论文标题

建造费米昂的墙的成本

The cost of building a wall for a fermion

论文作者

Mokhtar, Wan Mohamad Husni Wan, Louko, Jorma

论文摘要

我们分析了(1+1) - 二维Minkowski时空的建筑物或拆除壁的能源成本,以及Unruh-Dewitt粒子探测器对生成的辐射的响应。对于任何平稳进化的壁,田地的能量密度和检测器的响应都是有限的。在快速壁的产生或拆除的极限下,能量密度显示三角函数平方的差异。相比之下,在一阶扰动理论中评估的Unruh-Dewitt检测器的响应仅在壁演化的持续时间内与对数分歧。结果增加了证据表明,局部物质系统可能对快速壁创造的敏感不如可观察物的局部期望值敏感。这种差异对量子信息保存方案具有潜在的兴趣。

We analyse the energy cost of building or demolishing a wall for a massless Dirac field in (1+1)-dimensional Minkowski spacetime and the response of an Unruh-DeWitt particle detector to the generated radiation. For any smoothly-evolving wall, both the field's energy density and the detector's response are finite. In the limit of rapid wall creation or demolition, the energy density displays a delta function squared divergence. By contrast, the response of an Unruh-DeWitt detector, evaluated within first-order perturbation theory, diverges only logarithmically in the duration of the wall evolution. The results add to the evidence that a localised matter system may not be as sensitive to the rapid wall creation as the local expectation values of field observables. This disparity has potential interest for quantum information preservation scenarios.

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