Truncated Wigner approximation as a non-positive Kraus map
Quantum Physics
2021-08-10 v1
Abstract
We show that the Truncated Wigner Approximation developed in the flat phase-space is mapped into a Lindblad-type evolution with an indefinite metric in the space of linear operators. As a result, the classically evolved Wigner function corresponds to a non-positive operator , which does not describe a physical state. The rate of appearance of negative eigenvalues of can be efficiently estimated. The short-time dynamics of the Kerr and second harmonic generation Hamiltonains are discussed.
Cite
@article{arxiv.2108.04189,
title = {Truncated Wigner approximation as a non-positive Kraus map},
author = {A. B. Klimov and I. Sainz and J. L. Romero},
journal= {arXiv preprint arXiv:2108.04189},
year = {2021}
}