Topological time crystals. (29th May 2019)

• Record Type: Journal Article
• Authors: Giergiel, Krzysztof; Dauphin, Alexandre; Lewenstein, Maciej; Zakrzewski, Jakub; Sacha, Krzysztof
• Is Part Of: New journal of physics. Volume 21:Number 5(2019:May)
• Publication Date: 2019-05-29
• Subjects: time crystals -- topological phases -- ultra-cold atoms; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/ab1e5f
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: By analogy with the formation of space crystals, crystalline structures can also appear in the time domain. While in the case of space crystals we often ask about periodic arrangements of atoms in space at a moment of a detection, in time crystals the role of space and time is exchanged. That is, we fix a space point and ask if the probability density for detection of a system at this point behaves periodically in time. Here, we show that in periodically driven systems it is possible to realize topological insulators, which can be observed in time. The bulk-edge correspondence is related to the edge in time, where edge states localize. We focus on two examples: Su-Schrieffer-Heeger model in time and Bose Haldane insulator which emerges in the dynamics of a periodically driven many-body system.