Anyons in a tight wave-guide and the Tonks-Girardeau gas
We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter $\alpha ∈ ]0,2[$. In the magnetic gauge picture they are described as bosons attached to Aharonov-Bohm fluxes of intensity $2\pi \alpha$, generating long-range magnetic forces. A dimensional reducti...
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| Format: | Article |
| Language: | English |
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SciPost
2023-11-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.6.4.079 |
| _version_ | 1797627591596703744 |
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| author | Nicolas Rougerie, Qiyun Yang |
| author_facet | Nicolas Rougerie, Qiyun Yang |
| author_sort | Nicolas Rougerie, Qiyun Yang |
| collection | DOAJ |
| description | We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter $\alpha ∈ ]0,2[$. In the magnetic gauge picture they are described as bosons attached to Aharonov-Bohm fluxes of intensity $2\pi \alpha$, generating long-range magnetic forces. A dimensional reduction to 1D is obtained by imposing a strongly anisotropic trapping potential. This freezes the motion in the direction of strong trapping, leading to 1D physics along the weak direction. The latter is governed to leading order by the Tonks-Girardeau model of impenetrable bosons, independently of $\alpha$. |
| first_indexed | 2024-03-11T10:27:29Z |
| format | Article |
| id | doaj.art-3f075dd7d9f94c9b9de055a510e48cc1 |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-03-11T10:27:29Z |
| publishDate | 2023-11-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-3f075dd7d9f94c9b9de055a510e48cc12023-11-15T11:22:30ZengSciPostSciPost Physics Core2666-93662023-11-016407910.21468/SciPostPhysCore.6.4.079Anyons in a tight wave-guide and the Tonks-Girardeau gasNicolas Rougerie, Qiyun YangWe consider a many-body system of 2D anyons, free quantum particles with general statistics parameter $\alpha ∈ ]0,2[$. In the magnetic gauge picture they are described as bosons attached to Aharonov-Bohm fluxes of intensity $2\pi \alpha$, generating long-range magnetic forces. A dimensional reduction to 1D is obtained by imposing a strongly anisotropic trapping potential. This freezes the motion in the direction of strong trapping, leading to 1D physics along the weak direction. The latter is governed to leading order by the Tonks-Girardeau model of impenetrable bosons, independently of $\alpha$.https://scipost.org/SciPostPhysCore.6.4.079 |
| spellingShingle | Nicolas Rougerie, Qiyun Yang Anyons in a tight wave-guide and the Tonks-Girardeau gas SciPost Physics Core |
| title | Anyons in a tight wave-guide and the Tonks-Girardeau gas |
| title_full | Anyons in a tight wave-guide and the Tonks-Girardeau gas |
| title_fullStr | Anyons in a tight wave-guide and the Tonks-Girardeau gas |
| title_full_unstemmed | Anyons in a tight wave-guide and the Tonks-Girardeau gas |
| title_short | Anyons in a tight wave-guide and the Tonks-Girardeau gas |
| title_sort | anyons in a tight wave guide and the tonks girardeau gas |
| url | https://scipost.org/SciPostPhysCore.6.4.079 |
| work_keys_str_mv | AT nicolasrougerieqiyunyang anyonsinatightwaveguideandthetonksgirardeaugas |