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

doi:10.1007/s10955-022-02895-6

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

Theoretical Physics Group

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	4
Journal	Journal of Statistical Physics
Volume	187
Issue number	1
DOIs	https://doi.org/10.1007/s10955-022-02895-6
Publication status	Published - 18 Feb 2022

Keywords

Bose hubbard
Complexity
Quantum Ising
Quantum complexity
Quantum model
Stochastic process

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https://arxiv.org/pdf/1812.09738Licence: Other

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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.",

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AU - Thompson, Jayne

AU - Garner, Andrew J. P.

AU - Mahoney, John

AU - Vedral, Vlatko

AU - Gu, Mile

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N2 - 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.

AB - 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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KW - Quantum model

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Surveying Structural Complexity in Quantum Many-Body Systems

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Keywords

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