论文标题

Landauer的Princple for Fermionic Field在一维袋中

Landauer's princple for Fermionic field in one dimensional bag

论文作者

Cao, Yu-Song, Liu, YanXia, Zhang, Rong

论文摘要

我们研究了Landauer的原则,即在$ 1 + 1 $尺寸腔中线性耦合到Dirac Field的Unruh-Dewitt探测器。当田地的初始状态是真空时,我们会获得热传递,并扰动von Neumann熵变化。对于热态,在相互作用时间足够长并且Unruh-Dewitt检测器与野外模式之一的情况下,传热和熵变化大约获得。与真实的标量场相比,我们发现真空初始状态的结果与狄拉克场的螺旋性仅不同,而当初始状态是热状态时,fermion and Anti-Fermion的区别就会发挥作用。我们还指出,可以通过取粒子$ m \ rightarrow 0 $来获得无质量费米子场的结果。我们发现,在这两种情况下,都满足了Landauer的原则。

We study the Landauer's principle of an Unruh-DeWitt detector linearly coupled to Dirac field in $1 + 1$ dimensional cavity. When the initial state of the field is vacuum, we obtain the heat transfer and von Neumann entropy change perturbatively. For the thermal state, the heat transfer and entropy change are approximately obtained in the case where the interaction time is long enough and the Unruh-DeWitt detector is in resonance with one of the field mode. Compared to the real scalar field, we find the results of vacuum initial state differs solely from the helicity of the Dirac field and the distinguishablity of fermion and anti-fermion comes into play when the initial state is thermal. We also point out that the results for massless fermionic field can be obtained by taking the particle $m\rightarrow 0$. We find that in both cases satisfy Landauer's principle.

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