Finite-temperature quantum discordant criticality

• URL: http://arxiv.org/abs/2110.10597v2
• Date: Tue, 26 Oct 2021 13:21:30 GMT
• Title: Finite-temperature quantum discordant criticality
• Authors: Poetri Sonya Tarabunga, Tiago Mendes-Santos, Fabrizio Illuminati, Marcello Dalmonte
• Abstract summary: In quantum statistical mechanics, finite-temperature phase transitions are governed by classical field theories. Recent contributions have shown how entanglement is typically very short-ranged, and thus uninformative about long-ranged critical correlations. We show the existence of finite-temperature phase transitions where a broader form of quantum correlation than entanglement, the entropic quantum discord, can display genuine signatures of critical behavior.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum statistical mechanics, finite-temperature phase transitions are typically governed by classical field theories. In this context, the role of quantum correlations is unclear: recent contributions have shown how entanglement is typically very short-ranged, and thus uninformative about long-ranged critical correlations. In this work, we show the existence of finite-temperature phase transitions where a broader form of quantum correlation than entanglement, the entropic quantum discord, can display genuine signatures of critical behavior. We consider integrable bosonic field theories in both two- and three-dimensional lattices, and show how the two-mode Gaussian discord decays algebraically with the distance even in cases where the entanglement negativity vanishes beyond nearest-neighbor separations. Systematically approaching the zero-temperature limit allows us to connect discord to entanglement, drawing a generic picture of quantum correlations and critical behavior that naturally describes the transition between entangled and discordant quantum matter.

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