Charge-resolved entanglement in the presence of topological defects
- URL: http://arxiv.org/abs/2306.15532v2
- Date: Fri, 6 Oct 2023 12:14:31 GMT
- Title: Charge-resolved entanglement in the presence of topological defects
- Authors: David X. Horvath, Shachar Fraenkel, Stefano Scopa and Colin Rylands
- Abstract summary: We compute the charge-resolved entanglement entropy for a single interval in the low-lying states of the Su-Schrieffer-Heeger model.
We find that, compared to the unresolved counterpart and to the pure system, a richer structure of entanglement emerges.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Topological excitations or defects such as solitons are ubiquitous throughout
physics, supporting numerous interesting phenomena like zero energy modes with
exotic statistics and fractionalized charges. In this paper, we study such
objects through the lens of symmetry-resolved entanglement entropy.
Specifically, we compute the charge-resolved entanglement entropy for a single
interval in the low-lying states of the Su-Schrieffer-Heeger model in the
presence of topological defects. Using a combination of exact and asymptotic
analytical techniques, backed up by numerical analysis, we find that, compared
to the unresolved counterpart and to the pure system, a richer structure of
entanglement emerges. This includes a redistribution between its
configurational and fluctuational parts due to the presence of the defect and
an interesting interplay with entanglement equipartition. In particular, in a
subsystem that excludes the defect, equipartition is restricted to charge
sectors of the same parity, while full equipartition is restored if the
subsystem includes the defect, as long as the associated zero mode remains
unoccupied. Additionally, by exciting zero modes in the presence of multiple
defects, we observe a significant enhancement of entanglement in certain charge
sectors, due to charge splitting on the defects. The two different scenarios
featuring the breakdown of entanglement equipartition are underlied by a joint
mechanism, which we unveil by relating them to degeneracies in the spectrum of
the entanglement Hamiltonian. In addition, equipartition is shown to stem from
an equidistant entanglement spectrum.
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