Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?

Details Time evolution of 1D gapless models from a domain-wall initial state: SLE continued? Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?

2008-04-15

arxiv.org/abs/0804.2431v1

J. Stat. Mech. (2008) P07013

Physics

Condensed Matter

Statistical Mechanics

27 pages, 10 figures

Scientific paper

10.1088/1742-5468/2008/07/P07013

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 \kappa 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.

Affiliated with

Also associated with

No associations

Rating

Time evolution of 1D gapless models from a domain-wall initial state: SLE continued? 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 Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time evolution of 1D gapless models from a domain-wall initial state: SLE continued? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-653890