Thermal excitation spectrum from entanglement in an expanding quantum string
Thermal excitation spectrum from entanglement in an expanding quantum string
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DOI：
10.1016/j.physletb.2018.01.068
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发表时间：
2017-07
影响因子：
4.4
通讯作者：
J. Berges;S. Floerchinger;R. Venugopalan
中科院分区：
文献类型：
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作者：
J. Berges;S. Floerchinger;R. Venugopalan
在e+ e−碰撞中，一个令人惊讶的结果是，来自膨胀的夸克-反夸克对之间形成的弦的粒子谱具有热性质，尽管散射似乎不足以解释这一点。我们解决这个问题，通过考虑有限的可观察的相对论性量子弦的间隔在其约化密度算子的补充区域跟踪。我们展示了如何在时空中的一个视界的存在下，量子纠缠的因果信息传输导致本地的一个减少的混合态密度算子。对于非常早的真时τ，我们证明了纠缠熵变得广泛，并与快度成正比。在这些早期，约化密度算符是热形式的，即使在没有任何散射的情况下，纠缠温度T τ= progol/（2 π k B τ）。
A surprising result in e+ e− collisions is that the particle spectra from the string formed between the expanding quark–antiquark pair have thermal properties even though scatterings appear not to be frequent enough to explain this. We address this problem by considering the finite observable interval of a relativistic quantum string in terms of its reduced density operator by tracing over the complement region. We show how quantum entanglement in the presence of a horizon in spacetime for the causal transfer of information leads locally to a reduced mixed-state density operator. For very early proper time τ, we show that the entanglement entropy becomes extensive and scales with the rapidity. At these early times, the reduced density operator is of thermal form, with an entanglement temperature T τ= ħ/(2 π k B τ), even in the absence of any scatterings.