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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Vydáno v:Journal of statistical physics Ročník 187; číslo 1
Hlavní autoři: Suen, Whei Yeap, Elliott, Thomas J., Thompson, Jayne, Garner, Andrew J. P., Mahoney, John R., Vedral, Vlatko, Gu, Mile
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.04.2022
Springer
Springer Nature B.V
Témata:
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
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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.
AbstractList 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.
ArticleNumber 4
Audience Academic
Author Garner, Andrew J. P.
Thompson, Jayne
Vedral, Vlatko
Elliott, Thomas J.
Suen, Whei Yeap
Mahoney, John R.
Gu, Mile
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  fullname: Suen, Whei Yeap
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  organization: Centre for Quantum Technologies, National University of Singapore, School of Information Systems, Singapore Management University
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  givenname: Thomas J.
  surname: Elliott
  fullname: Elliott, Thomas J.
  organization: Department of Mathematics, Imperial College London, School of Physical and Mathematical Sciences, Nanyang Technological University, Complexity Institute, Nanyang Technological University
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  givenname: Jayne
  surname: Thompson
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  fullname: Garner, Andrew J. P.
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  givenname: John R.
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  givenname: Vlatko
  surname: Vedral
  fullname: Vedral, Vlatko
  organization: Centre for Quantum Technologies, National University of Singapore, Department of Physics, Clarendon Laboratory, University of Oxford, Department of Physics, National University of Singapore
– sequence: 7
  givenname: Mile
  surname: Gu
  fullname: Gu, Mile
  organization: School of Physical and Mathematical Sciences, Nanyang Technological University, Complexity Institute, Nanyang Technological University
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Copyright The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022
COPYRIGHT 2022 Springer
The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022.
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– notice: The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022.
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Issue 1
Keywords Quantum complexity
Quantum model
Stochastic process
Bose hubbard
Quantum Ising
Complexity
Language English
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Snippet Quantum many-body systems exhibit a rich and diverse range of exotic behaviours, owing to their underlying non-classical structure. These systems present a...
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SubjectTerms Complexity
Entanglement
Information theory
Ising model
Mathematical and Computational Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
Title Surveying Structural Complexity in Quantum Many-Body Systems
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