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arXiv · 1607.03656

Digital quantum simulation of $\mathbb{Z}_2$ lattice gauge theories with dynamical fermionic matter

Erez Zohar·Alessandro Farace·Benni Reznik·J. Ignacio Cirac
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Abstract

We propose a scheme for digital quantum simulation of lattice gauge theories with dynamical fermions. Using a layered optical lattice with ancilla atoms that can move and interact with the other atoms (simulating the physical degrees of freedom), we obtain a stroboscopic dynamics which yields the four-body plaquette interactions, arising in models with $2+1$ and higher dimensions, without the use of perturbation theory. As an example we show how to simulate a $\mathbb{Z}_2$ model in $2+1$ dimensions.

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Erez Zohar, Alessandro Farace, Benni Reznik, J. Ignacio Cirac. 2017-02-20. Digital quantum simulation of $\mathbb{Z}_2$ lattice gauge theories with dynamical fermionic matter. https://doi.org/10.1103/physrevlett.118.070501

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