Deterministic Generation of Large Fock States

Abstract

We present a protocol to deterministically prepare the electromagnetic field in a large photon number state. The field starts in a coherent state and, through resonant interaction with one or few two-level systems, it evolves into a coherently displaced Fock state without any postselection. We show the feasibility of the scheme under realistic parameters. The presented method opens a door to reach Fock states, with n similar to 100 and optimal fidelities above 70%, blurring the line between macroscopic and quantum states of the field.