Surveying Structural Complexity in Quantum Many-Body 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 char...

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Bibliographic Details
Published in:Journal of statistical physics Vol. 187; no. 1
Main Authors: Suen, Whei Yeap, Elliott, Thomas J., Thompson, Jayne, Garner, Andrew J. P., Mahoney, John R., Vedral, Vlatko, Gu, Mile
Format: Journal Article
Language:English
Published: New York Springer US 01.04.2022
Springer
Springer Nature B.V
Subjects:
Complexity
Entanglement
Information theory
Ising model
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Quantum complexity
Quantum model
Stochastic process
Bose hubbard
Quantum Ising
Complexity
ISSN:0022-4715, 1572-9613
Online Access:Get full text
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Summary: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.
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ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-022-02895-6