Probing Real-Space and Time-Resolved Correlation Functions with Many-Body Ramsey Interferometry

ORAL

Abstract

We propose to use Ramsey interferometry and single-site addressability, available in synthetic matter such as cold atoms, polar molecules, 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 explicitly consider examples of the two-dimensional, antiferromagnetic Heisenberg model and the one-dimensional, long-range transverse field Ising model to illustrate the technique.

–

Authors

  • Michael Knap

    • Harvard University

  • Adrian Kantian

    • University of Geneva

  • Thierry Giamarchi

    • University of Geneva
    • DPMC-MaNEP, University of Geneva

  • Immanuel Bloch

    • Max-Planck-Institut f\"ur Quantenoptik

  • Mikhail D. Lukin

    • Harvard University

  • Eugene Demler

    • Harvard University
    • Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA