A perspective on anyonic braiding statistics
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914726942867456 |
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| author | Read, Nicholas Sarma, Sankar Das |
| author_facet | Read, Nicholas Sarma, Sankar Das |
| contents | We comment on the significance of the results in the paper by Nakamura et al (2020). The experimental result measures the phase for a repeated elementary exchange of two identical quasiparticles, and shows that the quasiparticles are anyons. The value of the phase agrees with theoretical predictions. However, in terms of the statistics parameter $θ$ for a single elementary exchange, it determines $2θ$ modulo $2π$, and hence $θ$ only modulo $π$, not modulo $2π$, and so does not fully check the theoretical prediction for the braiding statistics of charge $e/3$ quasiparticles. This is a general shortcoming of this particular type of interference measurement of statistics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12986 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A perspective on anyonic braiding statistics Read, Nicholas Sarma, Sankar Das Mesoscale and Nanoscale Physics We comment on the significance of the results in the paper by Nakamura et al (2020). The experimental result measures the phase for a repeated elementary exchange of two identical quasiparticles, and shows that the quasiparticles are anyons. The value of the phase agrees with theoretical predictions. However, in terms of the statistics parameter $θ$ for a single elementary exchange, it determines $2θ$ modulo $2π$, and hence $θ$ only modulo $π$, not modulo $2π$, and so does not fully check the theoretical prediction for the braiding statistics of charge $e/3$ quasiparticles. This is a general shortcoming of this particular type of interference measurement of statistics. |
| title | A perspective on anyonic braiding statistics |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2308.12986 |