Quantum Information scrambling and many-body quantum chaos

Project description

Classical chaos is commonly often described via the butterfly effect: tiny variations in initial conditions are amplified exponentially fast in the presence of chaos. As a result such systems are effectively impossible to predict beyond very short time scales and this inability to predict may be described as a loss of information. Similar effects can be seen in quantum mechanics where information can also be lossed effectively via entanglement with the environment - this is known as quantum information scrambling.  In the presence of so-called quantum chaos this happens exponentially fast. The effect is relevant for any quantum technology that uses quantum resources such as entanglement or coherence. It is also believed to be a possible resolution of the information loss paradaxon in black holes. In this project quantum information scrambling will be investigated in quantum many-body systems such as spin chains, spin networks or the Sachdev-Ye-Kitaev model. A recently developed quantum-classical correspondence (see literature) will be used to predict quantum behaviour based on properties of the corresponding classical map and to develope asymptotic approximation schemes.