Quantization over boson operator spaces
Quantum Physics
2010-07-20 v1 Mathematical Physics
math.MP
Abstract
The framework of third quantization - canonical quantization in the Liouville space - is developed for open many-body bosonic systems. We show how to diagonalize the quantum Liouvillean for an arbitrary quadratic n-boson Hamiltonian with arbitrary linear Lindblad couplings to the baths and, as an example, explicitly work out a general case of a single boson.
Cite
@article{arxiv.1007.2921,
title = {Quantization over boson operator spaces},
author = {Tomaz Prosen and Thomas H. Seligman},
journal= {arXiv preprint arXiv:1007.2921},
year = {2010}
}
Comments
9 pages, no figures