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arXiv · 1808.03653

Signatures of correlated magnetic phases in the local two-particle density matrix

Sebastian Huber·Fabian Grusdt·Matthias Punk
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Abstract

Experiments with quantum gas microscopes have started to explore the antiferromagnetic phase of the two-dimensional Fermi-Hubbard model and effects of doping with holes away from half filling. In this work we show how direct measurements of the system averaged two-spin density matrix and its full counting statistics can be used to identify different correlated magnetic phases with or without long-range order. We discuss examples of phases which are potentially realized in the Hubbard model close to half filling, including antiferrromagnetically ordered insulators and metals, as well as insulating spin-liquids and metals with topological order. For these candidate states we predict the doping- and temperature dependence of local correlators, which can be directly measured in current experiments.

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Sebastian Huber, Fabian Grusdt, Matthias Punk. 2018-08-10. Signatures of correlated magnetic phases in the local two-particle density matrix. https://doi.org/10.1103/physreva.99.023617

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