2018/06/27 by Krzysztof Giergiel, K. Giergiel, Alexandre Dauphin +7 · 1 voice · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.quant-gas #physics.atom-ph #quant-ph
paper · pdf · doi:10.1088/1367-2630/ab1e5f
published as New J. Phys. 21, 052003 (2019) · Version accepted for publication in New Journal of Physics
arxiv published 2018/06/27 · openalex publication_date 2019/05/01 · arxiv created 2019/05/06 · arxiv updated 2019/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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 (SSH) model in time and Bose Haldane insulator which emerges in the dynamics of a periodically driven many-body system.