Springer Theses Entanglement Between Noncomplementary Parts of Many-Body Systems (Paperback)

This thesis investigates the structure and behaviour of entanglement the purely quantum mechanical part of correlations in many-body systems employing both numerical and analytical techniques at the interface of condensed matter theory and quantum information theory. Entanglement can be seen as a precious resource which for example enables the noiseless and instant transmission of quantum information provided the communicating parties share a sufficient amount of it. Furthermore measures of entanglement of a quantum mechanical state are perceived as useful probes of collective properties of many-body systems. For instance certain measures are capable of detecting and classifying ground-state phases and particularly transition (or critical) points separating such phases. Chapters 2 and 3 focus on entanglement in many-body systems and its use as a potential resource for communication protocols. They address the questions of how a substantial amount of entanglement can be established between distant subsystems and how efficiently this entanglement could be harvested by way of measurements. The subsequent chapters 4 and 5 are devoted to universality of entanglement between large collections of particles undergoing a quantum phase transition where despite the enormous complexity of these systems collective properties including entanglement no longer depend crucially on the microscopic details.