The scaling behavior of the entanglement entropy in 2+1 dimensional critical systems

conformal field theory;quantum entanglement;quantum information theory;Lifschitz theory;quantum quench;quantum Hall

Hsu, Benjamin

关键词: conformal field theory;    quantum entanglement;    quantum information theory;    Lifschitz theory;    quantum quench;    quantum Hall;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/26157/Hsu_Benjamin.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

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.