What dynamics can be expected for mixed states in two-slit experiments?



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Luis Aina, Alfredo and Sanz, Ángel S. (2015) What dynamics can be expected for mixed states in two-slit experiments? Annals of physics, 357 . pp. 95-107. ISSN 0003-4916

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Official URL: http://dx.doi.org/10.1016/j.aop.2015.03.030


Weak-measurement-based experiments (Kocsis et al., 2011) have shown that, at least for pure states, the average evolution of independent photons in Young's two-slit experiment is in compliance with the trajectories prescribed by the Bohmian formulation of quantum mechanics. But, what happens if the same experiment is repeated assuming that the wave function associated with each particle is different, i.e., in the case of mixed (incoherent) states? This question is investigated here by means of two alternative numerical simulations of Young's experiment, purposely devised to be easily implemented and tested in the laboratory. Contrary to what could be expected a priori, it is found that even for conditions of maximal mixedness or incoherence (total lack of interference fringes), experimental data will render a puzzling and challenging outcome: the average particle trajectories will still display features analogous to those for pure states, i.e., independently of how mixedness arises, the associated dynamics is influenced by both slits at the same time. Physically this simply means that weak measurements are not able to discriminate how mixedness arises in the experiment, since they only provide information about the averaged system dynamics.

Item Type:Article
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© 2015 Elsevier Inc. Support from the Ministerio de Economia y Competitividad (Spain) under Project Nos. FIS2011-29596-C02-01 (AS) and FIS2012-35583 (AL), and a "Ramon y Cajal" Research Fellowship with Ref. RYC-2010-05768 (AS) is acknowledged.

Uncontrolled Keywords:Bohmian mechanics; Weak values; Quantum; Trajectories; Tomography
Subjects:Sciences > Physics > Optics
ID Code:31325
Deposited On:28 Jul 2015 09:25
Last Modified:01 Jul 2017 23:01

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