Coherence Properties of the Repulsive Anyon-Hubbard Dimer

One-dimensional anyonic models of the Hubbard type show intriguing ground-state properties, effectively transmuting between Bose-Einstein and Fermi-Dirac statistics. The simplest model that one can investigate is an anyonic version of the bosonic Josephson junction, the repulsive anyon-Hubbard dimer...

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Bibliographic Details
Published inarXiv.org
Main Authors Bonkhoff, Martin, Jäger, Simon B, Schneider, Imke, Pelster, Axel, Eggert, Sebastian
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 31.10.2023
Subjects
Coherence
Cold atoms
Dimers
Fermi-Dirac statistics
Information theory
Josephson junctions
Physics - Quantum Gases
Physics - Strongly Correlated Electrons
Quantum optics
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Summary:One-dimensional anyonic models of the Hubbard type show intriguing ground-state properties, effectively transmuting between Bose-Einstein and Fermi-Dirac statistics. The simplest model that one can investigate is an anyonic version of the bosonic Josephson junction, the repulsive anyon-Hubbard dimer. In the following we find an exact duality relation to the Bethe-solvable Bose-Hubbard dimer, which is well known from quantum optics and information theory and has interesting connections to spin squeezing and entangled coherent states. Conversely, we show that the anyonic Hubbard dimer has nontrivial coherence properties that emerge from the anyonic statistics. In particular, we find that coherences can be suppressed and amplified and show that these features are remarkably robust against additional repulsive on-site interactions highlighting the distinct nature of anyons.
ISSN:2331-8422
DOI:10.48550/arxiv.2306.00073