论文标题
外来振荡器的紧急熵和三波混合过程中的挤压
Emergent entropy of exotic oscillators and squeezing in three-wave mixing process
论文作者
论文摘要
我们通过计算von Noumann熵测量的von Neumann熵来测量的，源振荡器（“异国情调振荡器”）的谐波振荡器系统的空间自由度之间存在纠缠的存在。可以明确验证纠缠是由非交通性产生的，该非交换性控制空间模式之间的耦合强度。这很容易被推广到动量成分也满足非交通关系的情况，从而使整个相位空间变得不合时宜。在前一种情况下，即，当仅存在空间非交通性时，基本的数学结构让人联想到unruh效应，如林德勒观察者所观察到的，其加速度现在与非交流参数有关。结果表明，在存在谐波相互作用的情况下，Landau问题给出了这种效果的具体物理实现。最后，我们表明相位空间的非交换性可以引起挤压的非经典作用，这是由于三波混合过程中介质的非线性导致的。
We demonstrate the existence of entanglement between the spatial degrees of freedom of a system of harmonic oscillators placed in the noncommutative Moyal plane ("exotic oscillators") by computing the entanglement entropy as measured by the von Neumann entropy of the reduced density matrix. It is explicitly verified that the entanglement arises from the noncommutativity, which controls the coupling strength between the spatial modes. This can easily be generalised to the case where the momentum components also satisfy noncommutative relations, so that the entire phase space becomes noncommutative. In the former case, i.e. when only the spatial noncommutativity is present, the underlying mathematical structure is reminiscent of the Unruh effect, as observed by a Rindler observer whose acceleration now gets related to the noncommutative parameter. It is shown that the Landau problem in the presence of a harmonic interaction gives a concrete physical realisation of this effect. Finally, we show that phase-space noncommutativity can give rise to a the non-classical effect of squeezing, which results from the non-linearity of a medium in a three-wave mixing process.
