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Numerical study of fermion and boson models with infinite-range random interactions

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arxiv 1603.05246 v2 pith:CYERMJTE submitted 2016-03-16 cond-mat.str-el hep-th

Wenbo Fu , Subir Sachdev This is my paper · ORCID
classification cond-mat.str-elhep-th
keywords fermionbosondiagonalizationentropyexactmodelsnumericalresults
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abstract

We present numerical studies of fermion and boson models with random all-to-all interactions (the SYK models). The high temperature expansion and exact diagonalization of the $N$-site fermion model are used to compute the entropy density: our results are consistent with the numerical solution of $N=\infty$ saddle point equations, and the presence of a non-zero entropy density in the limit of vanishing temperature. The exact diagonalization results for the fermion Green's function also appear to converge well to the $N=\infty$ solution. For the hard-core boson model, the exact diagonalization study indicates spin glass order. Some results on the entanglement entropy and the out-of-time-order correlators are also presented.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement production in the Sachdev-Ye-Kitaev Model and its variants

    quant-ph 2025-07 conditional novelty 6.0 of 10

    Entanglement production rates distinguish the spin-SYK model from fermionic SYK and binary SYK, and the differences only become visible at larger system sizes.

  2. SYK non Fermi Liquid Correlations in Nanoscopic Quantum Transport

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    A quantum dot with strong interactions and a narrow band is predicted to show Sachdev-Ye-Kitaev non Fermi liquid transport, including a T^{3/2} inelastic cotunneling conductance.

  3. Information scrambling in all-to-all interacting models

    quant-ph 2026-06 unverdicted novelty 4.0 of 10

    Numerical study of the SYK-q spin model finds rapid entanglement growth to Haar-random saturation, a universal Rényi-1/2 mutual information vs negativity relation at minimal q, and Page-curve behavior in negativity un...

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