• quantum simulation
• information scrambling
• cooperative shielding
• quantum transport
• xxz model

Quantum transport and information scrambling are two prominent and active fields of research in quantum technologies: the former relates to the diffusion of information or energy through a certain system, the latter to the shuffling of local information through entanglement and correlations. Their study is pivotal for a variety of potential applications, ranging from practical tools for efficient quantum simulation or error correction in quantum computing, to fundamental questions like the holographic principle in black holes. In a different line of reasoning, quantum mechanics provides us also with tools and ways of thinking “out of the box”, meaning that its mathematical machinery can be used to describe, in an effective and efficient manner, the phenomena occurring in complex systems that do not necessarily need to be “quantum”, but can benefit from the intrinsic non-linearity of e.g. entanglement, tunnelling or measurement processes. We studied the properties of information processing and transport of a paradigmatic XXZ Heisenberg spin chain, which is able to reproduce the phenomenology found in our ability of counting by mimicking the process of numerical perception, common to most animals on Earth. Both from the interest in the physical properties of the system and its ability for the neuroscience analogy, we investigated the role of network topology in information transport with the help of the Inverse Participation Ratio and the magnetization current, and the behavior of out-of-time ordered correlators in information processing. We also approached the problem theoretically by investigating the energy levels of the system through the lens of cooperative shielding.