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  Variational Ansatz for the Ground State of the Quantum Sherrington-Kirkpatrick Model

Schindler, P. M., Guaita, T., Shi, T., Demler, E., & Cirac, J. I. (2022). Variational Ansatz for the Ground State of the Quantum Sherrington-Kirkpatrick Model. Physical Review Letters, 129(22): 220401. doi:10.1103/PhysRevLett.129.220401.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000C-BD2E-D Version Permalink: https://hdl.handle.net/21.11116/0000-000C-BD2F-C
Genre: Journal Article

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 Creators:
Schindler, Paul M.1, Author
Guaita, Tommaso1, Author
Shi, Tao1, Author
Demler, Eugene1, Author
Cirac, J. Ignacio1, Author
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1external, ou_persistent22              

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 Abstract: We present an Ansatz for the ground states of the quantum Sherrington-Kirkpatrick model, a paradigmatic model for quantum spin glasses. Our Ansatz, based on the concept of generalized coherent states, very well captures the fundamental aspects of the model, including the ground state energy and the position of the spin glass phase transition. It further enables us to study some previously unexplored features, such as the nonvanishing longitudinal field regime and the entanglement structure of the ground states. We find that the ground state entanglement can be captured by a simple ensemble of weighted graph states with normally distributed phase gates, leading to a volume law entanglement, contrasting with predictions based on entanglement monogamy.

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Language(s): -
 Dates: 2022-11-212022-11-23
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: ISI: 000923568700001
DOI: 10.1103/PhysRevLett.129.220401
arXiv: 2204.02923
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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 129 (22) Sequence Number: 220401 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1