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Title: Some topological states in one-dimensional cold atomic systems

Abstract

Ultracold atoms trapped in optical lattices nowadays have been widely used to mimic various models from condensed-matter 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 one-dimensional cold atomic system. Firstly, the recent achievements towards quantum simulation of one-dimensional models with topological non-trivial 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 two-dimensional topological insulators in one-dimensional 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; ONE-DIMENSIONAL CALCULATIONS; SIMULATION; SUPERLATTICES; TOPOLOGY; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Mei, Feng, Zhang, Dan-Wei, and Zhu, Shi-Liang, E-mail: slzhu@nju.edu.cn. Some topological states in one-dimensional cold atomic systems. United States: N. p., 2015. Web. doi:10.1016/J.AOP.2014.12.030.
Mei, Feng, Zhang, Dan-Wei, & Zhu, Shi-Liang, E-mail: slzhu@nju.edu.cn. Some topological states in one-dimensional cold atomic systems. United States. doi:10.1016/J.AOP.2014.12.030.
Mei, Feng, Zhang, Dan-Wei, and Zhu, Shi-Liang, E-mail: slzhu@nju.edu.cn. 2015. "Some topological states in one-dimensional cold atomic systems". United States. doi:10.1016/J.AOP.2014.12.030.
@article{osti_22451184,
title = {Some topological states in one-dimensional cold atomic systems},
author = {Mei, Feng and Zhang, Dan-Wei and Zhu, Shi-Liang, E-mail: slzhu@nju.edu.cn},
abstractNote = {Ultracold atoms trapped in optical lattices nowadays have been widely used to mimic various models from condensed-matter 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 one-dimensional cold atomic system. Firstly, the recent achievements towards quantum simulation of one-dimensional models with topological non-trivial 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 two-dimensional topological insulators in one-dimensional 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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