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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sg-smu-ink.sis_research-88272023-05-15T02:49:08Z Surveying Structural Complexity in Quantum Many-Body Systems SUEN, Whei Yeap ELLIOTT, Thomas J. THOMPSON, Jayne GARNER, Andrew J. P. MAHONEY, John R. VEDRAL, Vlatko GU, Mile 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. 2022-04-01T07:00:00Z text application/pdf https://ink.library.smu.edu.sg/sis_research/7824 info:doi/10.1007/s10955-022-02895-6 https://ink.library.smu.edu.sg/context/sis_research/article/8827/viewcontent/1812.09738.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Computing and Information Systems eng Institutional Knowledge at Singapore Management University Quantum Ising Bose Hubbard Complexity Quantum complexity Quantum model Stochastic process Physics |
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Quantum Ising Bose Hubbard Complexity Quantum complexity Quantum model Stochastic process Physics SUEN, Whei Yeap ELLIOTT, Thomas J. THOMPSON, Jayne GARNER, Andrew J. P. MAHONEY, John R. VEDRAL, Vlatko GU, Mile Surveying Structural Complexity in Quantum Many-Body Systems |
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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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SUEN, Whei Yeap ELLIOTT, Thomas J. THOMPSON, Jayne GARNER, Andrew J. P. MAHONEY, John R. VEDRAL, Vlatko GU, Mile |
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SUEN, Whei Yeap ELLIOTT, Thomas J. THOMPSON, Jayne GARNER, Andrew J. P. MAHONEY, John R. VEDRAL, Vlatko GU, Mile |
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SUEN, Whei Yeap |
title |
Surveying Structural Complexity in Quantum Many-Body Systems |
title_short |
Surveying Structural Complexity in Quantum Many-Body Systems |
title_full |
Surveying Structural Complexity in Quantum Many-Body Systems |
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Surveying Structural Complexity in Quantum Many-Body Systems |
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Surveying Structural Complexity in Quantum Many-Body Systems |
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surveying structural complexity in quantum many-body systems |
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Institutional Knowledge at Singapore Management University |
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2022 |
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https://ink.library.smu.edu.sg/sis_research/7824 https://ink.library.smu.edu.sg/context/sis_research/article/8827/viewcontent/1812.09738.pdf |
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