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Scalable cold-atom quantum simulator for two-dimensional QED

Robert Ott, Torsten V. Zache, Fred Jendrzejewski, Jürgen Berges

arXiv:2012.10432v1cond-mat.quant-gashep-phquant-ph

TL;DR

Two-dimensional QED lacks scalable experimental implementations because constructing gauge-invariant magnetic plaquette terms is difficult. The paper proposes a cold-atom simulator using spin-changing collisions to engineer these terms and illustrates confinement through flux-tube occupations and a linear potential, while identifying finite-parameter constraints.

  • Problem

    Scalable two-dimensional QED simulators remain difficult because efficiently constructing gauge-invariant magnetic plaquette interactions is still unresolved.

    Source: p. 1
  • Method

    The proposal uses two spinor Bose gases in a two-dimensional optical lattice, representing electric fields by occupations and engineering plaquette terms through hetero-nuclear collisions and neighboring-cloud superpositions.

    Source: pp. 1–2
  • Results

    The simulator describes confinement through finite occupation changes along links between static charges, with a flux tube and a ground-state energy dominated by a linear confining potential at large separation.

    Source: pp. 1, 3, 4
  • Takeaways & Limitations

    The scheme provides a scalable, tunable route to studying two-dimensional gauge-field dynamics and confinement with cold atoms.

    Source: pp. 1, 4

    The analysis extrapolates results at g2 = 1 beyond the well-established weak-coupling regime, and the interaction δ must remain limited relative to the electric-field energy.

    Source: pp. 3–4

Abstract

from arXiv · show

We propose a scalable analog quantum simulator for quantum electrodynamics (QED) in two spatial dimensions. The setup for the U(1) lattice gauge field theory employs inter-species spin-changing collisions in an ultra-cold atomic mixture trapped in an optical lattice. Building on the previous one-dimensional implementation scheme of Ref. [1] we engineer spatial plaquette terms for magnetic fields, thus solving a major obstacle towards experimental realizations of realistic gauge theories in higher dimensions. We apply our approach to pure gauge theory and discuss how the phenomenon of confinement of electric charges can be described by the quantum simulator.

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