У оквиру семинара Strings, Holography & Chaos, у среду, 2. јула у 12 часова путем Zoom платформе, Jovan Odavić (Universita degli Studi di Napoli Federico II, Напуљ, Италија) одржаће предавање:
Quantum Chaos, Non-Stabilizerness, and the Sachdev-Ye-Kitaev Model
САЖЕТАК:
Understanding quantum chaos in many-body systems is crucial to a variety of scientific fields. In statistical physics, the onset of quantum chaos is closely tied to the mechanisms of thermalization. In high-energy physics, chaos and information scrambling play a fundamental role in understanding black hole dynamics. Interestingly, quantum chaos is also relevant to the concept of quantum advantage, i.e. the provable speed-up of algorithms run on quantum hardware. The ability to harness ergodicity and with it, quantum chaos, lies at the core of quantum computing’s transformative potential.
In this talk, I will introduce the concept of non-stabilizerness, also known colloquially as „magic“, and discuss its roots in quantum information science. Magic, like entanglement, is a purely quantum resource and plays a crucial role in enabling universal quantum computation. I will also present our recent results (arXiv:2502.03093), where we explored the interplay between entanglement and magic in the Sachdev-Ye-Kitaev (SYK) model – a paradigmatic disordered quantum system with deep connections to the low-dimensional description of black holes.
Additionally, I will present new results (arXiv:2505.05199) on the spectral form factor (SFF), a key diagnostic for identifying the onset of quantum chaos in many-body quantum systems. Our analysis exploits a mathematical correspondence between the SFF and random planar walks, offering a novel perspective on its behavior. I will highlight the utility of our recently derived closed-form expression for the plateau (long-time) regime of the SFF in the Sachdev-Ye-Kitaev (SYK) model at various temperatures.
ПРИСТУП СЕМИНАРУ:
https://zoom.us/j/96430745641?pwd=ybBmZ3AFtiQKL8TIDrhJGq7dg1taUU.1
Meeting ID: 964 3074 5641
Passcode: 285476