Entanglement Hamiltonians and the quasiparticle picture

• URL: http://arxiv.org/abs/2407.01730v1
• Date: Mon, 1 Jul 2024 19:03:47 GMT
• Title: Entanglement Hamiltonians and the quasiparticle picture
• Authors: Federico Rottoli, Colin Rylands, Pasquale Calabrese,
• Abstract summary: entanglement Hamiltonian provides most comprehensive characterization of bipartite entanglement in many-body quantum systems. In non-equilibrium situations, analytic results are rare and largely confined to continuous field theories. We present an exact analytic result for the EH following a generic quantum quench in non-interacting fermionic models.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The entanglement Hamiltonian (EH) provides the most comprehensive characterization of bipartite entanglement in many-body quantum systems. Ground states of local Hamiltonians inherit this locality, resulting in EHs that are dominated by local, few-body terms. Unfortunately, in non-equilibrium situations, analytic results are rare and largely confined to continuous field theories, which fail to accurately describe microscopic models. To address this gap, we present an exact analytic result for the EH following a generic quantum quench in non-interacting fermionic models. This derivation adapts the celebrated quasiparticle picture to the EH, providing detailed insights into its physical properties. The resulting analytic formula serves as a foundation for engineering EHs in quantum optics experiments.

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