Quantum chaos: creation of a new research field?

Cole Bernard Cecchetto

Giulio Casati, Boris Chirikov

The present collection of papers is devoted to a rather new and very controversial topic, the so-called “quantum chaos”. Some researchers see nothing essentially new at all in this phenomenon (apart from a number of various examples and models), and they have good reason to believe so. Indeed, the problems in this field all belong to the traditional, “old-fashion”, and rather “simple” quantum mechanics of finite-dimensional systems with a given interaction and no quantized fields. Nevertheless, many, including ourselves, consider quantum chaos to be a new discovery, though in an old field, of a great importance for fundamental physics. To understand this, the phenomenon of quantum chaos should be put into its proper perspective in recent developments in physics. The central point of this perspective is the conception of dynamical chaos (also a rather new topic) in classical mechanics (for a good review see, e.g., Refs.[l-3]). Thus before discussing the current understanding of quantum chaos we need briefly to describe classical dynamical chaos

P. Lebœuf

Jincheng Zhang

Chaos theory, characterized by unpredictable and seemingly random behavior, has long fascinated scientists and philosophers. Traditional methods of studying chaos often rely on observing chaotic systems, providing valuable insights but lacking the capability to actively orchestrate or control them. This paper proposes a radical new approach: utilizing quantum entanglement to create self-synchronizing chaos systems, demonstrating a mechanism for propagating information across macroscopic scales without the limitations of classical communication. Quantum entanglement offers a unique pathway to manipulating the dynamics of chaotic systems, potentially leading to the creation of complex patterns and feedback loops that would be impossible to achieve through conventional methods. The core of this work involves developing a novel quantum algorithm designed to generate entangled states that act as catalysts, guiding the chaotic evolution towards pre-defined emergent states. We present a preliminary analysis and simulation demonstrating the feasibility of this approach, showcasing the potential for self-organization and the creation of novel patterns within complex systems. The implications of this research extend beyond simply understanding chaos; it offers a potential pathway toward the design of adaptive and responsive systems with unprecedented control.

А. В. Богданов, Ashot S. Gevorkyan, A. G. Grigoryan +1 more

A new formulation of the theory of quantum mechanical multichannel scattering for three body collinear systems is proposed. It is shown that for this simple case, the principle of quantum determinism in the general case breaks down, and we have a micro-irreversible quantum mechanics. The first principle calculations of the quantum chaos (wave chaos) were pursued on the example of an elementary chemical reaction Li+(FH)→(LiFH)*→(LiF)+ H.

Graham P. Collins