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The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
- Source :
- Physical Review X, Physical Review X, 9 (4, Physical Review X, 9 (4), Physical Review X, Vol 9, Iss 4, p 041001 (2019)
- Publication Year :
- 2018
- Publisher :
- arXiv, 2018.
-
Abstract
- 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 quasienergy 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.<br />SCOPUS: ar.j<br />info:eu-repo/semantics/published
- Subjects :
- Condensed Matter::Quantum Gases
Physics
Condensed Matter - Mesoscale and Nanoscale Physics
Ophtalmologie
QC1-999
General Physics and Astronomy
Conductance
Macroscopic quantum phenomena
FOS: Physical sciences
01 natural sciences
010305 fluids & plasmas
Dimension (vector space)
Quantum Gases (cond-mat.quant-gas)
Quantum mechanics
0103 physical sciences
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
010306 general physics
Condensed Matter - Quantum Gases
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Physical Review X, Physical Review X, 9 (4, Physical Review X, 9 (4), Physical Review X, Vol 9, Iss 4, p 041001 (2019)
- Accession number :
- edsair.doi.dedup.....0dce9ce1b993cb286a1f0244986d526a
- Full Text :
- https://doi.org/10.48550/arxiv.1811.00963