Long-range entanglement and topological excitations

• URL: http://arxiv.org/abs/2310.16091v1
• Date: Tue, 24 Oct 2023 18:00:07 GMT
• Title: Long-range entanglement and topological excitations
• Authors: Gianpaolo Torre, Jovan Odavi\'c, Pierre Fromholz, Salvatore Marco Giampaolo, Fabio Franchini
• Abstract summary: Topological order comes in different forms, and its classification and detection is an important field of modern research. We show that the Disconnected Entanglement Entropy, a measure originally introduced to identify topological phases, is also able to unveil the long-range entanglement carried by a single excitation.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Topological order comes in different forms, and its classification and detection is an important field of modern research. In this work, we show that the Disconnected Entanglement Entropy, a measure originally introduced to identify topological phases, is also able to unveil the long-range entanglement (LRE) carried by a single, fractionalized excitation. We show this by considering a quantum, delocalized domain wall excitation that can be introduced into a system by inducing topological frustration in an antiferromagnetic spin chain. Furthermore, we study the resilience of LRE against a quantum quench and the introduction of disorder, thus establishing the existence of a phase with topological features despite not being a typical topological order or symmetry-protected one.

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