Non-Markovian quantum measurements in the non-invasive limit

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2015
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Physica Scripta. 2015, 2015(T165), 014002. ISSN 0031-8949. eISSN 1402-4896. Available under: doi: 10.1088/0031-8949/2015/T165/014002
Zusammenfassung

In many real quantum systems the measurement is much less invasive than described by the projection postulate. For example, it is performed by weakly coupling a detector for a finite time to the system. The finite coupling time might lead to different measurement outcomes depending on the details of the interaction. We first investigate a generalized measurements scheme by means of positive operator-valued measures in the weak coupling limit and discuss the consequences appearing due to the non-Markovian interaction. Second we discuss the resulting quasiprobabilities, which in the case of a Markovian measurement scheme obey the so-called weak positivity, i.e. second-order correlation functions are positive semi-definite. In particular, we show a possible violation of weak positivity by second-order correlation functions for a frequency dependent detector measuring a spin-1/2 system. When both are themselves in an equilibrium state but at different respective temperatures, we find that the detection of the quantum behavior vanishes if the system temperature is larger than that of the detector.

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530 Physik
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weak measurement, non-Markovian dynamics, two-level system
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ISO 690BÜLTE, Johannes, Adam BEDNORZ, Wolfgang BELZIG, 2015. Non-Markovian quantum measurements in the non-invasive limit. In: Physica Scripta. 2015, 2015(T165), 014002. ISSN 0031-8949. eISSN 1402-4896. Available under: doi: 10.1088/0031-8949/2015/T165/014002
BibTex
@article{Bulte2015NonMa-33129,
  year={2015},
  doi={10.1088/0031-8949/2015/T165/014002},
  title={Non-Markovian quantum measurements in the non-invasive limit},
  number={T165},
  volume={2015},
  issn={0031-8949},
  journal={Physica Scripta},
  author={Bülte, Johannes and Bednorz, Adam and Belzig, Wolfgang},
  note={Article Number: 014002}
}
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