Non-local interference in arrival time
- URL: http://arxiv.org/abs/2307.04811v2
- Date: Fri, 8 Sep 2023 13:52:45 GMT
- Title: Non-local interference in arrival time
- Authors: Ali Ayatollah Rafsanjani, MohammadJavad Kazemi, Vahid Hosseinzadeh,
and Mehdi Golshani
- Abstract summary: A non-local interference in the arrival time distribution is observed using entangled atom pairs.
We show that there is a complementary relationship between the one-particle and two-particle interference visibilities in the arrival time distribution.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Although position and time have different mathematical roles in quantum
mechanics, with one being an operator and the other being a parameter, there is
a space-time duality in quantum phenomena: a lot of quantum phenomena that were
first observed in the spatial domain were later observed in the temporal domain
as well. In this context, we propose a modified version of the
double-double-slit experiment using entangled atom pairs to observe a non-local
interference in the arrival time distribution, which is analogous to the
non-local interference observed in the arrival position distribution. However,
computing the arrival time distribution in quantum mechanics is a challenging
open problem, and so to overcome this problem we employ a Bohmian treatment.
Based on this approach, we numerically demonstrate that there is a
complementary relationship between the one-particle and two-particle
interference visibilities in the arrival time distribution, which is analogous
to the complementary relationship observed in the position distribution. These
results can be used to test the Bohmian arrival time distribution in a strict
manner, i.e., where the semiclassical approximation breaks down. Moreover, our
approach to investigating this experiment can be applied to a wide range of
phenomena, and it seems that the predicted non-local temporal interference and
associated complementary relationship are universal behaviors of entangled
quantum systems that may manifest in various phenomena.
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