Journal
PHYSICAL REVIEW LETTERS
Volume 111, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.111.147205
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Funding
- Harvard-MIT CUA
- Austrian Science Fund (FWF) [J 3361-N20]
- DARPA OLE program
- AFOSR MURI on Ultracold Molecules
- ARO-MURI on Atomtronics
- Swiss NSF under MaNEP and Division II
- Direct For Mathematical & Physical Scien
- Division Of Physics [0969816] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [1125846] Funding Source: National Science Foundation
- Austrian Science Fund (FWF) [J 3361] Funding Source: researchfish
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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, longrange transverse field Ising model to illustrate the technique.
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