Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter

• URL: http://arxiv.org/abs/2110.03913v2
• Date: Tue, 26 Apr 2022 12:41:21 GMT
• Title: Entanglement Spectroscopy and probing the Li-Haldane Conjecture in Topological Quantum Matter
• Authors: Torsten V. Zache, Christian Kokail, Bhuvanesh Sundar, and Peter Zoller
• Abstract summary: Topological phases are characterized by their entanglement properties. We propose to leverage the power of synthetic quantum systems for measuring entanglement via the Entanglement Hamiltonian.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum systems for measuring entanglement via the Entanglement Hamiltonian to probe this relationship experimentally. This is made possible by exploiting the quasi-local structure of Entanglement Hamiltonians. The feasibility of this proposal is illustrated for two paradigmatic examples realizable with current technology, an integer quantum Hall state of non-interacting fermions on a 2D lattice and a symmetry protected topological state of interacting fermions on a 1D chain. Our results pave the road towards an experimental identification of topological order in strongly correlated quantum many-body systems.

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