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

• URL: http://arxiv.org/abs/2507.10856v1
• Date: Mon, 14 Jul 2025 23:05:45 GMT
• Title: Higher spin Richardson-Gaudin model with time-dependent coupling: Exact dynamics
• Authors: Suvendu Barik, Lieuwe Bakker, Vladimir Gritsev, Jiří Minář, Emil A. Yuzbashyan,
• Abstract summary: We determine the exact many-body wavefunction of a spin-$s$ Richardson-Gaudin model with a coupling inversely proportional to time.<n> Contrary to common belief, the resulting wavefunction cannot be derived from the spin-$1/2$ case by merging spins.<n>We show that mean-field theory is exact for any product of a finite number of spin operators on different sites.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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