Long-range entanglement and topological excitations

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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• Towards a phase diagram of the topologically frustrated XY chain
• Interplay between local and non-local frustration in the 1D ANNNI chain I -- The even case
• Quantum Coherence of Topologically Frustrated Spin Chains
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Entanglement content of kink excitations
• Few-body precursors of topological frustration
• Resource complexity of Symmetry Protected Topological phases
• Numerically efficient unitary evolution for Hamiltonians beyond nearest-neighbors
• Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models