We describe a method to engineer giant nonlinearities in, and probes to measure nonlinear observables of, mesoscopic quantum resonators. This involves tailoring the Hamiltonian of a simple auxiliary system perturbatively coupled to the resonator, and has the potential to engineer a wide range of nonlinearities to high accuracy. We give a number of explicit examples, including a readily realizable two-qubit auxiliary system that creates an x^4 potential and a Chi^(3) (Kerr) nonlinearity, valid to fifth-order in the perturbative coupling.
@article{arxiv.0809.2993,
title = {Engineering Giant Nonlinearities in Quantum Nanosystems},
author = {Kurt Jacobs and Andrew Landahl},
journal= {arXiv preprint arXiv:0809.2993},
year = {2009}
}
Comments
4 pages, retex4; v2: published version, improved and compactified presentation