Year: 2020
Type: article
Abstract: 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.
Source: Europhysics Letters (EPL)
Authors: Emiliano M. Fortes, Ignacio García-Mata, Rodolfo A. Jalabert, Diego A. Wisniacki
Institutions: Universidad de Buenos Aires, Instituto de Física de Buenos Aires, Consejo Nacional de Investigaciones Científicas y Técnicas, National University of Mar del Plata, Instituto de Investigaciones Físicas de Mar del Plata, Centre National de la Recherche Scientifique, Institut de Physique et Chimie des Matériaux de Strasbourg, Université de Strasbourg
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $1,580
OpenAlex ID: W3022305728