Quantum noise and entanglement generated by a local quantum quench

Benjamin Hsu, Eytan Grosfeld, Eduardo Fradkin

Research output: Contribution to journalArticlepeer-review

51 Scopus citations

Abstract

We examine the growth of entanglement under a quantum quench at point contacts of simple fractional quantum Hall fluids and its relation with the measurement of local observables. Recently Klich and Levitov proposed that the noise generated from a local quantum quench provides a measure of the entanglement entropy. Their methods were specific to noninteracting electrons and the generalization to interacting systems was left as an open question. In this work, we generalize their result to the Laughlin states. We investigate the noise generated in the current along the edge of a fractional quantum Hall state at filling factors ν=1/m, when a quantum point contact, initially closed, is fully opened at some initial time t0 =0. We find that local quenching in these systems gives time dependent correlation functions that have universal behavior on sufficiently long time and length scales. We calculate the noise and full counting statistics for ν=1/m and find that in general, the entanglement entropy and noise generated are unrelated quantities. We also discuss a generalization of this problem to the critical quantum Ising spin chain.

Original languageEnglish
Article number235412
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume80
Issue number23
DOIs
StatePublished - 9 Dec 2009
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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