非厄米拓扑在驱动-耗散系统中的研究：与量子关联的对应关系及作为纠缠的资源
Non-Hermitian topology in driven-dissipative systems: correspondence with quantum correlations and a resource for entanglement
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中文总结 AI 辅助
本文研究驱动-耗散系统中的非厄米拓扑，发现其与量子关联对应，并为纠缠提供资源，推导解析表达式，揭示关联指数增长及拓扑相变特征。
中文摘要 AI 辅助
定向放大，即信号根据其传播方向被选择性地放大，是量子信息处理的关键资源，并且与非平凡的厄米拓扑一一对应。到目前为止，这种对应关系涉及平均场，因此是经典响应。在这里，我们转向量子涨落，从而获得关联和纠缠。对于相位保持放大器，我们推导了正常关联和反常关联的解析表达式，表明非平凡拓扑产生的关联随模式间距离呈指数增长，并接近与不确定性关系相容的最大值。相应的关联长度在拓扑相变处发散。然而，纠缠仍然是局域的，由归一化反常关联与模式占据不对称性之间的竞争决定。对于玻色子Kitaev链，一种相位敏感放大器，系统反而分裂成两半，内部完全关联但彼此不关联。我们的工作为利用腔光力学和超导电路等最先进平台探索非厄米拓扑系统的量子性质奠定了基础。
英文摘要
Directional amplification, in which signals are amplified selectively depending on their propagation direction, is a key resource for quantum information processing and stands in one-to-one correspondence with non-trivial non-Hermitian topology. So far, this correspondence has concerned the mean fields, and thus classical response. Here we turn to the quantum fluctuations, giving access to correlations and entanglement. For phase-preserving amplifiers, we derive analytic expressions for the normal and anomalous correlations, showing that non-trivial topology produces correlations that grow exponentially with the distance between modes and approach the largest values compatible with the uncertainty relations. The associated correlation length diverges at the topological phase transition. Entanglement nonetheless remains local, set by the competition between normalised anomalous correlations and the asymmetry of the mode occupations. For the bosonic Kitaev chain, a phase-sensitive amplifier, the system instead splits into two halves that are internally fully correlated yet mutually uncorrelated. Our work prepares the ground for exploring the quantum properties of non-Hermitian topological systems with state-of-the-art platforms such as cavity optomechanics and superconducting circuits.
发表机构
- Max Planck Institute for the Science of Light（马克斯·普朗克光科学研究所）
- University of Erlangen-Nuremberg（埃尔朗根-纽伦堡大学）
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