A cavity-QED simulator of slow and fast scrambling

التفاصيل البيبلوغرافية
العنوان: A cavity-QED simulator of slow and fast scrambling
المؤلفون: Marino, J., Rey, A. M.
المصدر: Phys. Rev. A 99, 051803 (2019)
سنة النشر: 2018
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Condensed Matter - Quantum Gases, Quantum Physics
الوصف: We study information scrambling, as diagnosed by the out-of-time order correlations (OTOCs), in a system of large spins collectively interacting via spatially inhomogeneous and incommensurate exchange couplings. The model is realisable in a cavity QED system in the dispersive regime. Fast scrambling, signalled by an exponential growth of the OTOCs, is observed when the couplings do not factorise into the product of a pair of local interaction terms, and at the same time the state of the spins points initially coplanar to the equator of the Bloch sphere. When one of these conditions is not realised, OTOCs grow algebraically with an exponent sensitive to the orientation of the spins in the initial state. The impact of initial conditions on the scrambling dynamics is attributed to the presence of a global conserved quantity, which critically slows down the evolution for initial states close to the poles of the Bloch sphere.
Comment: 8 pages, 4 figures; version accepted for publication in PRA Rapid Communications
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevA.99.051803
URL الوصول: http://arxiv.org/abs/1810.00866
رقم الأكسشن: edsarx.1810.00866
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevA.99.051803