Dynamical phase transition for a quantum particle source
Mathematical Physics
2015-05-14 v2 Functional Analysis
math.MP
Abstract
We analyze the time evolution describing a quantum source for noninteracting particles, either bosons or fermions. The growth behaviour of the particle number (trace of the density matrix) is investigated, leading to spectral criteria for sublinear or linear growth in the fermionic case, but also establishing the possibility of exponential growth for bosons. We further study the local convergence of the density matrix in the long time limit and prove the semiclassical limit.
Cite
@article{arxiv.0908.2912,
title = {Dynamical phase transition for a quantum particle source},
author = {Maximilian Butz and Herbert Spohn},
journal= {arXiv preprint arXiv:0908.2912},
year = {2015}
}
Comments
24 pages; In the new version, we added several references concerning open quantum systems and present an extended result on linear particle production in the fermionic case