Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
Autor(en): | Breuer, HP Gemmer, J Michel, M |
Stichwörter: | CUMULANT EXPANSIONS; DECAY; OPERATOR-FORMALISM; Physics; Physics, Fluids & Plasmas; Physics, Mathematical; RELAXATION; SYSTEMS | Erscheinungsdatum: | 2006 | Herausgeber: | AMER PHYSICAL SOC | Journal: | PHYSICAL REVIEW E | Volumen: | 73 | Ausgabe: | 1, 2 | Zusammenfassung: | The time-convolutionless (TCL) projection operator technique allows a systematic analysis of the non-Markovian quantum dynamics of open systems. We present a class of projection superoperators that project the states of the total system onto certain correlated system-environment states. It is shown that the application of the TCL technique to this class of correlated superoperators enables the nonperturbative treatment of the dynamics of system-environment models for which the standard approach fails in any finite order of the coupling strength. We demonstrate further that the correlated superoperators correspond to the idea of a best guess of conditional quantum expectations, which is determined by a suitable Hilbert-space average. The general approach is illustrated by means of the model of a spin that interacts through randomly distributed couplings with a finite reservoir consisting of two energy bands. Extensive numerical simulations of the full Schrodinger equation of the model reveal the power and efficiency of the method. |
ISSN: | 15393755 | DOI: | 10.1103/PhysRevE.73.016139 |
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geprüft am 23.05.2024