Entanglement Resource Extraction in Quantum Many Body Systems

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Entanglement in quantum many body systems has been the subject of much research interest since the ability to quantify it first arose. Previous studies have studied the entanglement between two individual spins in a bipartite system; between contiguous blocks of many spins; and between blocks of spins spatially separated from one another. What remains to be studied in detail is the entanglement between distant blocks of spins which belong to the same chain. This is a useful characterisation to make, since it allows for the study of systems whereby external probes interact with the chain and become entangled to one another - thus the natural entanglement in the spin chain can be extracted for use as a resource. The extraction of entanglement in this way is preferable to generation, since it effectively comes for free. The primary aim of this research is to investigate such an entanglement model in various condensed matter systems, and aims to provide a theoretical proposal for its extraction. A further aim is then to investigate the application of this scheme in quantum metrology, and also in investigating the entanglement structure of relativistic fields.