Construction of Entangled Many-body States via the Higgs Mechanism
- URL: http://arxiv.org/abs/2201.06585v2
- Date: Tue, 25 Jan 2022 11:33:26 GMT
- Title: Construction of Entangled Many-body States via the Higgs Mechanism
- Authors: Pureum Noh, Eun-Gook Moon
- Abstract summary: We generate entanglement of quantum many-body states by applying key ideas of the Higgs mechanism to systems without gauge structures.
We uncover a symmetry-protected topological state with two Ising symmetries on a square lattice and find entangled states with different symmetries and lattices.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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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