Visualizing Quasiparticles from Quantum Entanglement for general 1D phases

• URL: http://arxiv.org/abs/2010.15137v1
• Date: Wed, 28 Oct 2020 18:00:03 GMT
• Title: Visualizing Quasiparticles from Quantum Entanglement for general 1D phases
• Authors: Elisabeth Wybo, Frank Pollmann, S. L. Sondhi, Yizhi You
• Abstract summary: We present a quantum information framework for the entanglement behavior of the low energy quasiparticle excitations in 1D systems. We first establish an exact correspondence between the correlation matrix and the QP entanglement Hamiltonian for free fermions. A more general understanding of such an in-gap state can be extended to a Kramers theorem for the QP entanglement Hamiltonian.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we present a quantum information framework for the entanglement behavior of the low energy quasiparticle (QP) excitations in various quantum phases in one-dimensional (1D) systems. We first establish an exact correspondence between the correlation matrix and the QP entanglement Hamiltonian for free fermions and find an extended in-gap state in the QP entanglement Hamiltonian as a consequence of the position uncertainty of the QP. A more general understanding of such an in-gap state can be extended to a Kramers theorem for the QP entanglement Hamiltonian, which also applies to strongly interacting systems. Further, we present a set of ubiquitous entanglement spectrum features, dubbed entanglement fragmentation, conditional mutual information, and measurement induced non-local entanglement for QPs in 1D symmetry protected topological phases. Our result thus provides a new framework to identify different phases of matter in terms of their QP entanglement.

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