| Title: |
Doussal, Time evolution of 1D gapless models from a domain-wall initial state: SLE continued |
| Authors: |
Pasquale Calabrese; Christian Hagendorf; Pierre Le Doussal |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Source: |
http://arxiv.org/pdf/0804.2431v1.pdf. |
| Publication Year: |
2008 |
| Collection: |
CiteSeerX |
| Description: |
We study the time evolution of quantum one-dimensional gapless systems evolving from initial states with a domain-wall. We generalize the path-integral imaginary time approach that together with boundary conformal field theory allows to derive the time and space dependence of general correlation functions. The latter are explicitly obtained for the Ising universality class, and the typical behavior of one- and two-point functions is derived for the general case. Possible connections with the stochastic Loewner evolution are discussed and explicit results for one-point time dependent averages are obtained for generic κ for boundary conditions corresponding to SLE. We use this set of results to predict the time evolution of the entanglement entropy and obtain the universal constant shift due to the presence of a domain wall in the initial state. Time evolution of 1D gapless models 2 1. |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.312.4650; http://arxiv.org/pdf/0804.2431v1.pdf |
| Availability: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.312.4650; http://arxiv.org/pdf/0804.2431v1.pdf |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.3CEC5A1A |
| Database: |
BASE |