论文标题

Minkowski和充满真空状态的均匀加速量子计数检测器

Uniformly accelerated quantum counting detector in Minkowski and Fulling vacuum states

论文作者

Soares, M. S., Svaiter, N. F., Zarro, C. A. D., Menezes, G.

论文摘要

在这项工作中,我们讨论了检测器在均匀加速的直线运动中的测量过程,与大规模的标量场线性相互作用。场量子的检测器模型是一个具有基态和无限状态的连续体的点状系统。我们采用了Glauber的光电检测理论。在统一加速的参考框架中,该检测器与在Rindler Fock空间的任意状态下制备的场相互作用,仅通过吸收过程而激发。对于在基态下制备的均匀加速检测器,我们评估了三种重要情况下的过渡概率率。在第一个中,该田地以$ n $ rindler量子的任意状态制备,然后我们考虑在给定温度$β{ - 1} $的热rindler状态,最后将现场状态视为Minkowski真空。恢复了后一种激发率相等的众所周知的结果。提出了加速或惯性观察者对加速探测器执行的测量值的解释。最后,我们研究了检测器在遥远过去是惯性的框架中的行为,但在远处未来会统一加速。对于无质量的情况,我们获得了远景中检测器的过渡概率速率与在静止状态下在静止状态下的探测器的类似量与在通常的热状态下制备的磁场相互作用的非惯性参考框架。

In this work we discuss the process of measurements by a detector in an uniformly accelerated rectilinear motion, interacting linearly with a massive scalar field. The detector model for field quanta is a point-like system with a ground state and a continuum of unbounded states. We employ the Glauber theory of photodetection. In an uniformly accelerated reference frame, the detector, interacting with the field prepared in an arbitrary state of the Rindler Fock space, is excited only by absorption processes. For the uniformly accelerated detector prepared in the ground state, we evaluate the transition probability rate in three important situations. In the first one the field is prepared in an arbitrary state of $n$-Rindler quanta, then we consider a thermal Rindler state at a given temperature $β^{-1}$, and finally the case in which the state of the field is taken to be the Minkowski vacuum. The well-known result that the latter excitation rates are equal is recovered. Accelerated or inertial observer interpretations of the measurements performed by the accelerated detector is presented. Finally, we investigate the behaviour of the detector in a frame which is inertial in the remote past but in the far future becomes uniformly accelerated. For the massless case, we obtain that the transition probability rate of the detector in the far future is tantamount to the analogous quantity for the detector at rest in a non-inertial reference frame interacting with the field prepared in an usual thermal state.

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