论文标题
监视量子电路中的非热拓扑
Non-Hermitian topology in monitored quantum circuits
论文作者
论文摘要
我们证明，在受监视的量子电路中，可以自然实现真正的非热拓扑阶段和相应的拓扑相变，这是由范式的非弱点Su-Schrieffer-Heeger模型体现的。我们通过在单一动力学下演变的一维无旋电子链效仿该模型，并经过随机调用的定期测量。在适应受监视电路的环境的拓扑不变性中可见，非热拓扑是可见的。例如，从监测系统的有效的哈密顿量计算出的生物三相偏振，从有效的Hamiltonian计算得出的非su-Schrieffer-Heeger模型的监视实现的拓扑相图。重要的是，我们的受监视电路实现可以直接访问通用可观察物的稳态生物三相期望值，因此可以测量真正的非铁元模型的物理性质。我们预计我们的结果将更普遍地适用于主持非热拓扑阶段的各种模型。
We demonstrate that genuinely non-Hermitian topological phases and corresponding topological phase transitions can be naturally realized in monitored quantum circuits, exemplified by the paradigmatic non-Hermitian Su-Schrieffer-Heeger model. We emulate this model by a 1D chain of spinless electrons evolving under unitary dynamics and subject to periodic measurements that are stochastically invoked. The non-Hermitian topology is visible in topological invariants adapted to the context of monitored circuits. For instance, the topological phase diagram of the monitored realization of the non-Hermitian Su-Schrieffer-Heeger model is obtained from the biorthogonal polarization computed from an effective Hamiltonian of the monitored system. Importantly, our monitored circuit realization allows direct access to steady state biorthogonal expectation values of generic observables, and hence, to measure physical properties of a genuine non-Hermitian model. We expect our results to be applicable more generally to a wide range of models that host non-Hermitian topological phases.
