Finite-size effects in one-dimensional Bose–Einstein condensation of photons
The finite-size effect plays a key role in one-dimensional Bose–Einstein condensation (BEC) of photons since such condensation cannot occur in the thermodynamic limit due to the linear dispersion relation of photons. However, since a divergence difficulty arises, the previous theoretical analysis of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-04-01
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| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2022-0031 |
| _version_ | 1811252794529677312 |
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| author | Liu Zhi-Jie Xie Mi |
| author_facet | Liu Zhi-Jie Xie Mi |
| author_sort | Liu Zhi-Jie |
| collection | DOAJ |
| description | The finite-size effect plays a key role in one-dimensional Bose–Einstein condensation (BEC) of photons since such condensation cannot occur in the thermodynamic limit due to the linear dispersion relation of photons. However, since a divergence difficulty arises, the previous theoretical analysis of the finite-size effect often only gives the leading-order contribution. In this article, by using an analytical continuation method to overcome the divergence difficulty, we give an analytical treatment for the finite-size effect in BEC. We show that the deviation between experiment and theory becomes much smaller by taking into account the next-to-leading correction. |
| first_indexed | 2024-04-12T16:40:59Z |
| format | Article |
| id | doaj.art-06de76ca61c543f1a52d820032f49150 |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-04-12T16:40:59Z |
| publishDate | 2022-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-06de76ca61c543f1a52d820032f491502022-12-22T03:24:47ZengDe GruyterOpen Physics2391-54712022-04-0120125926410.1515/phys-2022-0031Finite-size effects in one-dimensional Bose–Einstein condensation of photonsLiu Zhi-Jie0Xie Mi1Department of Physics, School of Science, Tianjin University, Tianjin 300072, ChinaDepartment of Physics, School of Science, Tianjin University, Tianjin 300072, ChinaThe finite-size effect plays a key role in one-dimensional Bose–Einstein condensation (BEC) of photons since such condensation cannot occur in the thermodynamic limit due to the linear dispersion relation of photons. However, since a divergence difficulty arises, the previous theoretical analysis of the finite-size effect often only gives the leading-order contribution. In this article, by using an analytical continuation method to overcome the divergence difficulty, we give an analytical treatment for the finite-size effect in BEC. We show that the deviation between experiment and theory becomes much smaller by taking into account the next-to-leading correction.https://doi.org/10.1515/phys-2022-0031bose–einstein condensationphoton condensationfinite-size effectheat kernel expansion |
| spellingShingle | Liu Zhi-Jie Xie Mi Finite-size effects in one-dimensional Bose–Einstein condensation of photons Open Physics bose–einstein condensation photon condensation finite-size effect heat kernel expansion |
| title | Finite-size effects in one-dimensional Bose–Einstein condensation of photons |
| title_full | Finite-size effects in one-dimensional Bose–Einstein condensation of photons |
| title_fullStr | Finite-size effects in one-dimensional Bose–Einstein condensation of photons |
| title_full_unstemmed | Finite-size effects in one-dimensional Bose–Einstein condensation of photons |
| title_short | Finite-size effects in one-dimensional Bose–Einstein condensation of photons |
| title_sort | finite size effects in one dimensional bose einstein condensation of photons |
| topic | bose–einstein condensation photon condensation finite-size effect heat kernel expansion |
| url | https://doi.org/10.1515/phys-2022-0031 |
| work_keys_str_mv | AT liuzhijie finitesizeeffectsinonedimensionalboseeinsteincondensationofphotons AT xiemi finitesizeeffectsinonedimensionalboseeinsteincondensationofphotons |