تقرير
Fast Scrambling at the Boundary
| العنوان: | Fast Scrambling at the Boundary |
|---|---|
| المؤلفون: | Larzul, Ancel, Sengupta, Anirvan M., Georges, Antoine, Schirò, Marco |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Theory Quantum Physics |
| مصطلحات موضوعية: | Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory, Quantum Physics |
| الوصف: | Many-body systems which saturate the quantum bound on chaos are attracting interest across a wide range of fields. Notable examples include the Sachdev-Ye-Kitaev model and its variations, all characterised by some form or randomness and all to all couplings. Here we study many-body quantum chaos in a quantum impurity model showing Non-Fermi-Liquid physics, the overscreened multichannel $SU(N)$ Kondo model. We compute exactly the low-temperature behavior of the out-of time order correlator in the limit of large $N$ and large number of channels $K$, at fixed ratio $\gamma=K/N$. Due to strong correlations at the impurity site the spin fractionalizes in auxiliary fermions and bosons. We show that all the degrees of freedom of our theory acquire a Lyapunov exponent which is linear in temperature as $T\rightarrow 0$, with a prefactor that depends on $\gamma$. Remarkably, for $N=K$ the impurity spin displays maximal chaos, while bosons and fermions only get up to half of the maximal Lyapunov exponent. Our results highlights two new features: a non-disordered model which is maximally chaotic due to strong correlations at its boundary and a fractionalization of quantum chaos. Comment: 16 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.13617 |
| رقم الأكسشن: | edsarx.2407.13617 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |