Foundations and Applications of Entanglement Renormalization

Glen Evenbly (2010). Foundations and Applications of Entanglement Renormalization PhD Thesis, School of Mathematics and Physics, The University of Queensland.

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Author Glen Evenbly
Thesis Title Foundations and Applications of Entanglement Renormalization
School, Centre or Institute School of Mathematics and Physics
Institution The University of Queensland
Publication date 2010-07
Thesis type PhD Thesis
Total pages 202
Total colour pages 53
Total black and white pages 149
Subjects 02 Physical Sciences
Abstract/Summary Understanding the collective behavior of a quantum many-body system, a system composed of a large number of interacting microscopic degrees of freedom, is a key aspect in many areas of contemporary physics. However, as a direct consequence of the difficultly of the so-called many-body problem, many exotic quantum phenomena involving extended systems, such as high temperature superconductivity, remain not well understood on a theoretical level. Entanglement renormalization is a recently proposed numerical method for the simulation of many-body systems which draws together ideas from the renormalization group and from the field of quantum information. By taking due care of the quantum entanglement of a system, entanglement renormalization has the potential to go beyond the limitations of previous numerical methods and to provide new insight to quantum collective phenomena. This thesis comprises a significant portion of the research development of ER following its initial proposal. This includes exploratory studies with ER in simple systems of free particles, the development of the optimisation algorithms associated to ER, and the early applications of ER in the study of quantum critical phenomena and frustrated spin systems.
Keyword Entanglement renormalization
Quantum many-body systems
Tensor networks
Simulation algorithms
Additional Notes 49,50,52-56,60,67,69-71,78,84,89,93,95-98,100,107-110, 112,113,116-119,126,127,129,134,136,138,139,141,142,148,149, 152,157,159,160,162,163,166,168,170,171,174

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Created: Tue, 13 Jul 2010, 11:51:37 EST by Mr Glen Evenbly on behalf of Library - Information Access Service