Papić, Z. (2022) Weak Ergodicity Breaking Through the Lens of Quantum Entanglement. In: Bayat, A., Bose, S. and Johannesson, H., (eds.) Entanglement in Spin Chains: From Theory to Quantum Technology Applications. Quantum Science and Technology . Springer , pp. 341-395. ISBN 978-3-031-03997-3
Abstract
Recent studies of interacting systems of quantum spins, ultracold atoms, and correlated fermions have shed a new light on how isolated many-body systems can avoid rapid equilibration to their thermal state. It has been shown that many such systems can “weakly” break ergodicity: they possess a small number of non-thermalising eigenstates and/or display slow relaxation from certain initial conditions, while the majority of other initial states equilibrate fast, like in conventional thermalising systems. In this chapter, we provide a pedagogical introduction to weak ergodicity breaking phenomena, including Hilbert space fragmentation and quantum many-body scars. Central to these developments have been the tools based on quantum entanglement, in particular matrix product states and tangent space techniques, which have allowed to analytically construct non-thermal eigenstates in various non-integrable quantum models, and to explore semiclassical quantisation of such systems in the absence of a large-N or mean-field limit. We also discuss recent experimental realisations of weak ergodicity breaking phenomena in systems of Rydberg atoms and tilted optical lattices.
Metadata
Item Type: | Book Section |
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Copyright, Publisher and Additional Information: | © 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG. This version of the chapter has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/978-3-031-03998-0_13. |
Keywords: | Quantum ergodicity, Quantum many-body chaos, Eigenstate thermalisation, PXP model, Semiclassical dynamics, Hilbert space fragmentation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Dec 2021 17:13 |
Last Modified: | 12 Apr 2024 00:13 |
Status: | Published |
Publisher: | Springer |
Series Name: | Quantum Science and Technology |
Identification Number: | 10.1007/978-3-031-03998-0_13 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:181168 |