Naslov
The frustration of being odd: universal area law violation in local systems

Autori
Giampaolo, Salvatore Marco ; Ramos, Flávia Braga ; Franchini, Fabio

Izvornik
Journal of Physics Communications (2399-6528) 3 (2019), 8; 081001, 10

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, pismo, znanstveni

Ključne riječi
Entanglement, Frustration, Area Law Violation

Sažetak
At the core of every frustrated system one can identify the existence of frustrated rings that is usually interpreted in terms of single particle physics. We challenge this point of view, by showing that the ring's entanglement entropy cannot be accounted for through a single excitation. We study spin chains made by an odd number of sites with short-range antiferromagnetic interactions and periodic boundary conditions, thus characterized by a weak, i.e. nonextensive, frustration. While for distances of the order of the correlation length the phenomenology is similar to that of the non- frustrated case, we find that correlation functions involving a number of sites scaling like the system size follow different rules. In particular, the von Neumann entanglement entropy violates the area law, while it not diverging with the system size, resulting into a new behavior, never observed before, which we determine to follow a universal law. Challenging the traditional single particle picture also questions the role of boundary conditions, showing a dichotomy between the traditional definition of phases, in which the thermodynamic limit is taken beforehand, and the more modern approach of comparing phases through adiabatic local deformations.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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