QubitLogic
arXiv

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

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.

Most notably, the Lyapunov exponent remains positive for every value of $κ$ and, for $p>2$, can even grow as $κ$ increases.

Why this matters

Quantum computing models, like the SYK model, offer insights into complex quantum behaviors which are essential for advancing quantum simulation technologies. Understanding these behaviors, such as how systems respond to dissipation, is crucial for potential real-world quantum applications.

What they actually achieved

Researchers analyzed the Yukawa-Sachdev-Ye-Kitaev model in the presence of dissipation and identified how the Lyapunov exponent behaves across different parameters. They discovered that for certain conditions, the exponent remains positive and can increase with dissipation.

What they did not achieve

The study does not provide a practical implementation of the model in quantum simulators. It also focuses on theoretical analysis without experimental verification of the findings.

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