Correlated projection superoperators in relaxation and transport investigations
Autor(en): | Michel, M. Steinigeweg, R. Weimer, H. |
Stichwörter: | DIFFUSION; DYNAMICS; Physics; Physics, Multidisciplinary; QUANTUM-SYSTEMS | Erscheinungsdatum: | 2007 | Herausgeber: | EDP SCIENCES S A | Journal: | EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | Volumen: | 151 | Startseite: | 13 | Seitenende: | 28 | Zusammenfassung: | The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the dynamical properties of open quantum systems. Unfortunately, using the standard projector to investigate the decay to equilibrium fails to describe the dynamics of a small system coupled to a finite environment correctly. However, a recently introduced correlated projection operator leads to the appropriate dynamical behavior and shows a reasonable good agreement with the exact Schrodinger dynamics. Furthermore, a similar projector can be used to describe the transport through a quantum system. Using the technique in Fourier space allows for a detailed analysis of transport in the context of its length scale dependence as well. Finally, the method is also applicable to realistic systems, e. g., spin models. |
ISSN: | 19516355 | DOI: | 10.1140/epjst/e2007-00358-5 |
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geprüft am 20.05.2024