Pachos, JK orcid.org/0000-0002-9775-4436 and Vlachou, C (2022) Quantifying fermionic interactions from the violation of Wick’s theorem. Quantum, 6. 840. ISSN 2521-327X
Abstract
In contrast to interacting systems, the ground state of free systems has a highly ordered pattern of quantum correlations, as witnessed by Wick's decomposition. Here, we quantify the effect of interactions by measuring the violation they cause on Wick's decomposition. In particular, we express this violation in terms of the low entanglement spectrum of fermionic systems. Moreover, we establish a relation between the Wick's theorem violation and the interaction distance, the smallest distance between the reduced density matrix of the system and that of the optimal free model closest to the interacting one. Our work provides the means to quantify the effect of interactions in physical systems though measurable quantum correlations.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an open access article under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
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) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/R020612/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Sep 2022 10:08 |
Last Modified: | 06 Feb 2023 14:05 |
Status: | Published |
Publisher: | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
Identification Number: | 10.22331/q-2022-10-13-840 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:191018 |