期刊
NEW JOURNAL OF PHYSICS
卷 20, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aa9d4c
关键词
winding number; Zak phase; topological insulators; quantum simulation; measure of winding numbers
资金
- Spanish MINECO [SEV-2015-0522, FIS2016-79508-P]
- Generalitat de Catalunya [SGR 874]
- Generalitat de Catalunya (CERCA)
- Fundacio Privada Cellex
- EU grant OSYRIS [ERC-2013-AdG, 339106]
- EU grant QUIC [H2020-FETProAct-2014 641122]
- EU grant SIQS [FP7-ICT-2011-9600645]
- EU grant OSYRIS
- Cellex-ICFO-MPQ fellowship
- Adv
- ERC grant PHOSPhOR [694683]
- 'Ramon y Cajal' program
- Simons Foundation
- National Science Foundation [PHY-1607611]
We study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral displacement. The derivation of this result is done in terms of spectral projectors, allowing for a detailed understanding of the physics. We show that the proposed detection converges rapidly and it can be implemented in a wide class of chiral systems. Furthermore, it can measure arbitrary winding numbers and topological boundaries, it applies to all non-interacting systems, independently of their quantum statistics, and it requires no additional elements, such as external fields, nor filled bands.
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