Physics – Quantum Physics
Scientific paper
2011-09-26
Physics
Quantum Physics
PhD thesis submitted to the University of Queensland in Jan 2010. Contains elements from: arXiv:0707.1454, arXiv:0710.0692, ar
Scientific paper
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.
No associations
LandOfFree
Foundations and Applications of Entanglement Renormalization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Foundations and Applications of Entanglement Renormalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Foundations and Applications of Entanglement Renormalization will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-685512