Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit

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PhysRevLett.124.110601.pdf (465.6 KB)

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https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.110601

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http://hdl.handle.net/11603/16919

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2019-10-25

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journal articles
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Fogarty, Thomas; Deffner, Sebastian; Busch, Thomas; Campbell, Steve; Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit; Phys. Rev. Lett. 124, 110601(2020), DOI: 10.1103/PhysRevLett.124.110601

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Abstract

A remarkable feature of quantum many-body systems is the orthogonality catastrophe which describes their extensively growing sensitivity to local perturbations and plays an important role in condensed matter physics. Here we show that the dynamics of the orthogonality catastrophe can be fully characterized by the quantum speed limit and, more specifically, that any quantum many-body system whose energy scales with the number of particles exhibits the orthogonality catastrophe. Our rigorous findings are demonstrated by two paradigmatic classes of many-body systems - the trapped Fermi gas and the long-range interacting Lipkin-Meshkov-Glick spin model.