readily in experiment since it does not need the addressing of individual atoms or the probing of a boundary.A scheme is proposed for detection of the topology in the one-dimensional Afeck-Kennedy-Lieb-Tasaki model, based on ultracold spinor atomic gas in an optical lattice. For this purpose, a global operation O（θ） is introduced with respect to the breaking of spinrotational symmetry. Consequently, the topology can be manifested unambiguously by identifying the special values of θ where the expectation value of the global operator with degenerate ground states is vanishing. Furthermore, experimentally θ can be detected readily by the interference of ultracold atomic gases. This scheme can be implemented readily in experiment since it does not need the addressing of individual atoms or the probing of a boundary.

关 键 词：global operator topology symmetry Afeck-Kennedy-Lieb-Tasaki model ultracold atoms 

分 类 号：O562[理学—原子与分子物理]