Models for the BPS Berry connection

Abstract

Motivated by the Nahm's construction, in this paper we present a systematic construction of Schrodinger Hamiltonians for a spin-1/2 particle in which the Berry connection in the ground-state sector becomes the BPS monopole of $SU(2)$ Yang-Mills-Higgs theory. Our construction enjoys a single arbitrary monotonic function, thereby creating infinitely many quantum-mechanical models that simulate the BPS monopole in the space of model parameters.