Controlling and measuring a superposition of position and momentum

• URL: http://arxiv.org/abs/2207.07270v1
• Date: Fri, 15 Jul 2022 03:34:43 GMT
• Title: Controlling and measuring a superposition of position and momentum
• Authors: Takafumi Ono, Nigam Samantarray, John G. Rarity
• Abstract summary: We show that a lower bound on the probability of finding a particle after propagating for a given time is 5.9% below a classical bound. We prepared a superposition of position and momentum states by using slits, lenses and an interferometer, and observed a quantum interference between position and momentum.
• Score: 0.2578242050187029
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The dynamics of a particle propagating in free space is described by its position and momentum, where quantum mechanics prohibits the simultaneous identification of two non-commutative physical quantities. Recently, a lower bound on the probability of finding a particle after propagating for a given time has been derived for well-defined initial constraints on position and momentum under the assumption that particles travel in straight lines. Here, we investigate this lower limit experimentally with photons. We prepared a superposition of position and momentum states by using slits, lenses and an interferometer, and observed a quantum interference between position and momentum. The lower bound was then evaluated using the initial state and the result was 5.9\% below this classical bound.

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