Topological time crystals
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 bulkedge correspondence is related to the edge in time, where edge states localize. We focus on two examples: SuSchriefferHeeger model in time and Bose Haldane insulator which emerges in the dynamics of a periodically driven manybody system.
 Publication:

New Journal of Physics
 Pub Date:
 May 2019
 DOI:
 10.1088/13672630/ab1e5f
 arXiv:
 arXiv:1806.10536
 Bibcode:
 2019NJPh...21e2003G
 Keywords:

 Condensed Matter  Quantum Gases;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Physics  Atomic Physics;
 Quantum Physics
 EPrint:
 Version accepted for publication in New Journal of Physics