Localizable quantum coherence

• URL: http://arxiv.org/abs/2005.02988v2
• Date: Tue, 2 Mar 2021 15:35:55 GMT
• Title: Localizable quantum coherence
• Authors: Alioscia Hamma, Georgios Styliaris, Paolo Zanardi
• Abstract summary: Coherence is a fundamental notion in quantum mechanics, defined relative to a reference basis. We put forward a notion of localizable coherence as the coherence that can be stored in a particular subsystem. We show that it can be applied to reveal the real-space structure of states of interest in quantum many-body theory.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Coherence is a fundamental notion in quantum mechanics, defined relative to a reference basis. As such, it does not necessarily reveal the locality of interactions nor takes into account the accessible operations in a composite quantum system. In this paper, we put forward a notion of localizable coherence as the coherence that can be stored in a particular subsystem, either by measuring or just by disregarding the rest. We examine its spreading, its average properties in the Hilbert space and show that it can be applied to reveal the real-space structure of states of interest in quantum many-body theory, for example, localized or topological states.

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