Higher spin Richardson-Gaudin model with time-dependent coupling: Exact dynamics
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915981656326144 |
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| author | Barik, Suvendu Bakker, Lieuwe Gritsev, Vladimir Minář, Jiří Yuzbashyan, Emil A. |
| author_facet | Barik, Suvendu Bakker, Lieuwe Gritsev, Vladimir Minář, Jiří Yuzbashyan, Emil A. |
| contents | We determine the exact asymptotic many-body wavefunction of a spin-$s$ Richardson-Gaudin model with a coupling inversely proportional to time, for time evolution starting from the ground state at $t = 0^+$ and for arbitrary $s$. Contrary to common belief, the resulting wavefunction cannot be derived from the spin-$1/2$ case by merging spins, but instead requires independent treatment for each spin size. The steady state is non-thermal and, in contrast to the spin-$1/2$ case, does not conform to a natural Generalized Gibbs Ensemble. We show that mean-field theory is exact for any product of a finite number of spin operators on different sites. We discuss how these findings can be probed in cavity QED and trapped ion experiments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_10856 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher spin Richardson-Gaudin model with time-dependent coupling: Exact dynamics Barik, Suvendu Bakker, Lieuwe Gritsev, Vladimir Minář, Jiří Yuzbashyan, Emil A. Quantum Physics Quantum Gases Statistical Mechanics Superconductivity Mathematical Physics We determine the exact asymptotic many-body wavefunction of a spin-$s$ Richardson-Gaudin model with a coupling inversely proportional to time, for time evolution starting from the ground state at $t = 0^+$ and for arbitrary $s$. Contrary to common belief, the resulting wavefunction cannot be derived from the spin-$1/2$ case by merging spins, but instead requires independent treatment for each spin size. The steady state is non-thermal and, in contrast to the spin-$1/2$ case, does not conform to a natural Generalized Gibbs Ensemble. We show that mean-field theory is exact for any product of a finite number of spin operators on different sites. We discuss how these findings can be probed in cavity QED and trapped ion experiments. |
| title | Higher spin Richardson-Gaudin model with time-dependent coupling: Exact dynamics |
| topic | Quantum Physics Quantum Gases Statistical Mechanics Superconductivity Mathematical Physics |
| url | https://arxiv.org/abs/2507.10856 |