Symmetry-Resolved Entanglement of $C_2$-symmetric Topological Insulators

Abstract

For a many-body system of arbitrary dimension, we consider fermionic ground states of non-interacting Hamiltonians invariant under a $C_2$ cyclic group. The absolute difference $\Delta$ between the number of occupied symmetric and anti-symmetric single-particle states is an adiabatic invariant. We prove lower bounds on the configurational and the number entropy based on this invariant. In band insulators, the topological invariant $\Delta$ and the entropy bounds can be directly determined from high symmetry points in the Brillouin zone.

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Cited by in corpus (5)

• Symmetry Resolved Measures in Quantum Field Theory: a Short Review
• Hidden zero modes and topology of multiband non-Hermitian systems
• Symmetry-Resolved Entanglement: General considerations, calculation from correlation functions, and bounds for symmetry-protected topological phases
• Multipartite entanglement and quantum error identification in $D$-dimensional cluster states
• Bulk-boundary correspondence in topological two-dimensional non-Hermitian systems: Toeplitz operators and singular values