Inseparable Time-Crystal Geometries on the Möbius Strip

Krzysztof Giergiel, Arkadiusz Kuroś, Arkadiusz Kosior, and Krzysztof Sacha
Phys. Rev. Lett. 127, 263003 – Published 22 December 2021
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Abstract

Description of periodically and resonantly driven quantum systems can lead to solid state models where condensed matter phenomena can be investigated in time lattices formed by periodically evolving Wannier-like states. Here, we show that inseparable two-dimensional time lattices with the Möbius strip geometry can be realized for ultracold atoms bouncing between two periodically oscillating mirrors. Effective interactions between atoms loaded to a lattice can be long-ranged and can be controlled experimentally. As a specific example, we show how to realize a Lieb lattice model with a flat band and how to control long-range hopping of pairs of atoms in the model.

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  • Received 22 March 2021
  • Accepted 24 November 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.263003

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied PhysicsGeneral Physics

Authors & Affiliations

Krzysztof Giergiel1, Arkadiusz Kuroś1,3, Arkadiusz Kosior1,2,4, and Krzysztof Sacha1

  • 1Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński, ulica Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, Poland
  • 2Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany
  • 3Institute of Physics, Jan Kochanowski University, ul. Uniwersytecka 7, 25-406, Kielce, Poland
  • 4Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria

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Issue

Vol. 127, Iss. 26 — 24 December 2021

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