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Journal Article

Finite-temperature quantum discordant criticality


Mendes-Santos,  Tiago
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Tarabunga, P. S., Mendes-Santos, T., Illuminati, F., & Dalmonte, M. (2022). Finite-temperature quantum discordant criticality. Physical Review B, 105(7): 075104. doi:10.1103/PhysRevB.105.075104.

Cite as: https://hdl.handle.net/21.11116/0000-000A-1ECF-D
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.