A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909416433909760 |
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| author | Bernard, Pierre-Antoine Poliquin, Étienne Vinet, Luc |
| author_facet | Bernard, Pierre-Antoine Poliquin, Étienne Vinet, Luc |
| contents | It is shown how the spin chain based on the dual $q$-Krawtchouk polynomials is connected to a weighted hypercube through the use of $q$-Dicke states. The representation theoretic underpinnings based on the quantum algebra $U_q(\mathfrak{su}(2))$ are emphasized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14388 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states Bernard, Pierre-Antoine Poliquin, Étienne Vinet, Luc Mathematical Physics Quantum Physics 16T30, 81R50, 33D45 It is shown how the spin chain based on the dual $q$-Krawtchouk polynomials is connected to a weighted hypercube through the use of $q$-Dicke states. The representation theoretic underpinnings based on the quantum algebra $U_q(\mathfrak{su}(2))$ are emphasized. |
| title | A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states |
| topic | Mathematical Physics Quantum Physics 16T30, 81R50, 33D45 |
| url | https://arxiv.org/abs/2408.14388 |