Knap, MichaelKantian, AdrianGiamarchi, ThierryBloch, ImmanuelLukin, MikhailDemler, Eugene2014-11-142013Knap, Michael, Adrian Kantian, Thierry Giamarchi, Immanuel Bloch, Mikhail D. Lukin, and Eugene Demler. 2013. Probing Real-Space and Time-Resolved Correlation Functions with Many-Body Ramsey Interferometry. Physical Review Letters 111, no. 14: 147205.0031-90071079-7114http://nrs.harvard.edu/urn-3:HUL.InstRepos:13383552We propose to use Ramsey interferometry and single-site addressability, available in synthetic matter such as cold atoms or trapped ions, to measure real-space and time-resolved spin correlation functions. These correlation functions directly probe the excitations of the system, which makes it possible to characterize the underlying many-body states. Moreover, they contain valuable information about phase transitions where they exhibit scale invariance. We also discuss experimental imperfections and show that a spin-echo protocol can be used to cancel slow fluctuations in the magnetic field. We explicitly consider examples of the two-dimensional, antiferromagnetic Heisenberg model and the one-dimensional, long-range transverse field Ising model to illustrate the technique.en-USJournal Article2014-11-1410.1103/PhysRevLett.111.147205