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arXiv · 2201.06585

Construction of Entangled Many-body States via the Higgs Mechanism

Pureum Noh·Eun-Gook Moon
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Abstract

We provide a guiding principle to generate entanglement of quantum many-body states by applying key ideas of the Higgs mechanism to systems without gauge structures. Unitary operators associated with the Higgs mechanism are constructed, named as mean-operators, and employed to prepare entangled many-body states out of a trivial state. We uncover a symmetry-protectedtopological state with two Ising symmetries on a square lattice and find entangled states with different symmetries and lattices. Plausible applications to quantum simulators such as Rydberg atoms and trapped ions, are also discussed, interpreting the mean-operators as the Ising coupling gates.

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Pureum Noh, Eun-Gook Moon. 2022-01-17. Construction of Entangled Many-body States via the Higgs Mechanism. https://doi.org/10.1103/physrevb.107.054401

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