A geometric proof of the equality between entanglement and edge spectra

Details A geometric proof of the equality between entanglement and edge spectra A geometric proof of the equality between entanglement and edge spectra

2011-09-06

arxiv.org/abs/1109.1283v1

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 3 figures

Scientific paper

The bulk-edge correspondence for topological quantum liquids states that the spectrum of the reduced density matrix of a large subregion reproduces the thermal spectrum of a physical edge. This correspondence suggests an intricate connection between ground state entanglement and physical edge dynamics. We give a simple geometric proof of the bulk-edge correspondence for a wide variety of physical systems. Our unified proof relies on geometric techniques available in Lorentz invariant and conformally invariant quantum field theories. These methods were originally developed in part to understand the physics of black holes, and we now apply them to determine the local structure of entanglement in quantum many-body systems.

Affiliated with

Also associated with

No associations

Rating

A geometric proof of the equality between entanglement and edge spectra 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 A geometric proof of the equality between entanglement and edge spectra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A geometric proof of the equality between entanglement and edge spectra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-305080