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Quantum Simulation

Quasi-symmetry groups and many-body scar dynamics

arXiv
Authors: Jie Ren, Chenguang Liang, Chen Fang

Year

2020

Paper ID

22095

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

In quantum systems, a subspace spanned by degenerate eigenvectors of the Hamiltonian may have higher symmetries than those of the Hamiltonian itself. When this enhanced-symmetry group can be generated from local operators, we call it a quasi-symmetry group. When the group is a Lie group, an external field coupled to certain generators of the quasi-symmetry group lifts the degeneracy, and results in exactly periodic dynamics within the degenerate subspace, namely the many-body-scar dynamics (given that Hamiltonian is non-integrable). We provide two related schemes for constructing one-dimensional spin models having on-demand quasi-symmetry groups, with exact periodic evolution of a pre-chosen product or matrix-product state under certain external fields.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • In quantum systems, a subspace spanned by degenerate eigenvectors of the Hamiltonian may have higher symmetries than those of the Hamiltonian itself.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.10380 [2] arXiv https://arxiv.org/abs/2007.10380 [3] Publisher https://arxiv.org/abs/2007.10380

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