Four-Dimensional Quantum Hall Effect with Ultracold Atoms

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2015
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Price, Hannah M.
Ozawa, Tomoki
Carusotto, Iacopo
Goldman, Nathan
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Physical Review Letters. American Physical Society (APS). 2015, 115(19), 195303. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.115.195303
Zusammenfassung

We propose a realistic scheme to detect the 4D quantum Hall effect using ultracold atoms. Based on contemporary technology, motion along a synthetic fourth dimension can be accomplished through controlled transitions between internal states of atoms arranged in a 3D optical lattice. From a semiclassical analysis, we identify the linear and nonlinear quantized current responses of our 4D model, relating these to the topology of the Bloch bands. We then propose experimental protocols, based on current or center-of-mass-drift measurements, to extract the topological second Chern number. Our proposal sets the stage for the exploration of novel topological phases in higher dimensions.

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ISO 690PRICE, Hannah M., Oded ZILBERBERG, Tomoki OZAWA, Iacopo CARUSOTTO, Nathan GOLDMAN, 2015. Four-Dimensional Quantum Hall Effect with Ultracold Atoms. In: Physical Review Letters. American Physical Society (APS). 2015, 115(19), 195303. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.115.195303
BibTex
@article{Price2015-11-06FourD-54930,
  year={2015},
  doi={10.1103/PhysRevLett.115.195303},
  title={Four-Dimensional Quantum Hall Effect with Ultracold Atoms},
  number={19},
  volume={115},
  issn={0031-9007},
  journal={Physical Review Letters},
  author={Price, Hannah M. and Zilberberg, Oded and Ozawa, Tomoki and Carusotto, Iacopo and Goldman, Nathan},
  note={Article Number: 195303}
}
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