From the Quantum Breakdown Model to the Lattice Gauge Theory

• URL: http://arxiv.org/abs/2405.08273v2
• Date: Mon, 26 Aug 2024 12:25:09 GMT
• Title: From the Quantum Breakdown Model to the Lattice Gauge Theory
• Authors: Yu-Min Hu, Biao Lian,
• Abstract summary: We investigate the minimal quantum breakdown model with the minimal number of on-site fermion orbitals required for the interaction. We reveal a mapping between the minimal quantum breakdown model in certain charge sectors and a quantum link model which simulates the U(1) lattice gauge theory. This mapping unveils the rich dynamics in different Krylov subspaces characterized by different gauge configurations in the quantum breakdown model.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The one-dimensional quantum breakdown model, which features spatially asymmetric fermionic interactions simulating the electrical breakdown phenomenon, exhibits an exponential U(1) symmetry and a variety of dynamical phases including many-body localization and quantum chaos with quantum scar states. We investigate the minimal quantum breakdown model with the minimal number of on-site fermion orbitals required for the interaction, and identify a large number of local conserved charges in the model. We then reveal a mapping between the minimal quantum breakdown model in certain charge sectors and a quantum link model which simulates the U(1) lattice gauge theory, and show that the local conserved charges map to the gauge symmetry generators. A special charge sector of the model further maps to the PXP model, which shows quantum many-body scars. This mapping unveils the rich dynamics in different Krylov subspaces characterized by different gauge configurations in the quantum breakdown model.

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