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Non-Markovianity over Ensemble Averages in Quantum Complex Networks

2017/12/01 by Johannes Nokkala, Sabrina Maniscalco, Jyrki Piilo
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Complex network #Complex system #Coupling (piping) #Formalism (music) #Harmonic oscillator #Interdependent networks #Quantum #Quantum many-body systems #Random graph #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1142/s1230161217400182

published as Open Systems & Information Dynamics Vol. 24, No. 4 (2017) 1740018 · 23 pages, 4 figures. A contribution in the special issue "40 years of the GKLS equation" of "Open Systems and Information Dynamics"

openalex publication_date 2017/12/01 · arxiv created 2017/12/22 · openalex created_date 2017/12/22 · arxiv updated 2017/12/25 · openalex updated_date 2026/08/05

Abstract

We consider bosonic quantum complex networks as structured finite environments for a quantum harmonic oscillator and investigate the interplay between the network structure and its spectral density, excitation transport properties and non-Markovianity. After a review of the formalism used, we demonstrate how even small changes to the network structure can have a large impact on the transport of excitations. We then consider the non-Markovianity over ensemble averages of several different types of random networks of identical oscillators and uniform coupling strength. Our results show that increasing the number of interactions in the network tends to suppress the average non-Markovianity. This suggests that tree networks are the random networks optimizing this quantity.

Citations