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Inseparable Time-Crystal Geometries on the Möbius Strip
Krzysztof Giergiel1, Arkadiusz Kuroś1,2, Arkadiusz Kosior1,3,4
1Instytut Fizyki Teoretycznej, Uniwersytet Jagielloński, ulica Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, Poland.
Physical Review Letters
|January 14, 2022
Summary
Researchers created novel 2D time lattices with Möbius strip geometry using ultracold atoms. This allows studying condensed matter physics in synthetic time-based lattices with controllable long-range interactions.
Area of Science:
- Quantum physics
- Condensed matter physics
- Atomic physics
Background:
- Periodically driven quantum systems enable solid-state models for condensed matter phenomena.
- Time lattices can be formed by evolving quantum states, offering new avenues for research.
Purpose of the Study:
- To demonstrate the realization of two-dimensional (2D) time lattices with Möbius strip geometry.
- To explore the potential for studying condensed matter phenomena in these novel synthetic lattices.
Main Methods:
- Utilizing ultracold atoms bouncing between two periodically oscillating mirrors.
- Engineering effective, controllable, and long-range interactions between atoms in the lattice.
Main Results:
- Successfully realized inseparable 2D time lattices with Möbius strip topology.
- Demonstrated the creation of a Lieb lattice model featuring a flat band.
- Showcased control over long-range hopping of atom pairs within the model.
Conclusions:
- The study presents a novel platform for exploring topological phases and quantum phenomena in synthetic time lattices.
- The ability to engineer long-range interactions opens possibilities for simulating complex many-body physics.
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