Semiclassical Theory of Many-Body Quantum Chaos and its Bound.
We introduce a direct quantum-classical correspondence for the chaotic dynamics of quantum many-body systems. The bound on chaos is understood as a "chaotic mobility edge" in the classical Lyapunov spectrum, separating the lower part of the spectrum for which a classical chaos picture applies from the higher part of the spectrum for which quantum interference effects destroy classical chaos. The dominant chaotic mode in bound-saturating systems is exactly at the "mobility edge" and therefore inherits a universal critical behavior. We provide an explicit example by introducing a classical version of the Sachdev-Ye-Kitaev (SYK) model for which chaos can be understood as arising from diverging geodesics on a high-dimensional manifold with a random metric.
Publisher URL: http://arxiv.org/abs/1711.04768
DOI: arXiv:1711.04768v1
Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.
Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.