On the irreversible dynamics emerging from quantum resonances
Autor: | Marco Merkli, Martin Könenberg |
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Rok vydání: | 2015 |
Předmět: |
Physics
010102 general mathematics Deformation theory Hilbert space Propagator FOS: Physical sciences Statistical and Nonlinear Physics Mathematical Physics (math-ph) 01 natural sciences Resonance (particle physics) symbols.namesake Quantum mechanics 0103 physical sciences Bound state symbols 82C10 81S22 0101 mathematics Exponential decay 010306 general physics Quantum Stationary state Mathematical Physics |
DOI: | 10.48550/arxiv.1503.02972 |
Popis: | We consider the dynamics of quantum systems which possess stationary states as well as slowly decaying, metastable states arising from the perturbation of bound states. We give a decomposition of the propagator into a sum of a stationary part, one exponentially decaying in time and a polynomially decaying remainder. The exponential decay rates and the directions of decay in Hilbert space are determined, respectively, by complex resonance energies and by projections onto resonance states. Our approach is based on an elementary application of the Feshbach map. It is applicable to open quantum systems and to situations where spectral deformation theory fails. We derive a detailed description of the dynamics of the spin-boson model at arbitrary coupling strength. Comment: updated version |
Databáze: | OpenAIRE |
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