Dependence of Repeated Interaction Asymptotic States on Environment

2010/09/30 by Mark D Penney, Penney, Mark D
Mathematics · Physics and Astronomy · #47N50 #82C10 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:47N50 #msc:82C10

paper · pdf · doi:10.48550/arxiv.1009.6141

This paper has been withdrawn due to problems with convergence in theorem 1

openalex publication_date 2010/09/30 · arxiv created 2011/05/30 · arxiv updated 2011/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Consider a quantum system \cS that interacts sequentially with a chain (environment) of identical probes \cal C = \cP+\cP+..., with each interaction governed by a fixed interaction time τ and operator V. It is known how to construct the asymptotic state (large times) if the initial states of \cP belong to a class of so-called reference states. We generalize the analysis to a broader class of initial states, including the physically important situation of pure states. This is done by a simple modification to the effective dynamics generator.

Related

• Asymptotics of repeated interaction quantum systems
• Weak Coupling and Continuous Limits for Repeated Quantum Interactions
• Multi-time correlations in relaxing quantum dynamical systems
• Quantum systems coupled to environments via mean field interactions
• From repeated to continuous quantum interactions