Exact Spectral Function of One-Dimensional Bose Gases
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866912600270307328 |
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| author | Cheng, Song Chen, Yang-Yang Guan, Xi-Wen Yang, Wen-Li Mondaini, Rubem Lin, Hai-Qing |
| author_facet | Cheng, Song Chen, Yang-Yang Guan, Xi-Wen Yang, Wen-Li Mondaini, Rubem Lin, Hai-Qing |
| contents | Exactly solved models provide rigorous understanding of many-body phenomena in strongly correlated systems. In this article, we report a breakthrough in uncovering universal many-body correlated properties of quantum integrable Lieb-Liniger model. We calculate exactly the dynamical correlation functions by computing the form factor through a newly developed method, by which we are capable of calculating all possible "relative excitations" over the ground state or a finite temperature state at a high precision. Consequently, full spectral functions obtained for the model manifests the unique power-law singularity behaviour at the spectral threshold, confirming the validity of nonlinear Luttinger liquid theory. Our method advances the theory of dynamical correlation functions with high precision towards the thermodynamic limit, and is capable of benchmarking experimental observation of such novel correlated properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_15221 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Exact Spectral Function of One-Dimensional Bose Gases Cheng, Song Chen, Yang-Yang Guan, Xi-Wen Yang, Wen-Li Mondaini, Rubem Lin, Hai-Qing Quantum Gases Statistical Mechanics Quantum Physics Exactly solved models provide rigorous understanding of many-body phenomena in strongly correlated systems. In this article, we report a breakthrough in uncovering universal many-body correlated properties of quantum integrable Lieb-Liniger model. We calculate exactly the dynamical correlation functions by computing the form factor through a newly developed method, by which we are capable of calculating all possible "relative excitations" over the ground state or a finite temperature state at a high precision. Consequently, full spectral functions obtained for the model manifests the unique power-law singularity behaviour at the spectral threshold, confirming the validity of nonlinear Luttinger liquid theory. Our method advances the theory of dynamical correlation functions with high precision towards the thermodynamic limit, and is capable of benchmarking experimental observation of such novel correlated properties. |
| title | Exact Spectral Function of One-Dimensional Bose Gases |
| topic | Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2209.15221 |