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oai:www.ideals.illinois.edu:2142/26157 2023-07-10 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

Fradkin, Eduardo H. Vishveshwara, Smitha Fradkin, Eduardo H. Leigh, Robert G. Budakian, Raffi Hsu, Benjamin 2011-08-25T22:16:38Z 2011-08-25T22:16:38Z 2011-08-25T22:16:38Z 2011-08 The entanglement entropy in 1+1 dimensional critical system has been well studied and known to have a universal scaling form that gives information about the underlying critical system. While the case for 1+1 dimensional critical systems has been well studied, the situation in higher dimensional systems is less clear. In this work, I show that the entanglement entropy in a certain class of 2+1 dimensional critical systems, the conformal quantum critical theories, has a universal subleading correction that likewise gives information about the underlying critical system. In addition, I address the issue of whether the dynamical entanglement entropy, the entanglement generated by a local quantum quench, is an experimentally measurable quantity. This turns out not to be the case, but to arrive at this conclusion we studied quenching in a theory of strongly interacting electrons and applied methods of boundary conformal field theory to solve a hitherto open problem: the noise from an instantaneous switching of a quantum point contact separating two fractional quantum Hall fluids. Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2011-06-16T18:45:23Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Hsu_Benjamin.zip: 10681224 bytes, checksum: 774b8dd923f2da873269ae662bb1d43d (MD5) Hsu_Benjamin.pdf: 5973162 bytes, checksum: 4a89c2864996576a941b3166434448f7 (MD5) Made available in DSpace on 2011-08-25T22:16:38Z (GMT). No. of bitstreams: 3 Hsu_Benjamin.pdf: 5973162 bytes, checksum: 4a89c2864996576a941b3166434448f7 (MD5) license.txt: 4059 bytes, checksum: 970046a534ebbe2405a77e20f0d0362a (MD5) Hsu_Benjamin.zip: 10681224 bytes, checksum: 774b8dd923f2da873269ae662bb1d43d (MD5) http://hdl.handle.net/2142/26157 en Copyright 2011 Benjamin Hsu conformal field theory quantum entanglement quantum information theory Lifschitz theory quantum quench quantum Hall The scaling behavior of the entanglement entropy in 2+1 dimensional critical systems Physics 1244 Physics 0240 University of Illinois at Urbana-Champaign Dissertation Ph.D. PHD:Physics -UIUC 10KS0240PHD