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Journal of Physics Conference Series

An experiment-based module for building quantum mechanics concepts using Mach-Zehnder interferometry

Claudia Daffara, Francesca Monti

Published May 1, 2021• 0 citations
Publisher

Abstract

Abstract To introduce the fundamental concepts and formalism of Quantum Mechanics at the base of Quantum Calculus and Quantum Cryptography we developed an experiment-based module centered on the use of a Mach-Zehnder laser interferometer equipped with linear polarizers. By analyzing the constructive and destructive interference, students are guided to understand the meaning of mutual exclusivity and incompatibility of polarization states (H, V) and (45°, 135°). A MATLAB simulation allows the understanding of the experimental results in terms of single photons. The module was tested as a pilot intervention on a group of Computer Science PhD students at the University of Verona.

DOI
10.1088/1742-6596/1929/1/012074

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Abstract To introduce the fundamental concepts and formalism of Quantum Mechanics at the base of Quantum Calculus and Quantum Cryptography we developed an experiment-based module centered on the use of a Mach-Zehnder laser interferometer equipped with linear polarizers. By analyzing the constructive and destructive interference, students are guided to understand the meaning of mutual exclusivity and incompatibility of polarization states (H, V) and (45°, 135°). A MATLAB simulation allows the understanding of the experimental results in terms of single photons. The module was tested as a pilot intervention on a group of Computer Science PhD students at the University of Verona.
Abstract The superposition states, allowed by quantum theory, are dramatically diverse with respect to classical states and represent the true quantum states. By using a Mach-Zehnder interferometer we experimentally show how a single photon in a polarization superposition state can produce interference. The experimental setup includes a strongly attenuated laser source, polarizing beam splitters, half-waveplates, polarizers and single-photon detectors. The experimental activity has been performed with high-school students and teachers in several different contexts.
This article explores the use of interferometry experiments, focusing on the Mach-Zehnder interferometer, as a didactic tool for teaching fundamental concepts of quantum physics, such as wave-particle duality, superposition, and interference. Using the interactive simulation “Interferometer experiments with photons, particles and waves” from the University of St Andrews, we demonstrate how different models – classical particles, electromagnetic waves, and single photons – can be applied to describe the observed phenomena, facilitating the understanding of the distinctions between the classical and quantum views of nature. The comparative analysis of the simulated experimental results serves as a basis for in-depth conceptual discussions in the classroom, making quantum physics more accessible and intuitive for high school and university students.
Abstract The Mach–Zehnder interferometer has played an important role both in quantum and classical physics research over the years. In physics education, it has been used as a didactic tool for quantum physics teaching, allowing fundamental concepts, such as particle–wave duality, to be addressed from the very beginning. For a student to understand the novelties of the quantum scenario, it is first worth introducing the classical picture. In this paper, we introduce a new version of the software developed by our research group to deepen the discussion on the classical picture of the Mach–Zehnder interferometer. We present its equivalence with the double slit experiment and we derive the mathematical expressions relating to the interference pattern. We also explore the concept of visibility (which is very important for understanding wave–particle complementarity in quantum physics) to help students become familiar with this experiment and to enhance their knowledge of its counterintuitive aspects. We use the software articulated by the mathematical formalism and phenomenological features. We also present excerpts of the discursive interactions of students using the software in didactic situations.
Mach–Zehnder interferometers are commonly introduced in quantum mechanics instruction because they can be represented as two-state systems. With the availability of quantum computers in the cloud, we show how one can also simulate these experiments as perfect single-photon experiments, via quantum computer circuits. This simulation provides a great opportunity to bring quantum computation and single-quantum experiments into the physics classroom and to teach quantum computing via simulation rather than computer science-based algorithms.