Efficient non-Markovian quantum dynamics using time-evolving matrix product operators

摘要

In order to model realistic quantum devices it is necessary to simulatequantum systems strongly coupled to their environment. To date, mostunderstanding of open quantum systems is restricted either to weak system-bathcouplings, or to special cases where specific numerical techniques becomeeffective. Here we present a novel general numerical approach to efficientlydescribe the time evolution of a quantum system coupled to a non-Markovianenvironment. We demonstrate the power and flexibility of our method bynumerically identifying the localisation transition of the Ohmic spin-bosonmodel, and considering a model with widely separated environmental timescalesarising for a pair of spins embedded in a common environment.