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Subsystem R\'enyi Entropy of Thermal Ensembles for SYK-like models

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arxiv 2003.09766 v2 pith:NW25IJG2 submitted 2020-03-21 cond-mat.str-el quant-ph

Pengfei Zhang , Chunxiao Liu , Xiao Chen This is my paper · ORCID
classification cond-mat.str-elquant-ph
keywords modelentropysubsystemthermalenyirandomapproximatedcharge
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abstract

The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal R\'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$ limit. The results are consistent with exact diagonalization [1] and can be well approximated by thermal entropy with an effective temperature [2] when subsystem size $M\leq N/2$. We also consider generalizations of the SYK model with quadratic random hopping term or $U(1)$ charge conservation.

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Cited by 2 Pith papers

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

  1. Emergence of the Scrooge Ensemble in the Sachdev-Ye-Kitaev Model

    quant-ph 2026-07 accept novelty 7.5 of 10

    All moments of the projected ensemble in the SYK model exactly coincide with those of the Scrooge ensemble, generated by replica-permutation saddles of the measurement path integral, even at arbitrarily short times.

  2. Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors

    quant-ph 2026-01 conditional novelty 7.0 of 10

    For chaotic all-to-all systems, the stabilizer Rényi entropy of thermofield double states is set by the spectral form factor and saturates through a first-order dynamical transition.

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