Speaker
Description
Unveiling the microscopic origins of quantum many-body phases dominated by the interplay of spin and charge degrees of freedom constitutes one of the central challenge in modern strongly correlated many-body physics. When holes hop through a background of insulating spins, they displace their positions, which in turn induces effective frustration in the magnetic background. However, the precise quantification of this effect in a quantum many-body system is an extremely challenging task.
We use Hamiltonian learning schemes to associate the hole-removed spin background with a purely magnetic Hamiltonian. This approach allows us to quantify the effect of the hole-motion on the spin background, using Fock space snapshots at intermediate temperatures, readily accessible to quantum gas microscopes.
In particular, we study a one-dimensional Fermi-Hubbard system, and reveal effects of charge correlations on the spin correlations through Hamiltonian reconstruction. We next consider a model in mixed-dimensions, where holes are restricted to move in one dimension, but spin couplings are two-dimensional, and establish a quantitative understanding of the interplay of spin and charge through the introduction of frustrating diagonal bonds.
