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arXiv · 2507.10856

Higher spin Richardson-Gaudin model with time-dependent coupling: Exact dynamics

Suvendu Barik·Lieuwe Bakker·Vladimir Gritsev·Jiří Minář·Emil A. Yuzbashyan
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Abstract

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.

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Suvendu Barik, Lieuwe Bakker, Vladimir Gritsev, Jiří Minář, Emil A. Yuzbashyan. 2025-07-14. Higher spin Richardson-Gaudin model with time-dependent coupling: Exact dynamics. https://doi.org/10.1103/c8vm-hz26

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