Speaker
Description
Simulations of quantum many-body systems based on the Hamiltonian formulation are emerging as a new tool to study phenomena inaccessible with traditional methods. A significant challenge is encoding physical systems in the Hamiltonian formulation, particularly achieving a finite Hilbert space which still accommodates the relevant physics. It has been shown that fuzzy regularization allows one to recover continuum physics for bosonic systems even with a finite Hilbert space per site. In this talk I will introduce a fuzzy-regularized Hamiltonian for $\mathrm{CP}^N$ models, discuss its equivalence with a generalized Heisenberg comb construction, and show results on the mass gap, the entanglement entropy, and the step-scaling function of the $\mathrm{CP}^2$ theory.