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arXiv:1811.05867 · Physical Review Research

Fermionic quantum carpets: From canals and ridges to solitonlike structures

Piotr T. Grochowski, Tomasz Karpiuk, Mirosław Brewczyk, Kazimierz Rzążewski

Published Feb 4, 2020• 8 citations
arXivHTMLPDF

Abstract

Quantum carpets are spatiotemporal representations of the probability density of a quantum particle in a box. They stand out due to the characteristic structures, called canals and ridges. The authors show that these structures become much more pronounced in fermionic systems
DOI
10.1103/physrevresearch.2.013119

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The multimode interference technique is a simple way to study the interference patterns found in many quantum probability distributions. We demonstrate that this analysis not only explains the existence of so-called "quantum carpets," but can explain the spatial distribution of channels and ridges in the carpets. With an understanding of the factors that govern these channels and ridges we have a limited ability to produce a particular pattern of channels and ridges by carefully choosing the weighting coefficients c_{n} . We also use these results to demonstrate why fractional revivals of initial wavepackets are themselves composed of many smaller packets.