Hamiltonian Filters for Sensing and Simulation
Controlling the evolution of complex quantum systems by Hamiltonian engineering enables a variety of tasks, including quantum simulation and improved quantum metrology. For example, simple pulsed dynamical decoupling schemes can protect against decoherence by acting as noise filters, while at the same time revealing information about the noise sources themselves.
In this talk I will show how we can engineer the evolution of quantum system by creating more general dynamic filters, which select only some desired interactions. I will present some applications of these techniques to quantum simulation and quantum sensing, where they can achieve high frequency resolution, thus allowing precise spectroscopy and imaging.
In particular, I will illustrate applications of these strategies in experimental implementations based on the Nitrogen-Vacancy center in diamond.