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Entanglement Between Noncomplementary Parts of Many-Body Systems (Hardcover, 2011 Ed.)
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Entanglement Between Noncomplementary Parts of Many-Body Systems (Hardcover, 2011 Ed.)
Series: Springer Theses
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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.
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