Simulating two-dimensional dynamics within a large-size atomic spin

Aurélien Fabre, Jean-Baptiste Bouhiron, Tanish Satoor, Raphael Lopes, and Sylvain Nascimbene
Phys. Rev. A 105, 013301 – Published 5 January 2022

Abstract

Encoding a dimension in the internal degree of freedom of an atom provides an interesting tool for quantum simulation, facilitating the realization of artificial gauge fields. We propose an extension of the synthetic dimension toolbox, making it possible to encode two dimensions within a large atomic spin. The protocol combines first- and second-order spin couplings such that the spin projection m and the remainder r=m (mod 3) of its Euclidian division by 3 act as orthogonal coordinates on a synthetic cylinder. It is suited for an implementation with lanthanide atoms, which feature a large electronic spin and narrow optical transitions for applying the required spin couplings. This method is useful for simulating geometries with periodic boundary conditions and engineering various types of topological systems evolving in high dimensions.

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  • Received 11 October 2021
  • Accepted 9 December 2021

DOI:https://doi.org/10.1103/PhysRevA.105.013301

©2022 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Atomic, Molecular & Optical

Authors & Affiliations

Aurélien Fabre, Jean-Baptiste Bouhiron, Tanish Satoor, Raphael Lopes, and Sylvain Nascimbene*

  • Laboratoire Kastler Brossel, Collège de France, CNRS, ENS-PSL University, Sorbonne Université, 11 Place Marcelin Berthelot, 75005 Paris, France

  • *sylvain.nascimbene@lkb.ens.fr

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Issue

Vol. 105, Iss. 1 — January 2022

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