Strong–weak duality via Jordan–Wigner transformation: Using fermionic methods for strongly correlated su(2) spin systems

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dc.citation.articleNumber194114
dc.citation.issueNumber19
dc.citation.journalTitleThe Journal of Chemical Physics
dc.citation.volumeNumber157
dc.contributor.authorHenderson, Thomas M.
dc.contributor.authorChen, Guo P.
dc.contributor.authorScuseria, Gustavo E.
dc.date.accessioned2022-12-16T21:03:23Z
dc.date.available2022-12-16T21:03:23Z
dc.date.issued2022
dc.description.abstractThe Jordan–Wigner transformation establishes a duality between su(2) and fermionic algebras. We present qualitative arguments and numerical evidence that when mapping spins to fermions, the transformation makes strong correlation weaker, as demonstrated by the Hartree–Fock approximation to the transformed Hamiltonian. This result can be rationalized in terms of rank reduction of spin shift terms when transformed to fermions. Conversely, the mapping of fermions to qubits makes strong correlation stronger, complicating its solution when one uses qubit-based correlators. The presence of string operators poses challenges to the implementation of quantum chemistry methods on classical computers, but these can be dealt with using established techniques of low computational cost. Our proof of principle results for XXZ and J1-J2 Heisenberg (in 1D and 2D) indicates that the JW transformed fermionic Hamiltonian has reduced complexity in key regions of their phase diagrams and provides a better starting point for addressing challenging spin problems.
dc.identifier.citationHenderson, Thomas M., Chen, Guo P. and Scuseria, Gustavo E.. "Strong–weak duality via Jordan–Wigner transformation: Using fermionic methods for strongly correlated su(2) spin systems." <i>The Journal of Chemical Physics,</i> 157, no. 19 (2022) AIP Publishing: https://doi.org/10.1063/5.0125124.
dc.identifier.doihttps://doi.org/10.1063/5.0125124
dc.identifier.urihttps://hdl.handle.net/1911/114151
dc.language.isoeng
dc.publisherAIP Publishing
dc.rightsThis is an author's post-print. The published article is copyrighted by the authors.
dc.titleStrong–weak duality via Jordan–Wigner transformation: Using fermionic methods for strongly correlated su(2) spin systems
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpost-print
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