No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917462986981376 |
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| author | Sekine, Yoshitsugu |
| author_facet | Sekine, Yoshitsugu |
| contents | We analyze the possibility of Bose-Einstein condensation (BEC) at finite temperature in the spin-boson model within the frameworks of functional integral representations and the resolvent algebra. Because a sesquilinear form arising from the zero mode appears, analogous to the case of the free Bose gas, a BEC-type component is also formally present in the spin-boson model. However, according to arxiv:1207.4621, quasiparticles do not undergo BEC, so an argument is needed to exclude this possibility. In particular, for moderate equilibrium states defined by following the formulation of that paper, a no-go theorem for BEC is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27904 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model Sekine, Yoshitsugu Mathematical Physics We analyze the possibility of Bose-Einstein condensation (BEC) at finite temperature in the spin-boson model within the frameworks of functional integral representations and the resolvent algebra. Because a sesquilinear form arising from the zero mode appears, analogous to the case of the free Bose gas, a BEC-type component is also formally present in the spin-boson model. However, according to arxiv:1207.4621, quasiparticles do not undergo BEC, so an argument is needed to exclude this possibility. In particular, for moderate equilibrium states defined by following the formulation of that paper, a no-go theorem for BEC is obtained. |
| title | No-Go Theorem for Quasiparticle BEC in the Spin-Boson Model |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2604.27904 |