典型量子相干的展宽与不对称性及其对玻璃态无序的抑制响应
Spread and asymmetry of typical quantum coherence and their inhibition in response to glassy disorder
AI总结：
该研究分析了典型redit与qudit的平均量子相干特性，探究玻璃态无序对量子相干展宽的抑制作用及维度、无序类型对分布不对称性的影响，揭示了相关普遍规律。
摘要：
我们研究了典型redit（实希尔伯特空间向量）和qudit（复希尔伯特空间向量）的平均量子相干，其解析形式源于Haar均匀分布随机纯态的对称性。随后我们探究了玻璃态无序下典型量子相干展宽对无序的响应，无序被引入态参数中。即使在无无序情况下，redit与qudit的量子相干分布在量子相干取值范围内也并非均匀分布，且维度越高展宽越小。引入无序后，展宽会减小。研究发现，这种量子相干分布展宽随无序减小的现象是典型纯态的普遍特征：我们在不同无序强度以及多种无序分布（即高斯分布、均匀分布和柯西-洛伦兹分布）下均观测到该特征。我们还发现，随着维度升高以及玻璃态无序的注入，量子相干分布的不对称性会降低。
英文摘要：
We consider the average quantum coherences of typical redits and qudits - vectors of real and complex Hilbert spaces - with the analytical forms stemming from the symmetry of Haar-uniformly distributed random pure states. We subsequently study the response to disorder in spread of the typical quantum coherence in response to glassy disorder. The disorder is inserted in the state parameters. Even in the absence of disorder, the quantum coherence distributions of redits and qudits are not uniform over the range of quantum coherence, and the spreads are lower for higher dimensions. On insertion of disorder, the spreads decrease. This decrease in the spread of quantum coherence distribution in response to disorder is seen to be a generic feature of typical pure states: we observe the feature for different strengths of disorder and for various types of disorder distributions, viz. Gaussian, uniform, and Cauchy-Lorentz. We also find that the quantum coherence distributions become less asymmetric with increase in dimension and with infusion of glassy disorder.
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