Statistically induced phase transitions and anyons in 1D optical lattices
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Anyons--particles carrying fractional statistics that interpolate between bosons and fermions--have been conjectured to exist in low-dimensional systems. In the context of the fractional quantum Hall effect, quasi-particles made of electrons take the role of anyons whose statistical exchange phase is fixed by the filling factor. Here we propose an experimental setup to create anyons in one-dimensional lattices with fully tuneable exchange statistics. In our setup, anyons are created by bosons with occupation-dependent hopping amplitudes, which can be realized by assisted Raman tunnelling. The statistical angle can thus be controlled in situ by modifying the relative phase of external driving fields. This opens the fascinating possibility of smoothly transmuting bosons via anyons into fermions and of inducing a phase transition by the mere control of the particle statistics as a free parameter. In particular, we demonstrate how to induce a quantum phase transition from a superfluid into an exotic Mott-like state where the particle distribution exhibits plateaus at fractional densities.
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Our simulation of arbitrary fractional exchange statistics also provides a novel method to study fractional quantum interference phenomena.
“Our simulation of arbitrary fractional exchange statistics also provides a novel method to study fractional quantum interference phenomena28;”
From Observing fermionic statistics with photons in arbitrary processes (2013) · cites this paper as [28]
The Discussion (page unavailable) describes a proposed 1D optical-lattice setup with full control and tunability of particles’ exchange statistics. Our copy does not say that the setup provides a method to study fractional quantum interference phenomena; a search for interference-related passages found none. (LLM, conf=0.82)
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- Authors
- Keilmann, T., Lanzmich, S., McCulloch, I., & Roncaglia, M.
- Affiliations
- Ludwig-Maximilians-Universität München (DE)
- The University of Queensland (AU)
- Politecnico di Torino (IT)
- Corresponding author
- Keilmann, Tassilo
- ORCID
- McCulloch, Ian
- Venue
- Nature Communications
- Published
- 2011-06-21
- Volume
- 2
- Issue
- 1
- Pages
- 361-361
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2171620128
- Cited by
- 199
- References
- 34
- Citations by year
- 2026: 9 · 2025: 17 · 2024: 12 · 2023: 13 · 2022: 19 · 2021: 13 · 2020: 12 · 2019: 19 · 2018: 16 · 2017: 12 · 2016: 18 · 2015: 13 · 2014: 10 · 2013: 6 · 2012: 6
- FWCI
- 4.17
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Nature Communications (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Keywords
- anyons, fractional statistics, one-dimensional optical lattice, quantum phase transitions
- MeSH terms
- Elementary Particles, Physics, Quantum Theory, Models, Statistical, Phase Transition
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