Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension
Name
PhysRevLett.114.151602.pdf
Size
259.99 KB
Format
Adobe PDF
Checksum (MD5)
8a09885ac8f4bdcb01ac417ffc5c81d1
Author(s)
Maghrebi, Mohammad F.
Reid, M. T. Homer
Date Issued
April 2015
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Maghrebi, M. F., and M. T. H. Reid. “Entanglement Entropy of Dispersive Media from Thermodynamic Entropy in One Higher Dimension.” Physical Review Letters 114, no. 15 (April 2015). © 2015 American Physical Society
Version
Final published version
Abstract
A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown that the mutual information in D dimensions can be mapped to classical thermodynamic entropy in D + 1 dimensions. As a specific example, we compute the mutual information both analytically and numerically for a range of separation distances between two bodies in D = 2 dimensions and find a logarithmic correction to the area law at short separations. A key advantage of our method is that it allows the strong subadditivity property to be easily verified.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.114.151602
