  Universal embezzlers are bipartite quantum systems from which any entangled
state may be extracted to arbitrary precision using local operations while
perturbing the state of the system arbitrarily little. Here, we show that
universal embezzlers are ubiquitous in many-body physics: The ground state
sector of every local, translation-invariant, and critical free-fermionic
many-body system on a one-dimensional lattice is a universal embezzler if
bi-partitioned into two half-chains. The same property holds in
locally-interacting, dual spin chains via the Jordan-Wigner transformation.
Universal embezzlement manifests already for finite system sizes, not only in
the thermodynamic limit: For any finite error and any targeted entangled state,
a finite length of the chain is sufficient to embezzle said state within the
given error. On a technical level, our main result establishes that the
half-chain observable algebras associated with ground state sectors of the
given models are type III$_1$ factors.
