Abstract

A continuum of coupled oscillators is considered, described by a continuous tensor product of Hilbert spaces. The mode position Ux and the mode momentum Up are operators which act collectively on all oscillators. They obey equations of motion which are very similar to those of a harmonic oscillator. Q‐functionals are used to introduce entropic quantities that describe correlations among the oscillators. If the system is in an entangled state, the formalism can be used to quantify concepts like the location of entanglement; and the speed with which the entanglement propagates.

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