arXiv Analytics

Sign in

arXiv:2011.11295 [quant-ph]AbstractReferencesReviewsResources

Excitation dynamics in chain-mapped environments

Dario Tamascelli

Published 2020-11-23Version 1

The chain mapping of structured environments is a most powerful tool for the simulation of open quantum system dynamics. Once the environmental bosonic or fermionic degrees of freedom are unitarily rearranged into a one dimensional structure, the full power of Density Matrix Renormalization Group (DMRG) can be exploited. Beside resulting in efficient and numerically exact simulations of open quantum systems dynamics, chain mapping provides an unique perspective on the environment: the interaction between the system and the environment creates perturbations that travel along the one dimensional environment at a finite speed, thus providing a natural notion of light-, or causal-, cone. In this work we investigate the transport of excitations in a chain-mapped bosonic environment. In particular, we explore the relation between the environmental spectral density shape, parameters and temperature, and the dynamics of excitations along the corresponding linear chains of quantum harmonic oscillators. Our analysis unveils fundamental features of the environment evolution, such as localization, percolation and the onset of stationary currents.

Related articles: Most relevant | Search more
arXiv:1402.4647 [quant-ph] (Published 2014-02-19)
Hierarchy of stochastic pure states for open quantum system dynamics
arXiv:2209.11190 [quant-ph] (Published 2022-09-22)
Open quantum system dynamics of $X$-states: Entanglement sudden death and sudden birth
arXiv:quant-ph/0609051 (Published 2006-09-07, updated 2007-01-09)
Computational Difficulty of Global Variations in the Density Matrix Renormalization Group