Deliverable D2.1 — Report on quantum simulation of chiral symmetry breaking and fractional excitation patterns in multiflavor Abelian gauge theories

This report outlines the developments within NeQST towards quantum simulation of chiral symmetry breaking and fractional excitation patterns in multiflavor Abelian gauge theories.

While quantum simulation of gauge theories has made fast progress over the recent years, almost all implementations consider a single flavor of matter. It is a crucial next step of quantum simulation to move beyond this paradigm: Theories that describe nature often are naturally described by multiple flavors, such as isospin; multiflavor theories provide a natural stepping stone to non-Abelian theories with colour charge; and they can pose severe sign problems, and thus represent stringent test beds for quantum simulators.

With the input of UIBK, ICFO and UNITN, have developed an implementation of the multi-flavor Schwinger model for the trapped-ion qudits platform that is being developed within NeQST. The approach is based on a variational algorithm that is implementable with abilities already demonstrated in the laboratory.

Deliverable D2.1 — Quantum simulation of multiflavor Abelian gauge theories