Topological gauge fields and the composite particle duality

Gerard Valentí-Rojas*, Aneirin J. Baker, Alessio Celi, Patrik Öhberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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Abstract

We unveil a duality that extends the notions of both flux attachment and statistical transmutation in spacetime dimensions beyond (2+1)D. Thus, a quantum system in arbitrary dimensions can experience a modification of its statistical properties if coupled to a certain gauge field. For instance, a bosonic quantum fluid can feature composite fermionic (or anyonic) excitations when coupled to a statistical gauge field. We compute the explicit form of the aforementioned synthetic gauge fields in D≤3+1. We introduce a bosonic liquid and its composite dual in (1+1)D as proof of principle. We recover well-known results, resolve old controversies, and suggest a microscopic mechanism for the emergence of such a gauge field. We also outline potential directions for experimental realizations in ultracold atom platforms.

Original languageEnglish
Article number023128
JournalPhysical Review Research
Volume5
Issue number2
DOIs
Publication statusPublished - 30 May 2023

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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