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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2301.02164 |
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| _version_ | 1866913338384973824 |
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| author | Gamayun, Oleksandr Quinn, Eoin Bidzhiev, Kemal Zvonarev, Mikhail B. |
| author_facet | Gamayun, Oleksandr Quinn, Eoin Bidzhiev, Kemal Zvonarev, Mikhail B. |
| contents | We propose a transformation for spin and charge degrees of freedom in one-dimensional lattice systems, constrained to have no doubly occupied sites, that allows direct access to the dynamical correlations of the system. The transformation delivers particle creation and annihilation operators in a form of a spinless particle and a non-local operator acting on the space of states of a spin-$1/2$ chain. This permits a decomposition of dynamical correlation functions as a convolution of those for impenetrable anyons together with those of a spin chain. Further analysis can be done by methods tailored for each part of the convolution, greatly increasing the impact and flexibility of the approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02164 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Emergence of anyonic correlations from spin and charge dynamics in one dimension Gamayun, Oleksandr Quinn, Eoin Bidzhiev, Kemal Zvonarev, Mikhail B. Quantum Gases Quantum Physics We propose a transformation for spin and charge degrees of freedom in one-dimensional lattice systems, constrained to have no doubly occupied sites, that allows direct access to the dynamical correlations of the system. The transformation delivers particle creation and annihilation operators in a form of a spinless particle and a non-local operator acting on the space of states of a spin-$1/2$ chain. This permits a decomposition of dynamical correlation functions as a convolution of those for impenetrable anyons together with those of a spin chain. Further analysis can be done by methods tailored for each part of the convolution, greatly increasing the impact and flexibility of the approach. |
| title | Emergence of anyonic correlations from spin and charge dynamics in one dimension |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2301.02164 |