论文标题
纠缠楔横截面的现场理论研究：奇熵
A Field Theory Study of Entanglement Wedge Cross Section: Odd Entropy
论文作者
论文摘要
我们研究了奇怪的纠缠熵（简而言之奇怪的熵），这是在二维自由标量场理论中的混合状态全息二重性的候选。我们的研究仅限于高斯的规模不变理论及其有限温度概括，为此我们表明，奇怪的熵是混合状态的明确定义的量度。还研究了奇数和冯·诺伊曼熵之间的差异。特别是，我们表明大量的量子相关性确保奇怪的熵大于von Neumann熵，这与全息CFT在质量上是一致的。在一般情况下，我们还发现，相对于（和距离）子系统的大小（和距离），这种差异甚至不是单调函数。
We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to Gaussian states of scale-invariant theories as well as their finite temperature generalizations, for which we show that the odd entropy is a well-defined measure for mixed states. Motivated from holographic results, the difference between odd and von Neumann entropy is also studied. In particular, we show that large amounts of quantum correlations ensure the odd entropy to be larger than von Neumann entropy, which is qualitatively consistent with the holographic CFT. In general cases, we also find that this difference is not even a monotonic function with respect to size of (and distance between) subsystems.
