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Latin America Optics and Photonics Conference

Superposition effect is a “local” phenomenon when we investigate the processes behind release of photo electrons

Chandrasekhar Roychoudhuri

Published Jan 1, 2014• 0 citations
Publisher

Abstract

The “locality” of superposition effect becomes evident when one explicitly models the light-matter stimulation and energy exchange processes using basic QM recipe of taking square modulus of simultaneous dipolar stimulations of the detecting molecules by all waves.
DOI
10.1364/laop.2014.lm3a.4

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This chapter explains the basic mathematical framework behind the emergence of the superposition effect as experienced by detectors when simultaneously stimulated by more than one EM wave by modeling the light–matter interaction process in view of the Non-Interaction of Waves property. The growing field of quantum optics does treat the atoms and molecules as quantum dipoles and EM waves mostly as classical waves. The summation of amplitudes implied by the superposition principle is actually carried out by the oscillating dipoles as their single conjoint dipolar stimulation, while constrained by their intrinsic quantum properties. The measurable superposition effects, which are always reported by detectors, are colored by their own unique response characteristics. Thus, one can generate different types of measurable superposition effects simply by changing the quantum characteristics of the detectors.
A deeper understanding of the physical processes behind the emergence of photoelectron current pulse (PCP) statistics could help relaxing the source requirements for quantum computers, in choosing nonlinear vs. linear processing of light. Einstein’s photoelectric equation is an energy-balancing “bullet model”. The “bullet-model” over-rides both the classical and the quantum Superposition Principle (SP). SP requires first summing the joint amplitude stimulation experienced by the detecting dipoles by all the incident complex amplitudes, followed by the square modulus operation executed by the detecting dipoles to absorb the quantum-cupful of energy. We have been accommodating this “bullet model” via the prevailing belief that wave-particle duality is our new “confirmed knowledge”, instead of acknowledging our ignorance about the true nature of light. We will use the semiclassical model of photons as time-finite random light pulses stimulating a detecting molecule to its excited state of Ѱ. The molecule then absorbs the quantum of energy through the execution of the square modulus operation, Ѱ*Ѱ, and release the quantum mechanically bound electron. The lifetime of releasing the bound electron is very short as they are in quantum bands, rather than in sharp quantum levels. Each one of the released electron is then amplified, through complex electronic processes, by a factor of as much as 109, to generate one easily measurable photoelectric current pulse, or PCP’s. Therefore, the emergence of the PCP statistics is a combined function of (i) fluctuations in the incident light, (ii) fluctuations in the electron emission moments and (iii) noise introduced during the amplification process. In this paper, we will consider a classical linear approach in smoothing the average energy delivery on to a photodetector using the natural pulse replication property of a Fabry-Perot interferometer (FPI) and hence narrow the PCP statistical spread. If our model is correct, we should be able to derive the PCP-statistics for different sources using the fundamental amplitude and phase characteristics of various real sources. We have also proposed specific experiments to validate our model.