Some topological states in onedimensional cold atomic systems
Abstract
Ultracold atoms trapped in optical lattices nowadays have been widely used to mimic various models from condensedmatter physics. Recently, many great experimental progresses have been achieved for producing artificial magnetic field and spin–orbit coupling in cold atomic systems, which turn these systems into a new platform for simulating topological states. In this paper, we give a review focusing on quantum simulation of topologically protected soliton modes and topological insulators in onedimensional cold atomic system. Firstly, the recent achievements towards quantum simulation of onedimensional models with topological nontrivial states are reviewed, including the celebrated Jackiw–Rebbi model and Su–Schrieffer–Heeger model. Then, we will introduce a dimensional reduction method for systematically constructing high dimensional topological states in lower dimensional models and review its applications on simulating twodimensional topological insulators in onedimensional optical superlattices.
 Authors:
 Publication Date:
 OSTI Identifier:
 22451184
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Annals of Physics; Journal Volume: 358; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; MAGNETIC FIELDS; ONEDIMENSIONAL CALCULATIONS; SIMULATION; SUPERLATTICES; TOPOLOGY; TWODIMENSIONAL CALCULATIONS
Citation Formats
Mei, Feng, Zhang, DanWei, and Zhu, ShiLiang, Email: slzhu@nju.edu.cn. Some topological states in onedimensional cold atomic systems. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2014.12.030.
Mei, Feng, Zhang, DanWei, & Zhu, ShiLiang, Email: slzhu@nju.edu.cn. Some topological states in onedimensional cold atomic systems. United States. doi:10.1016/J.AOP.2014.12.030.
Mei, Feng, Zhang, DanWei, and Zhu, ShiLiang, Email: slzhu@nju.edu.cn. 2015.
"Some topological states in onedimensional cold atomic systems". United States.
doi:10.1016/J.AOP.2014.12.030.
@article{osti_22451184,
title = {Some topological states in onedimensional cold atomic systems},
author = {Mei, Feng and Zhang, DanWei and Zhu, ShiLiang, Email: slzhu@nju.edu.cn},
abstractNote = {Ultracold atoms trapped in optical lattices nowadays have been widely used to mimic various models from condensedmatter physics. Recently, many great experimental progresses have been achieved for producing artificial magnetic field and spin–orbit coupling in cold atomic systems, which turn these systems into a new platform for simulating topological states. In this paper, we give a review focusing on quantum simulation of topologically protected soliton modes and topological insulators in onedimensional cold atomic system. Firstly, the recent achievements towards quantum simulation of onedimensional models with topological nontrivial states are reviewed, including the celebrated Jackiw–Rebbi model and Su–Schrieffer–Heeger model. Then, we will introduce a dimensional reduction method for systematically constructing high dimensional topological states in lower dimensional models and review its applications on simulating twodimensional topological insulators in onedimensional optical superlattices.},
doi = {10.1016/J.AOP.2014.12.030},
journal = {Annals of Physics},
number = ,
volume = 358,
place = {United States},
year = 2015,
month = 7
}

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