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Conservation of Quantum Correlations in Multimode Systems with U(1) Symmetry
G Buonaiuto1, D M Whittaker1, E Cancellieri1,2
1Department of Physics and Astronomy, University of Sheffield, Sheffield S3 7RH, United Kingdom.
Abstract:
We present a theoretical investigation of the properties of quantum correlation functions in a 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. It is also conserved in the presence of dissipation, provided the loss rate is the same for all modes of the system. As examples, we demonstrate this conservation using numerical simulations of a coupled cavity system and the Jaynes-Cummings model.
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