Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
M. Endres, M. Cheneau, T. Fukuhara, C. Weitenberg, P. Schauss, C., Gross, L. Mazza, M.C. Banuls, L. Pollet, I. Bloch, S. Kuhr

TL;DR
This paper reports the direct detection of correlated particle-hole pairs and string order in one-dimensional bosonic Mott insulators using high-resolution imaging, revealing hidden non-local quantum correlations.
Contribution
It provides the first direct observation of particle-hole pairs and string order in low-dimensional Mott insulators with single-site resolution.
Findings
Detection of correlated particle-hole pairs
Observation of string order in 1D systems
Confirmation of non-local quantum correlations
Abstract
Quantum phases of matter are characterized by the underlying correlations of the many-body system. Although this is typically captured by a local order parameter, it has been shown that a broad class of many-body systems possesses a hidden non-local order. In the case of bosonic Mott insulators, the ground state properties are governed by quantum fluctuations in the form of correlated particle-hole pairs that lead to the emergence of a non-local string order in one dimension. Using high-resolution imaging of low-dimensional quantum gases in an optical lattice, we directly detect these pairs with single-site and single-particle sensitivity and observe string order in the one-dimensional case.
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