Excitation dynamics in chain-mapped environments
arXiv:2011.11295 · doi:10.3390/e22111320
Abstract
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.
12 pages, 10 figures
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- Using the Environment to Understand non-Markovian Open Quantum Systems
- Fingerprint and universal Markovian closure of structured bosonic environments
- Unveiling non-Markovian spacetime signalling in open quantum systems with long-range tensor network dynamics
- Invasiveness of non-equilibrium quantum thermometry
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- Digital quantum simulation of non-perturbative dynamics of open systems with orthogonal polynomials
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- Understanding and utilizing the inner bonds of process tensors
- Chain-mapping methods for relativistic light-matter interactions