info:eu-repo/semantics/article
Signatures of quantum chaos transition in short spin chains
Fecha
2020-06Registro en:
Fortes, Emiliano M.; García Mata, Ignacio; Jalabert, Rodolfo; Wisniacki, Diego Ariel; Signatures of quantum chaos transition in short spin chains; Europhysics Letters; Europhysics Letters; 130; 6; 6-2020; 1-9
0295-5075
CONICET Digital
CONICET
Autor
Fortes, Emiliano M.
García Mata, Ignacio
Jalabert, Rodolfo
Wisniacki, Diego Ariel
Resumen
The non-integrability of quantum systems, often associated with chaotic behavior, is a concept typically applied to cases with a high-dimensional Hilbert space. Among different indicators signaling this behavior, the study of the long-time oscillations of the Out-of-Time Ordered Correlator (OTOC) appears as a versatile tool, that can be adapted to the case of systems with a small number of degrees of freedom. Using such an approach, we consider the oscillations observed after the scrambling time in the measurement of OTOCs of local operators for an Ising spin chain on a nuclear magnetic resonance quantum simulator (Li J. et al., Phys. Rev. X, 7 (2017) 031011). We show that the systematic of the OTOC oscillations describes qualitatively well, in a chain with only 4 spins, the integrability-to-chaos transition inherited from the infinite chain.