Pachos, JK orcid.org/0000-0002-9775-4436 and Papić, Z (2018) Quantifying the effect of interactions in quantum many-body systems. SciPost Physics Lecture Notes, 2018. 4. ISSN 2590-1990
Abstract
Free fermion systems enjoy a privileged place in physics. With their simple structure they can explain a variety of effects, ranging from insulating and metallic behaviours to superconductivity and the integer quantum Hall effect. Interactions, e.g. in the form of Coulomb repulsion, can dramatically alter this picture by giving rise to emerging physics that may not resemble free fermions. Examples of such phenomena include high-temperature superconductivity, fractional quantum Hall effect, Kondo effect and quantum spin liquids. The non-perturbative behaviour of such systems remains a major obstacle to their theoretical understanding that could unlock further technological applications. Here, we present a pedagogical review of "interaction distance" [Nat. Commun. 8, 14926 (2017)] -- a systematic method that quantifies the effect interactions can have on the energy spectrum and on the quantum correlations of generic many-body systems. In particular, the interaction distance is a diagnostic tool that identifies the emergent physics of interacting systems. We illustrate this method on the simple example of a one-dimensional Fermi-Hubbard dimer.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © J. Pachos and Z. Papić 2018. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. |
Keywords: | quant-ph; quant-ph; cond-mat.stat-mech; cond-mat.str-el |
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 EP/P009409/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Nov 2018 16:30 |
Last Modified: | 20 Nov 2018 16:30 |
Status: | Published |
Publisher: | SciPost Foundation |
Identification Number: | 10.21468/SciPostPhysLectNotes.4 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:129199 |