Unified theory of attractive and repulsive polarons in one-dimensional Bose gas
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916983108272128 |
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| author | Yegovtsev, Nikolay Yoğurt, T. Alper Eiles, Matthew T. Gurarie, Victor |
| author_facet | Yegovtsev, Nikolay Yoğurt, T. Alper Eiles, Matthew T. Gurarie, Victor |
| contents | We present a unified description of attractive and repulsive polarons, formed in a one-dimensional Bose gas hosting an impurity particle, by obtaining all ground and excited state solutions to the Gross-Pitaevskii equation. Modeling the impurity with an attractive square-well potential, we characterize the excited-state energy branches as a function of interaction strength. As the impurity-bath coupling increases, the excited states change from distinct soliton configurations to hybridized soliton-polaron states, eventually crossing over from repulsive to attractive polarons at unitarity. We identify a universal regime near this crossover where the polaron properties are accurately characterized by the zero-energy scattering length. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01046 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unified theory of attractive and repulsive polarons in one-dimensional Bose gas Yegovtsev, Nikolay Yoğurt, T. Alper Eiles, Matthew T. Gurarie, Victor Quantum Gases We present a unified description of attractive and repulsive polarons, formed in a one-dimensional Bose gas hosting an impurity particle, by obtaining all ground and excited state solutions to the Gross-Pitaevskii equation. Modeling the impurity with an attractive square-well potential, we characterize the excited-state energy branches as a function of interaction strength. As the impurity-bath coupling increases, the excited states change from distinct soliton configurations to hybridized soliton-polaron states, eventually crossing over from repulsive to attractive polarons at unitarity. We identify a universal regime near this crossover where the polaron properties are accurately characterized by the zero-energy scattering length. |
| title | Unified theory of attractive and repulsive polarons in one-dimensional Bose gas |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2510.01046 |