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arXiv · 1307.0006

Probing real-space and time resolved correlation functions with many-body Ramsey interferometry

Michael Knap·Adrian Kantian·Thierry Giamarchi·Immanuel Bloch·Mikhail D. Lukin·Eugene Demler
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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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Michael Knap, Adrian Kantian, Thierry Giamarchi, Immanuel Bloch, Mikhail D. Lukin, Eugene Demler. 2013-10-07. Probing real-space and time resolved correlation functions with many-body Ramsey interferometry. https://doi.org/10.1103/physrevlett.111.147205

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