Physical Sciences and Mathematics Commons^™

Surveying Structural Complexity In Quantum Many-Body Systems, Whei Yeap Suen, Thomas J. Elliott, Jayne Thompson, Andrew J. P. Garner, John R. Mahoney, Vlatko Vedral, Mile Gu

Research Collection School Of Computing and Information Systems

Quantum many-body systems exhibit a rich and diverse range of exotic behaviours, owing to their underlying non-classical structure. These systems present a deep structure beyond those that can be captured by measures of correlation and entanglement alone. Using tools from complexity science, we characterise such structure. We investigate the structural complexities that can be found within the patterns that manifest from the observational data of these systems. In particular, using two prototypical quantum many-body systems as test cases-the one-dimensional quantum Ising and Bose-Hubbard models-we explore how different information-theoretic measures of complexity are able to identify different features of such patterns. …