We determine the exact asymptotic many-body wave function 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 wave function 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 nonthermal 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.

Close

PrevNext

View figure in article

• Landau-Zener effect
• Quantum statistical mechanics
• Quantum many-body systems
• Trapped ions
• Exact solutions for many-body systems
• Integrable systems