Advances in Dynamical Systems and Quantum Physics

Baldassare Di Bartolo, Giulio Gambarota

Based on a NATO Advanced Summer Institute, this volume discusses physical models, mathematical formalisms, experimental techniques, and applications for ultrafast dynamics of quantum systems. These sy

Pedram Roushan, Leigh S. Martin

Major technological advances of the past century are rooted in our understanding of quantum physics in the non-interacting limit. A central challenge today is to understand the behavior of complex quantum many-body systems, where interactions play an essential role. About four decades ago, Richard Feynman proposed using controllable quantum systems to efficiently simulate complex physics and chemistry problems, envisioning quantum orreries, highly tunable quantum devices built to emulate less understood quantum systems. Here we ask whether quantum simulators have already uncovered new physical phenomena-and, if so, in which areas and with what impact. We find that, in several notable instances, they have advanced our understanding of many-body quantum dynamics. Although many of these insights could in principle have been obtained theoretically or numerically, they were nevertheless first achieved using quantum processors. While a broad landscape of problems beyond non-equilibrium dynamics still awaits exploration, it is encouraging that quantum simulators are already beginning to challenge and refine our conventional wisdom.

Geoffrey L. Price, Baker, B. Mitchell, Palle E. T. Jørgensen +1 more

J. Oswald

Jincheng Zhang

Quantum topology, a fascinating area of physics, offers unique properties that can be exploited for advanced quantum control. This paper investigates the potential of dynamic quantum topology control to achieve adaptive system behavior. We introduce a novel control method predicated on the inherent self-adaptive nature of quantum topology, allowing for dynamic adjustment of quantum states. The core mechanism centers around exploiting these properties to achieve a system that responds effectively to changing conditions. This approach offers a significant advancement in quantum control compared to traditional methods, potentially unlocking new functionalities and applications. This work explores the theoretical foundations and preliminary experimental validation of this approach, highlighting its promise for dynamic system manipulation.