| Autor: |
Salerno, G., Price, H. M., Lebrat, M., Häusler, S., Esslinger, T., Corman, L., Brantut, J. -P., Goldman, N. |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
Phys. Rev. X 9, 041001 (2019) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1103/PhysRevX.9.041001 |
| Popis: |
We propose a method by which the quantization of the Hall conductance can be directly measured in the transport of a one-dimensional atomic gas. Our approach builds on two main ingredients: (1) a constriction optical potential, which generates a mesoscopic channel connected to two reservoirs, and (2) a time-periodic modulation of the channel, specifically designed to generate motion along an additional synthetic dimension. This fictitious dimension is spanned by the harmonic-oscillator modes associated with the tightly-confined channel, and hence, the corresponding "lattice sites" are intimately related to the energy of the system. We analyze the quantum transport properties of this hybrid two-dimensional system, highlighting the appealing features offered by the synthetic dimension. In particular, we demonstrate how the energetic nature of the synthetic dimension, combined with the quasi-energy spectrum of the periodically-driven channel, allows for the direct and unambiguous observation of the quantized Hall effect in a two-reservoir geometry. Our work illustrates how topological properties of matter can be accessed in a minimal one-dimensional setup, with direct and practical experimental consequences. |
| Databáze: |
arXiv |
| Externí odkaz: |
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