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

Michael Knap, Adrian Kantian, Thierry Giamarchi, Immanuel Bloch, Mikhail D. Lukin, and Eugene Demler
Phys. Rev. Lett. 111, 147205 – Published 4 October 2013
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Abstract

We 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.

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  • Received 2 July 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.147205

© 2013 American Physical Society

Authors & Affiliations

Michael Knap1,2,*, Adrian Kantian3, Thierry Giamarchi3, Immanuel Bloch4,5, Mikhail D. Lukin1, and Eugene Demler1

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 2ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA
  • 3DPMC-MaNEP, University of Geneva, 24 Quai Ernest-Ansermet CH-1211 Geneva, Switzerland
  • 4Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany
  • 5Fakultät für Physik, Ludwig-Maximilians-Universität München, 80799 München, Germany

  • *knap@physics.harvard.edu

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Issue

Vol. 111, Iss. 14 — 4 October 2013

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