One-body correlations and momentum distributions of trapped one-dimensional Bose gases at finite temperature
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909548473745408 |
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| author | Takács, Attila Zhang, Yicheng Calabrese, Pasquale Dubail, Jerôme Rigol, Marcos Scopa, Stefano |
| author_facet | Takács, Attila Zhang, Yicheng Calabrese, Pasquale Dubail, Jerôme Rigol, Marcos Scopa, Stefano |
| contents | We introduce a general approximate method for calculating the one-body correlations and the momentum distributions of one-dimensional Bose gases at finite interaction strengths and temperatures trapped in smooth confining potentials. Our method combines asymptotic techniques for the long-distance behavior of the gas (similar to Luttinger liquid theory) with known short-distance expansions. We derive analytical results for the limiting cases of strong and weak interactions, and provide a general procedure for calculating one-body correlations at any interaction strength. A step-by-step explanation of the numerical method used to compute Green's functions (needed as input to our theory) is included. We benchmark our method against exact numerical calculations and compare its predictions to recent experimental results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16929 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-body correlations and momentum distributions of trapped one-dimensional Bose gases at finite temperature Takács, Attila Zhang, Yicheng Calabrese, Pasquale Dubail, Jerôme Rigol, Marcos Scopa, Stefano Statistical Mechanics Quantum Gases We introduce a general approximate method for calculating the one-body correlations and the momentum distributions of one-dimensional Bose gases at finite interaction strengths and temperatures trapped in smooth confining potentials. Our method combines asymptotic techniques for the long-distance behavior of the gas (similar to Luttinger liquid theory) with known short-distance expansions. We derive analytical results for the limiting cases of strong and weak interactions, and provide a general procedure for calculating one-body correlations at any interaction strength. A step-by-step explanation of the numerical method used to compute Green's functions (needed as input to our theory) is included. We benchmark our method against exact numerical calculations and compare its predictions to recent experimental results. |
| title | One-body correlations and momentum distributions of trapped one-dimensional Bose gases at finite temperature |
| topic | Statistical Mechanics Quantum Gases |
| url | https://arxiv.org/abs/2409.16929 |