2022
DOI: 10.48550/arxiv.2201.03120
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Second-quantized Unruh-DeWitt detectors and their quantum reference frame transformations

Flaminia Giacomini,
Achim Kempf

Abstract: We generalize the Unruh-DeWitt detector model to second quantization. We illustrate this model by applying it to an excited particle in a superposition of relativistic velocities. We calculate, to first order, how its decay depends on whether its superposition of velocities is coherent or incoherent. Further, we generalize the framework of quantum reference frames to allow transformations to the rest frames of second-quantized Unruh DeWitt detectors. As an application, we show how to transform into the rest fr… Show more

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Cited by 4 publications
(7 citation statements)
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References 61 publications
(107 reference statements)
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“…This figure shows the three ways that one can approach and cross a QFT-cut: horizontal moves, diagonal cuts and vertical cuts. Exemplars of these three types of moves are the Fewster Verch (FV) framework [8][9][10], the Unruh-DeWitt (UDW) detector model [5,13,[21][22][23][24][25][26][27][28][29][30][31][32][33], and various approximation schemes [43,46] respectively.…”
Section: The State Of the Artmentioning
confidence: 99%
See 1 more Smart Citation
“…This figure shows the three ways that one can approach and cross a QFT-cut: horizontal moves, diagonal cuts and vertical cuts. Exemplars of these three types of moves are the Fewster Verch (FV) framework [8][9][10], the Unruh-DeWitt (UDW) detector model [5,13,[21][22][23][24][25][26][27][28][29][30][31][32][33], and various approximation schemes [43,46] respectively.…”
Section: The State Of the Artmentioning
confidence: 99%
“…Another intriguing option for what to put for Something#2 is a UDW detector. In fact, recent work [46] has developed a "second quantized UDW detector", i.e., a QFT which reduces to a UDW detector in the nonrelativistic limit. It is an interesting open question how this second quantized UDW detector relates to the standard first-quantized UDW detector.…”
Section: Vertical Qft-cutsmentioning
confidence: 99%
“…This form is required for detector models which aim to include both quantum and relativistic effects, see also ref. [18] for the corresponding second-quantized model. Here we are interested in the limit of low CoM energy limit-where first-quantization is accurately describing the system and where the detector's CoM is moving slowly-and investigate the impact of the mass-energy equivalence in this regime.…”
Section: Unruh-dewitt Detector With External Dynamics and Mass-energy...mentioning
confidence: 99%
“…The field-theoretic treatment continues to be explored to gain insights into vacuum entanglement and the notion of localizability in field theories, e.g. [17], and recently in the context of quantum reference frames (associated with the detector) [18]. Nonetheless, many recent works introduce additional features to both the detector and the field as needed to apply the model to more diverse or more realistic situations.…”
Section: Introductionmentioning
confidence: 99%
“…It can be seen that the term γ −1 Q represents a quantum correction to the average time dilation that depends on the relative phase of the wave packets, leading to so-called quantum time dilation. Such superpositions of clocks has been interpreted within the context of quantum reference frame transformations and examined within a scalar field model [12].…”
Section: Introductionmentioning
confidence: 99%