In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian dynamics for quantum systems is a challenge because the processes of energy gain and dissipation are based on the underlying Hermitian system–environment dynamics, which are trace preserving. Recently, a scheme for engineering non-Hermitian Hamiltonians as a result of repetitive measurements on an ancillary qubit has been proposed. The induced conditional dynamics of the main system is described by the effective non-Hermitian Hamiltonian arising from the procedure. In this paper, we demonstrate the effectiveness of such a protocol by applying it to physically relevant multi-spin models, showing that the effective non-Hermitian Hamiltonian drives the system to a maximally entangled stationary state. In addition, we report a new recipe to construct a physical scenario where the quantum dynamics of a physical system represented by a given non-Hermitian Hamiltonian model may be simulated. The physical implications and the broad scope potential applications of such a scheme are highlighted.

中文翻译：

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通过非厄米哈密顿量产生的双量子位纠缠由对辅助物的重复测量引起

与经典系统相比，量子系统的非厄米哈密顿动力学的实际实现是一个挑战，因为能量增益和耗散过程是基于潜在的厄米系统 - 环境动力学，这是痕迹保留。最近，已经提出了一种工程非厄米哈密顿量的方案，该方案是对辅助量子位进行重复测量的结果。主系统的诱导条件动力学由程序产生的有效非厄米哈密顿量描述。在本文中，我们通过将其应用于物理相关的多自旋模型来证明这种协议的有效性，表明有效的非厄米哈密顿量将系统驱动到最大纠缠态。此外，我们报告了一种构建物理场景的新方法，其中可以模拟由给定的非厄米哈密顿模型表示的物理系统的量子动力学。强调了这种方案的物理意义和广泛的潜在应用。