Conservation of Quantum Correlations in Multimode Systems with $U(1)$ Symmetry
Quantum Physics
2019-02-25 v2 Statistical Mechanics
Abstract
We present a theoretical investigation of the properties of quantum correlation functions in a dissipative multimode system. We define a total mth order equal-time correlation function, summed over all modes, which is shown to be conserved if the Hamiltonian possesses U(1) symmetry, provided any dissipation processes are linear in the system operators. As examples, we demonstrate this conservation using numerical simulations of a coupled cavity system and the Jaynes-Cummings model.
Keywords
Cite
@article{arxiv.1711.00733,
title = {Conservation of Quantum Correlations in Multimode Systems with $U(1)$ Symmetry},
author = {Giuseppe Buonaiuto and David M. Whittaker and Emiliano Cancellieri},
journal= {arXiv preprint arXiv:1711.00733},
year = {2019}
}
Comments
5 pages, 2 figures