Localization on a Synthetic Hall Cylinder

Ren Zhang, Yangqian Yan, and Qi Zhou
Phys. Rev. Lett. 126, 193001 – Published 10 May 2021
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Abstract

By engineering laser-atom interactions, both Hall ribbons and Hall cylinders as fundamental theoretical tools in condensed matter physics have recently been synthesized in laboratories. Here, we show that turning a synthetic Hall ribbon into a synthetic Hall cylinder could naturally lead to localization. Unlike a Hall ribbon, a Hall cylinder hosts an intrinsic lattice, which arises due to the periodic boundary condition in the azimuthal direction, in addition to the external periodic potential imposed by extra lasers. When these two lattices are incommensurate, localization may occur on a synthetic Hall cylinder. Near the localization-delocalization transitions, physical observables strongly depend on the axial magnetic flux, providing us a sensitive means to probe either the transition or the axial flux using one another. In the irrational limit, physical observables are no longer affected by the axial flux, signifying a scheme to suppress decoherence induced by fluctuations of the axial flux.

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  • Received 10 December 2020
  • Accepted 20 April 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.193001

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Ren Zhang1,2, Yangqian Yan2, and Qi Zhou2

  • 1School of Physics, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, China
  • 2Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA

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Issue

Vol. 126, Iss. 19 — 14 May 2021

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