Anyonization of bosons in one dimension: an effective swap model
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915266973138944 |
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| author | Wang, Botao Vashisht, Amit Guo, Yanliang Dhar, Sudipta Landini, Manuele Nägerl, Hanns-Christoph Goldman, Nathan |
| author_facet | Wang, Botao Vashisht, Amit Guo, Yanliang Dhar, Sudipta Landini, Manuele Nägerl, Hanns-Christoph Goldman, Nathan |
| contents | Anyons emerge as elementary excitations in low-dimensional quantum systems and exhibit behavior distinct from bosons or fermions. Previous models of anyons in one dimension (1D) are mainly categorized into two types: those that rely on nontrivial scattering behavior, and those based on density-dependent hopping processes in discrete lattices. Here, we introduce a novel framework for realizing anyonic correlations using the internal degrees of freedom of a spinor quantum gas. We propose a "swap" model, which assigns a complex phase factor to the swapping processes between two different species, referred to as "host particles" and "impurities". The anyonic characteristics are demonstrated through the one-body correlator of the impurity, using a spin-charge separation analysis. For a single impurity, our swap model can be effectively implemented by applying tilt potentials in a strongly interacting quantum gas [Dhar et al., arXiv:2412.21131]. We further explore the dynamical properties of anyonic correlations and extend our analysis to the case of multiple impurities. Our work provides new avenues for engineering many-body anyonic behavior in quantum simulation platforms. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_21208 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anyonization of bosons in one dimension: an effective swap model Wang, Botao Vashisht, Amit Guo, Yanliang Dhar, Sudipta Landini, Manuele Nägerl, Hanns-Christoph Goldman, Nathan Quantum Gases Mesoscale and Nanoscale Physics Quantum Physics Anyons emerge as elementary excitations in low-dimensional quantum systems and exhibit behavior distinct from bosons or fermions. Previous models of anyons in one dimension (1D) are mainly categorized into two types: those that rely on nontrivial scattering behavior, and those based on density-dependent hopping processes in discrete lattices. Here, we introduce a novel framework for realizing anyonic correlations using the internal degrees of freedom of a spinor quantum gas. We propose a "swap" model, which assigns a complex phase factor to the swapping processes between two different species, referred to as "host particles" and "impurities". The anyonic characteristics are demonstrated through the one-body correlator of the impurity, using a spin-charge separation analysis. For a single impurity, our swap model can be effectively implemented by applying tilt potentials in a strongly interacting quantum gas [Dhar et al., arXiv:2412.21131]. We further explore the dynamical properties of anyonic correlations and extend our analysis to the case of multiple impurities. Our work provides new avenues for engineering many-body anyonic behavior in quantum simulation platforms. |
| title | Anyonization of bosons in one dimension: an effective swap model |
| topic | Quantum Gases Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2504.21208 |