On the relation between nodal structures in quantum wave functions and particle correlation
Please always quote using this URN: urn:nbn:de:bvb:20-opus-350361
- We study the influence of nodal structures in two-dimensional quantum mechanical densities on wave packet entanglement. This is motivated by our recent study [Entropy, 25, 970 (2023)], which showed that the mutual information derived from the momentum-space probability density of a coupled two-particle system exhibits an unusual time dependence, which is not encountered if the position-space density is employed in the calculation. In studying a model density, here, we identify cases where the mutual information increases with the number ofWe study the influence of nodal structures in two-dimensional quantum mechanical densities on wave packet entanglement. This is motivated by our recent study [Entropy, 25, 970 (2023)], which showed that the mutual information derived from the momentum-space probability density of a coupled two-particle system exhibits an unusual time dependence, which is not encountered if the position-space density is employed in the calculation. In studying a model density, here, we identify cases where the mutual information increases with the number of nodes in the wave function and approaches a finite value, whereas in this limit, the linear correlation vanishes. The results of the analytical model are then applied to interpret the correlation measures for coupled electron-nuclear dynamics, which are treated by numerically solving the time-dependent Schrödinger equation.…
Author: | Peter SchürgerORCiD, Volker EngelORCiD |
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URN: | urn:nbn:de:bvb:20-opus-350361 |
Document Type: | Journal article |
Faculties: | Fakultät für Chemie und Pharmazie / Institut für Physikalische und Theoretische Chemie |
Language: | English |
Parent Title (English): | AIP Advances |
Year of Completion: | 2023 |
Volume: | 13 |
Issue: | 12 |
Article Number: | 125307 |
Source: | AIP Advances (2023) 13:12, 125307. DOI: 10.1063/5.0180004 |
DOI: | https://doi.org/10.1063/5.0180004 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 54 Chemie / 541 Physikalische Chemie |
Tag: | Schroedinger equation; covariance and correlation; information theory entropy; nodal structures; particle correlations; quantum wave functions; time-dependent Schrodinger equation |
Release Date: | 2024/05/16 |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |