Quantum Algorithms for Many-Body Chaos Simulation

In chaotic dynamics, the eigenstate thermalization hypothesis (ETH) posits that quantum systems can evolve toward an equilibrium state over time, regardless of their initial state. However, there exist quantum mechanical phenomena that violate the ETH. Quantum chaos, the study of chaos in quantum-mechanical systems, is a phenomenon exhibiting non-ergodic features. Scarring is an example of quantum chaotic behaviour occurring for eigenstates with an increased probability density along unstable and periodic orbits. As a result, the dynamics of the system will exhibit quantum revival, which is the system’s return to its initial state during time evolution.

In this work, we explore quantum chaotic behaviours in disordered systems through simulations inspired by quantum computational algorithms. We leverage the power of quantum-inspired algorithms to simulate the dynamics of many-body disordered systems. This study will help us uncover novel phenomena and applications for disordered materials.