Naslov
Characterizing and Quantifying Frustration in Quantum Many-Body Systems

Autori
Giampaolo, S. M. ; Gualdi, G. ; Monras, A. ; Illuminati, F.

Izvornik
Physical Review Letters (0031-9007) 107 (2011), 26; 260602, 5

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, ostalo

Ključne riječi
frustration

Sažetak
We present a general scheme for the study of frustration in quantum systems. We introduce a universal measure of frustration for arbitrary quantum systems and we relate it to a class of entanglement monotones via an exact inequality. If all the (pure) ground states of a given Hamiltonian saturate the inequality, then the system is said to be inequality saturating. We introduce sufficient conditions for a quantum spin system to be inequality saturating and confirm them with extensive numerical tests. These conditions provide a generalization to the quantum domain of the Toulouse criteria for classical frustration-free systems. The models satisfying these conditions can be reasonably identified as geometrically unfrustrated and subject to frustration of purely quantum origin. Our results therefore establish a unified framework for studying the intertwining of geometric and quantum contributions to frustration.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA