Demonstrating two-particle interference with a one-dimensional delta potential well

• URL: http://arxiv.org/abs/2408.16205v1
• Date: Thu, 29 Aug 2024 01:55:33 GMT
• Title: Demonstrating two-particle interference with a one-dimensional delta potential well
• Authors: Zhi Jiao Deng, Xin Zhang, Yong Shen, Wei Tao Liu, Ping Xing Chen,
• Abstract summary: This paper describes a model of two-particle interference using a one-dimensional delta potential as well as a beam splitter. The interference processes of bosons, fermions and distinguishable particles are demonstrated and compared in detail. The method presented here is concrete, easy to visualize, and can help students to better understand the effects arising from the exchange symmetry of wave functions.
• Score: 2.259304313859982
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In quantum mechanics, the exchange symmetry of wave functions for identical particles has observable effects, including the widely studied Hong-Ou-Mandel (HOM) effect. A theoretical description using second quantization is elegant but abstract. In contrast, this paper describes a simple model of two-particle interference using a one-dimensional delta potential well as a beam splitter. The conditions for the HOM effect are derived from the perspective of wave packet evolution. Furthermore, the interference processes of bosons, fermions and distinguishable particles are demonstrated and compared in detail. The method presented here is concrete, easy to visualize, and can help students to better understand the effects arising from the exchange symmetry of wave functions. The main results can be animated for classroom teaching or developed into an undergraduate seminar topic.

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