Speaker
Description
We study the dynamics of mixed-state entanglement in a minimal model of quantum chaos, the kicked field Ising model, using a class of solvable initial states. By combining the replica trick with the space-time duality of the model, we show that the exact spectrum of the partially transposed reduced density matrix is flat at early times. This leads to exact relations between entanglement negativity, odd entropy and R´enyi mutual information. Extensive numerical simulations also demonstrate that this relation remains quantitatively valid for generic initial states and at late times, motivating the conjecture that it holds in general. Our results indicate that this relation extends beyond the present minimal model to more general Ising-type quantum spin chains.