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...

Full description

Saved in:
Bibliographic Details
Main Authors: Suen, Whei Yeap, Elliott, Thomas J., Thompson, Jayne, Garner, Andrew J. P., Mahoney, John R., Vedral, Vlatko, Gu, Mile
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/162562
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Nanyang Technological University
Language: English
id sg-ntu-dr.10356-162562
record_format dspace
spelling sg-ntu-dr.10356-1625622022-10-31T01:45:40Z 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 School of Physical and Mathematical Sciences Complexity Institute Science::Physics Quantum Ising Bose Hubbard 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. Ministry of Education (MOE) National Research Foundation (NRF) This work was funded by grant FQXi-RFP-1809 from the Foundational Questions Institute and Fetzer Franklin Fund (a donor advised fund of Silicon Valley Community Foundation), the Singapore Quantum Engineering Program QEP-SF3, the Singapore National Research Foundation Fellowship NRF-NRFF2016-02, the Imperial College Borland Fellowship in Mathematics, the Lee Kuan Yew Endowment Fund (Postdoctoral Fellowship), and the Singapore Ministry of Education Tier 1 grant RG162/19. 2022-10-31T01:45:40Z 2022-10-31T01:45:40Z 2022 Journal Article Suen, W. Y., Elliott, T. J., Thompson, J., Garner, A. J. P., Mahoney, J. R., Vedral, V. & Gu, M. (2022). Surveying structural complexity in quantum many-body systems. Journal of Statistical Physics, 187(1). https://dx.doi.org/10.1007/s10955-022-02895-6 0022-4715 https://hdl.handle.net/10356/162562 10.1007/s10955-022-02895-6 2-s2.0-85125298515 1 187 en NRF-NRFF2016-02 RG162/19 Journal of Statistical Physics © 2022 The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
Quantum Ising
Bose Hubbard
spellingShingle Science::Physics
Quantum Ising
Bose Hubbard
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
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Suen, Whei Yeap
Elliott, Thomas J.
Thompson, Jayne
Garner, Andrew J. P.
Mahoney, John R.
Vedral, Vlatko
Gu, Mile
format Article
author Suen, Whei Yeap
Elliott, Thomas J.
Thompson, Jayne
Garner, Andrew J. P.
Mahoney, John R.
Vedral, Vlatko
Gu, Mile
author_sort 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
title_fullStr Surveying structural complexity in quantum many-body systems
title_full_unstemmed Surveying structural complexity in quantum many-body systems
title_sort surveying structural complexity in quantum many-body systems
publishDate 2022
url https://hdl.handle.net/10356/162562
_version_ 1749179194015744000