On the relation between nodal structures in quantum wave functions and particle correlation
Zitieren Sie bitte immer diese 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.…
Autor(en): | Peter SchürgerORCiD, Volker EngelORCiD |
---|---|
URN: | urn:nbn:de:bvb:20-opus-350361 |
Dokumentart: | Artikel / Aufsatz in einer Zeitschrift |
Institute der Universität: | Fakultät für Chemie und Pharmazie / Institut für Physikalische und Theoretische Chemie |
Sprache der Veröffentlichung: | Englisch |
Titel des übergeordneten Werkes / der Zeitschrift (Englisch): | AIP Advances |
Erscheinungsjahr: | 2023 |
Band / Jahrgang: | 13 |
Heft / Ausgabe: | 12 |
Aufsatznummer: | 125307 |
Originalveröffentlichung / Quelle: | AIP Advances (2023) 13:12, 125307. DOI: 10.1063/5.0180004 |
DOI: | https://doi.org/10.1063/5.0180004 |
Allgemeine fachliche Zuordnung (DDC-Klassifikation): | 5 Naturwissenschaften und Mathematik / 54 Chemie / 541 Physikalische Chemie |
Freie Schlagwort(e): | Schroedinger equation; covariance and correlation; information theory entropy; nodal structures; particle correlations; quantum wave functions; time-dependent Schrodinger equation |
Datum der Freischaltung: | 16.05.2024 |
Lizenz (Deutsch): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |