English

Six-dimensional time-space crystalline structures

Quantum Gases 2021-03-17 v2 Mesoscale and Nanoscale Physics Atomic Physics Quantum Physics

Abstract

Time crystalline structures are characterized by regularity that single-particle or many-body systems manifest in the time domain, closely resembling the spatial regularity of ordinary space crystals. Here we show that time and space crystalline structures can be combined together and even six-dimensional time-space lattices can be realized. As an example, we demonstrate that such time-space crystalline structures can reveal the six-dimensional quantum Hall effect quantified by the third Chern number.

Keywords

Cite

@article{arxiv.2012.02783,
  title  = {Six-dimensional time-space crystalline structures},
  author = {Giedrius Žlabys and Chu-hui Fan and Egidijus Anisimovas and Krzysztof Sacha},
  journal= {arXiv preprint arXiv:2012.02783},
  year   = {2021}
}

Comments

7 pages + extended version of supplemental material

R2 v1 2026-06-23T20:44:29.306Z