标题： 具有时间依赖耦合的高自旋Richardson-Gaudin模型：精确动力学 显示英文标题

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

摘要： 我们确定了自旋为$s$的 Richardson-Gaudin 模型在耦合与时间成反比的情况下，从$t = 0^+$处的基态开始时间演化时的精确渐近多体波函数，并且对于任意的$s$都成立。 与普遍观点相反，所得的波函数不能通过合并自旋来从自旋为$1/2$的情况推导出来，而是需要对每种自旋大小进行独立处理。 稳态是非热的，并且与自旋为$1/2$的情况不同，它不符合自然的广义 Gibbs 系综。 我们证明了平均场理论对于不同位点上有限个自旋算符的乘积是精确的。 我们讨论了这些发现如何在腔量子电动力学和囚禁离子实验中进行探测。 显示英文摘要

摘要： 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.