Abstract
We build a time series of single photons with quantum chaos statistics, using a version of the Grangier anti-correlation experiment. The criteria utilized to determine the presence of quantum chaos is the frame of the Fano factor and the power spectrum. We also show that photons with chaotic statistics are in a balanced superposition of photons with both wave-like and particle like behaviors. To support the presence of quantum chaos, we study both Shannon’s entropy, and the complexity of single photons time series.
Highlights
We build a time series of single photons with quantum chaos statistics, using a version of the Grangier anti-correlation experiment
In order to explain the essence of quantum chaos from the superposition of wave and particle behaviors, we considered the following: There is a relationship between the interference visibility of quantum particles and its transition from regular to chaotic behavior [11,12]
In order to accomplish with the probabilities of the quantum chaos statistics, the half-wave plate (HWP) must rotate the polarization angle of photons to φ = π/6
Summary
The dichotomy between the wave and corpuscular nature of light has gone a long way in the history of physics, but we do not really yet understand the meaning of waves and particles at the quantum level. This proposal was developed by Jian-Shun et al [8], who derive a quantum superposition of single-photon wave and particle properties by selecting the quantum detecting device in a superposition state rather than the eigenstates of the delayedchoice experiment. This superposition can be measured indirectly through interference visibility. There is a change in the interference visibility depending on its degree of superposition between wave and particle behaviors, as mentioned above [8] This reasoning is closed if quantum chaos is related to the superposition of both wave and particle behaviors in some systems.
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