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QI: Fachverband Quanteninformation
QI 1: Quantum Foundations
QI 1.8: Vortrag
Montag, 18. März 2024, 11:45–12:00, HFT-FT 101
On the Product of Weak Values — •Vinay Tumuluru1,2,3, Jan Dziewior1,2,3, Carlotta Versmold1,2,3, Florian Huber1,2,3, Lev Vaidman4, and Harald Weinfurter1,2,3,5 — 1Fakultät für Physik, Ludwig-Maximilians-Universität, 80797 München — 2MPI für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching — 3Munich Center for Quantum Science and Technology (MCQST), 80797 München — 4Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Israel — 5Univ. Gdansk, Inst. of Physics, Sobieskiego 18, PL-80-216 Gdansk-Wrzeszcz, Poland
The weak value of an operator, as put forth by Aharonov, Albert, and Vaidman, is a property of a pre- and post-selected quantum system and, in general, a complex entity. It is observed by weakly coupling a system of interest to a pointer system and manifests as a change in the state of the pointer. Contrary to the eigenvalue of an operator, the weak value can exceed its eigenspectrum resulting in ‘weak value amplification’ [1,2]. By pre- and post-selecting on the path and polarisation degrees of freedom of an optical Mach-Zehnder interferometer, the weak values of the path-projection and polarisation operators as well as that of their product are observed, with the transverse mode of the beam being the pointer. This effect is state sensitive, as introducing correlations between path and polarisation in the pre- or post-selected states prevents the observation of the product of the weak values [3,4].
[1] Y. Aharonov et al, PRL. 60, 1351 (1988) [2] L. Vaidman et al, Phys. Rev. A 96, 032114 (2017) [3] X. Xu et al, Opt. Lett 45, 1715 (2020) [4] X. Xu et al, PRL. 122, 100405 (2019)
Keywords: weak value; pre-selection; post-selection