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Phys Rev Lett. 2009 Aug 7;103(6):067201. Epub 2009 Aug 5.

Engineering giant nonlinearities in quantum nanosystems.

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Department of Physics, University of Massachusetts at Boston, Boston, Massachusetts 02125, USA.


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.

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