Analog quantum processing (M1 – M24; responsible: DESY/MPQ; involved: INFN, UPV/EHU, IJS)
This task will characterize the dynamics of many-body quantum systems realized in ultracold atom experiments in optical lattices by applying tensor network algorithms for equilibrium and non equilibrium problems.
The primary model of interest will be the Hubbard model.
DESY/MPQ will handle strong collaboration with UIBK on the experimental side and UPV/EHU, INFN, IJS on the theory side.
Hybrid algorithms for detection of emergent physics (M13– M36; responsible: IJS; involved: DESY/MPQ, UPV/EHU)
The task is to reconstruct the emergent local description detected via local measurements of a simulator and, for example, quantify the basic assumption of several contemporary interpretations of effective local equilibration.
The task is achieved by combining TN Ansätze for the Liouvilian operator and the density matrix evolution, with the Liouvillian fitted by machine learning from local experimental measurements.
The goal is to quantify the popular picture of non-equilibrium dynamics in which the ‘rest of the system’ stands for a bath for the local easily accessible region and characterize this by reconstructing the Liouvillian.