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Quantum Simulation

Conservation of Quantum Correlations in Multimode Systems with U(1) Symmetry

arXiv

Authors: Giuseppe Buonaiuto, David M. Whittaker, Emiliano Cancellieri

Year

2017

Paper ID

25346

Status

Preprint

Abstract Read

~2 min

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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.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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We present a theoretical investigation of the properties of quantum correlation functions in a dissipative multimode system.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.00733 [2] arXiv https://arxiv.org/abs/1711.00733 [3] Publisher https://arxiv.org/abs/1711.00733

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