论文标题
各向异性中央旋转模型中的集成性和暗状态
Integrability and dark states in an anisotropic central spin model
论文作者
论文摘要
中央自旋模型描述了各种量子系统，其中自旋1/2量子位与周围旋转的浴场相互作用，如钻石中的量子点和缺陷中心所实现的那样。我们表明，具有（XX）海森贝格相互作用的完全各向异性中央自旋哈密顿量是可以集成的。在可综合的理查森 - 戈丁模型的基础上，我们得出了一组广泛的保守数量，并使用贝特·安萨兹（Bethe Ansatz）获得了确切的特征态。这些状态分为两个指数级的大阶层：明亮的状态，量子与浴室纠缠在一起，而黑暗状态则没有。我们讨论了黑色状态如何限制量子辅助的自旋浴极化，并为量子状态提供可靠的长寿命量子记忆。
Central spin models describe a variety of quantum systems in which a spin-1/2 qubit interacts with a bath of surrounding spins, as realized in quantum dots and defect centers in diamond. We show that the fully anisotropic central spin Hamiltonian with (XX) Heisenberg interactions is integrable. Building on the class of integrable Richardson-Gaudin models, we derive an extensive set of conserved quantities and obtain the exact eigenstates using the Bethe ansatz. These states divide into two exponentially large classes: bright states, where the qubit is entangled with the bath, and dark states, where it is not. We discuss how dark states limit qubit-assisted spin bath polarization and provide a robust long-lived quantum memory for qubit states.
