A Trotter-Kato Theorem for Quantum Markov Limits
Mathematical Physics
2015-05-05 v2 Functional Analysis
math.MP
Spectral Theory
Quantum Physics
Abstract
Using the Trotter-Kato theorem we prove the convergence of the unitary dynamics generated by an increasingly singular Hamiltonian in the case of a single field coupling. The limit dynamics is a quantum stochastic evolution of Hudson-Parthasarathy type, and we establish in the process a graph limit convergence of the pre-limit Hamiltonian operators to the Chebotarev-Gregoratti-von Waldenfels Hamiltonian generating the quantum Ito evolution.
Keywords
Cite
@article{arxiv.1409.2260,
title = {A Trotter-Kato Theorem for Quantum Markov Limits},
author = {Luc Bouten and Rolf Gohm and John Gough and Hendra Nurdin},
journal= {arXiv preprint arXiv:1409.2260},
year = {2015}
}
Comments
16 pages, no figures