Dissipation-enhanced scrambling in the SYK model coupled to a lossy cavity

• URL: http://arxiv.org/abs/2608.19310v2
• Date: Mon, 24 Aug 2026 20:45:09 GMT
• Title: Dissipation-enhanced scrambling in the SYK model coupled to a lossy cavity
• Abstract summary: We study a disordered model of $N$ Majorana fermions and $R=N$ bosons in which the bosons are linearly coupled to independent realizations of SYK $p$-body interactions.<n>Motivated by recent proposals for implementing SYK models in quantum simulators, we focus on bosonic leakage at rate $$.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the Yukawa-Sachdev-Ye-Kitaev model, a disordered model of $N$ Majorana fermions and $R=γN$ bosons in which the bosons are linearly coupled to independent realizations of SYK $p$-body interactions, in the presence of dissipation, modeled by a Lindblad master equation. Motivated by recent proposals for implementing SYK models in quantum simulators, we focus on bosonic leakage at rate $κ$. Initializing the system in the steady state, we analyze the late-time fermionic relaxation rate and the Lyapunov exponent, solving the large-$N$ theory both numerically and for $p$ large, finding a rich landscape of dynamical behaviors. Most notably, the Lyapunov exponent remains positive for every value of $κ$ and, for $p>2$, can even grow as $κ$ increases. The QED case $p=2$, which lies between the fully chaotic regime $p>2$ and the integrable case $p=1$, exhibits special features. We also identify a critical value of the boson-to-fermion ratio $γ_c \approx 2/p^2$ separating distinct dynamical regimes.

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