Kibble Zurek mechanism of topological defect formation in quantum field theory with matrix product states
File(s)
Published version
Author(s)
Gillman, Edward
Rajantie, Arttu
Type
Journal Article
Abstract
The Kibble Zurek mechanism in a relativistic ϕ4 scalar field theory in D=(1+1) is studied using uniform matrix product states. The equal time two point function in momentum space G2(k) is approximated as the system is driven through a quantum phase transition at a variety of different quench rates τQ. We focus on looking for signatures of topological defect formation in the system and demonstrate the consistency of the picture that the two point function G2(k) displays two characteristic scales, the defect density n and the kink width dK. Consequently, G2(k) provides a clear signature for the formation of defects and a well defined measure of the defect density in the system. These results provide a benchmark for the use of tensor networks as powerful nonperturbative nonequilibrium methods for relativistic quantum field theory, providing a promising technique for the future study of high energy physics and cosmology.
Date Issued
2018-05-01
Date Acceptance
2018-05-01
Citation
Physical Review D, 2018, 97 (9)
ISSN
2470-0010
Publisher
American Physical Society
Journal / Book Title
Physical Review D
Volume
97
Issue
9
Copyright Statement
© 2018 American Physical Society.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000433026000003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Particles & Fields
Physics
Publication Status
Published
Article Number
094505
Date Publish Online
2018-05-16