Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices

• URL: http://arxiv.org/abs/2511.14114v1
• Date: Tue, 18 Nov 2025 03:57:06 GMT
• Title: Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices
• Authors: Ryogo Hara, Shimpei Endo, Shion Yamashika,
• Abstract summary: We study the entanglement asymmetry for the space-inversion symmetry of free fermions on a two-dimensional honeycomb lattice.<n>We show that the entanglement asymmetry of a local subsystem exhibits nonanalytic dependence on the energy imbalance.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the entanglement asymmetry for the space-inversion symmetry of free fermions on a two-dimensional honeycomb lattice with an on-site energy imbalance between the two sublattices. We show that the entanglement asymmetry of a local subsystem exhibits nonanalytic dependence on the energy imbalance, due to the presence of Dirac points in the Brillouin zone. We also study the quench dynamics from the ground state into the inversion-symmetric point at which the energy imbalance vanishes. Under certain conditions on the subsystem geometry, the entanglement asymmetry relaxes to a finite value after the quench, revealing that the inversion-symmetry breaking in the initial ground state can persist even under the symmetric dynamics. We attribute the absence of symmetry restoration to the presence of a flat energy dispersion (flat band) in a specific direction.

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