2011/11/30 by Giulia Gualdi, Christiane P. Koch · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Dynamics (music) #Markov process #Mathematics #Open system (computing) #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Renormalization #Statistical physics #Statistics #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physreva.88.022122
published as Phys. Rev. A 88, 022122 (2013)
arxiv created 2013/01/28 · openalex publication_date 2013/08/26 · arxiv updated 2015/03/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that time induces a dynamical renormalization of the system-environment coupling in open-quantum-system dynamics. The renormalizability condition, of the interactions being either local, or, alternatively, defined on a finite continuum support, is generally fulfilled for both discrete and continuous environments. As a consequence, we find a generalized Lieb-Robinson bound to hold for local and, surprisingly, also for nonlocal interactions. This unified picture allows us to devise a controllable approximation for arbitrary non-Markovian dynamics with an a priori estimate of the worst-case computational cost.