Entanglement Witnessing for Lattice Gauge Theories
- URL: http://arxiv.org/abs/2207.00605v2
- Date: Fri, 8 Jul 2022 12:59:31 GMT
- Title: Entanglement Witnessing for Lattice Gauge Theories
- Authors: Veronica Panizza, Ricardo Costa de Almeida, Philipp Hauke
- Abstract summary: Entanglement is assuming a central role in modern quantum many-body physics.
We develop the theoretical framework of entanglement witnessing for lattice gauge theories.
We illustrate the concept at the example of a $mathrmU(1)$ lattice gauge theory in 2+1 dimensions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entanglement is assuming a central role in modern quantum many-body physics.
Yet, for lattice gauge theories its certification remains extremely
challenging. A key difficulty stems from the local gauge constraints underlying
the gauge theory, which separate the full Hilbert space into a direct sum of
subspaces characterized by different superselection rules. In this work, we
develop the theoretical framework of entanglement witnessing for lattice gauge
theories that takes this subtlety into account. We illustrate the concept at
the example of a $\mathrm{U}(1)$ lattice gauge theory in 2+1 dimensions,
without and with dynamical fermionic matter. As this framework circumvents
costly state tomography, it opens the door to resource-efficient certification
of entanglement in theoretical studies as well as in laboratory quantum
simulations of gauge theories.
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