We propose a theoretical scheme to deterministically generate Fock states in a Kerr cavity thorough adiabatic variation of the driving field strength and the cavity detuning. We show that the required time to generate a n-photon Fock state scales as the square root of n. Requirements for the Kerr coefficient relative to the system decoherence rate are provided as a function of desired state fidelity, indicating that the scheme is potentially realizable with the present state of the art in microwave superconducting circuits.
Cite
@article{arxiv.1812.07717,
title = {Adiabatic Fock state generation scheme using Kerr nonlinearity},
author = {Ryotatsu Yanagimoto and Edwin Ng and Tatsuhiro Onodera and Hideo Mabuchi},
journal= {arXiv preprint arXiv:1812.07717},
year = {2019}
}