Direct experimental test of commutation relation via imaginary weak value

Wagner, Richard H.; Kersten, Wenzel; Danner, Armin; Lemmel, Hartmut; Pan, A. K.; Sponar, Stephan

doi:10.1103/physrevresearch.3.023243

Cited by 6 publications

(2 citation statements)

References 54 publications

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“…The sufficiently small value of α warrants the required weak measurement criteria. As explained in detail in [37], the weak value Π 1 ψ i ,+ x w is extracted from the time-dependent intensity oscillation observed at the detector that is given by…”

Section: Direct Test Of Commutation Relationmentioning

confidence: 99%

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Neutron Interferometer Experiments Studying Fundamental Features of Quantum Mechanics

Danner

Lemmel

Wagner

et al. 2023

Atoms

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Quantum theory provides us with the best account of microscopic components of matter as well as of radiation. It was introduced in the twentieth century and has experienced a wide range of success. Although the theory’s probabilistic predictions of final experimental outcomes is found to be correct with high precision, there is no general consensus regarding what is actually going on with a quantum system “en route”, or rather the perceivable intermediate behavior of a quantum system, e.g., the particle’s behavior in the double-slit experiment. Neutron interferometry using single silicon perfect crystals is established as a versatile tool to test fundamental phenomena in quantum mechanics, where an incident neutron beam is coherently split in two or three beam paths with macroscopic separation of several centimeters. Here, we present quantum optical experiments with these matter-wave interferometers, studying the effect of the quantum Cheshire Cat in some variants, the neutron’s presence in the paths of the interferometer as well as the direct test of a commutation relation. To reduce disturbances induced by the measurement, the interaction strength is lessened and so-called weak interactions are exploited by employing pre- and post-selection procedures. All results of the experiments confirm the predictions of quantum theory; the observed behaviors of the neutron between the pre- and post-selection in space and time emphasize striking and counter-intuitive aspects of quantum theory.

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Section: Direct Test Of Commutation Relationmentioning

confidence: 99%

“…Second, a new approach to the path presence measurement is presented [36] in Section 3. Third, a direct test of the commutation relation [37] is presented in Section 4. Section 5 discusses the meaning of weak values before the conclusion of Section 6.…”

Section: Introductionmentioning

confidence: 99%

Neutron Interferometer Experiments Studying Fundamental Features of Quantum Mechanics

Danner

Lemmel

Wagner

et al. 2023

Atoms

Self Cite

View full text Add to dashboard Cite

show abstract

Quantum phase fluctuation of pointer state in a post-selected measurement system

Bayen

2023

Phys. Scr.

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Post-selected measurement is used as a fundamental axiom in quantum optics. Here, a standard model of post-selected measurement with the input coherent pointer state is considered and the influence of weak value parameters on the quantum phase distribution function is studied on the basis of some analytical calculations. On the other hand, the effects of post-selected measurement on quantum phase fluctuations of the input coherent pointer states have been investigated, where the Barnett-Pegg formalism for the measured phase operators is assumed. It has been observed that the quantum phase fluctuations depend on some parameters such as the coupling strength, average value of input photon number, phase angle of the input coherent pointer state and two fundamental parameters of the complex weak value. Lastly, the presence of nonclassical effect is also checked for different parameters of quantum phase fluctuations.

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No-go result for quantum postselection measurements of a rank- m degenerate subspace

2023

Phys. Rev. A

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Direct experimental test of commutation relation via imaginary weak value

Cited by 6 publications

References 54 publications

Neutron Interferometer Experiments Studying Fundamental Features of Quantum Mechanics

Neutron Interferometer Experiments Studying Fundamental Features of Quantum Mechanics

Quantum phase fluctuation of pointer state in a post-selected measurement system

No-go result for quantum postselection measurements of a rank- m degenerate subspace

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