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Description
Quantum link models (QLMs) have gained attention in recent years, as a framework for discretising gauge theories which is especially suited to quantum computation approaches, and which often exhibit exotic phases of matter, allowing one to address dynamical properties related to quantum many-body scarring and Hilbert-space fragmentation which are otherwise difficult to study. We choose to focus on the SO(3) QLM because of qualitative properties it is known to share with QCD, including fermionic baryon bound states, and spontaneous chiral symmetry breaking (in (1+1)d). More recently, a subset of us have studied the matter-free SO(3) QLM in (2+1)d using quantum algorithms to demonstrate spontaneous symmetry breaking.
In recent work to be reviewed in this talk, we have constructed the gauge-invariant state space for the SO(3) QLM in (2+1)d with dynamical fermions, and obtained ED results which demonstrate spontaneous symmetry breaking and a non-trivial phase space for a single plaquette. In this talk, we demonstrate how a recently proposed quantum algorithm for whole-spectrum sampling, which takes advantage of maximally-mixed states, can be applied to QLMs to great effect.
Such methods have general applicability across the domain of quantum simulation for physical systems, and in presenting a strategy which may be unfamiliar to many practitioners, we will emphasize several distinct types of physical data which can be efficiently extracted by such a "quantum spectral sampling" technique -- including signatures of integrability/chaos, symmetry structure, and phase structure.
