Decoherence of Histories and Hydrodynamic Equations for a Linear Oscillator Chain

J.J.Halliwell

Decoherence of Histories and Hydrodynamic Equations for a Linear Oscillator Chain

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arxiv quant-ph/0305084 v1 pith:VSEJROAU submitted 2003-05-15 quant-ph

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We investigate the decoherence of histories of local densities for linear oscillators models. It is shown that histories of local number, momentum and energy density are approximately decoherent, when coarse-grained over sufficiently large volumes. Decoherence arises directly from the proximity of these variables to exactly conserved quantities (which are exactly decoherent), and not from environmentally-induced decoherence. We discuss the approach to local equilibrium and the subsequent emergence of hydrodynamic equations for the local densities.

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