Surveying Structural Complexity in Quantum Many-Body Systems

Whei Yeap Suen, Thomas Elliott, Jayne Thompson, Andrew J. P. Garner, John Mahoney, Vlatko Vedral, Mile Gu

Research output: Contribution to journalArticlepeer-review


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. This work furthers the understanding of fully-quantum notions of structure and complexity in quantum systems and dynamics.

Original languageEnglish
Article number4
JournalJournal of Statistical Physics
Issue number1
Publication statusPublished - 18 Feb 2022


  • Bose hubbard
  • Complexity
  • Quantum Ising
  • Quantum complexity
  • Quantum model
  • Stochastic process


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