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arxiv: 2402.01627 · v1 · pith:EW7FKNRZ · submitted 2024-02-02 · quant-ph · cond-mat.quant-gas· cond-mat.stat-mech· physics.optics

Spatial correlations of vortex quantum states

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classification quant-ph cond-mat.quant-gascond-mat.stat-mechphysics.optics
keywords spatialcorrelationsstatesquantumvorticesalreadyapartbehave
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We study spatial correlations of vortices in different quantum states or with Bose or Fermi statistics. This is relevant for both optical vortices and condensed-matter ones such as microcavity polaritons, or any platform that can prepare and image fields in space at the few-particle level. While we focus on this particular case for illustration of the formalism, we already reveal unexpected features of spatial condensation whereby bosons exhibit a bimodal distribution of their distances which places them farther apart than fermions in over 40% of the cases, or on the opposite conceal spatial correlations to behave like coherent states. Such experiments upgrade in the laboratory successful techniques in uncontrolled extreme environments (stars and nuclei).

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Cited by 2 Pith papers

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  1. Boson correlations are spurious for classical states

    quant-ph 2026-04 unverdicted novelty 5.0

    Boson correlations for states with well-behaved Glauber-Sudarshan P-representations are spurious statistical correlations due to Simpson's paradox from symmetry-breaking in ensemble averages over varying geometries.

  2. Polariton BECs: Theory and Concepts

    cond-mat.quant-gas 2026-05 unverdicted novelty 3.0

    Surveys theoretical concepts of polariton Bose-Einstein condensates, emphasizing that linear and non-interacting effects explain much of the phenomenology including bosonic correlations and coherence buildup.