Publication Type
Journal Article
Version
submittedVersion
Publication Date
4-2022
Abstract
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.
Keywords
Quantum Ising, Bose Hubbard, Complexity, Quantum complexity, Quantum model, Stochastic process
Discipline
Physics
Research Areas
Data Science and Engineering
Publication
Journal of Statistical Physics
Volume
187
Issue
1
ISSN
0022-4715
Identifier
10.1007/s10955-022-02895-6
Publisher
Springer
Citation
SUEN, Whei Yeap; ELLIOTT, Thomas J.; THOMPSON, Jayne; GARNER, Andrew J. P.; MAHONEY, John R.; VEDRAL, Vlatko; and GU, Mile.
Surveying Structural Complexity in Quantum Many-Body Systems. (2022). Journal of Statistical Physics. 187, (1),.
Available at: https://ink.library.smu.edu.sg/sis_research/7824
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
http://doi.org/10.1007/s10955-022-02895-6