Clustering Theorem for Bose-Hubbard class Gibbs states
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915897616105472 |
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| author | Tong, Xin-Hai Kuwahara, Tomotaka Gong, Zongping |
| author_facet | Tong, Xin-Hai Kuwahara, Tomotaka Gong, Zongping |
| contents | We establish the exponential clustering of correlation functions for the high-temperature Gibbs states of Bose-Hubbard type models. To overcome the technical difficulties arising from the unboundedness of bosonic operators, we develop the interaction-picture cluster-expansion technique. This method also allows us to systematically bound the moments of the local particle number. This result provides an analytical justification for the low-boson-density condition frequently assumed in the study of bosonic many-body systems. As direct mathematical consequences of the clustering property, we derive a uniform upper bound on the specific heat density and establish a bosonic thermal area law with improved temperature dependence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10759 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Clustering Theorem for Bose-Hubbard class Gibbs states Tong, Xin-Hai Kuwahara, Tomotaka Gong, Zongping Statistical Mechanics Mathematical Physics We establish the exponential clustering of correlation functions for the high-temperature Gibbs states of Bose-Hubbard type models. To overcome the technical difficulties arising from the unboundedness of bosonic operators, we develop the interaction-picture cluster-expansion technique. This method also allows us to systematically bound the moments of the local particle number. This result provides an analytical justification for the low-boson-density condition frequently assumed in the study of bosonic many-body systems. As direct mathematical consequences of the clustering property, we derive a uniform upper bound on the specific heat density and establish a bosonic thermal area law with improved temperature dependence. |
| title | Clustering Theorem for Bose-Hubbard class Gibbs states |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2411.10759 |