Classical properties of generalized coherent states: from phase-space dynamics to Bell's inequality

Physics – Quantum Physics

Scientific paper

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LaTeX2e, amssymb style, 11 pages, 1 figure. Presented at 2nd Jagna International Workshop ``Mathematical Methods of Quantum Ph

Scientific paper

We review classical properties of harmonic-oscillator coherent states. Then we discuss which of these classical properties are preserved under the group-theoretic generalization of coherent states. We prove that the generalized coherent states of quantum systems with Lie-group symmetries are the unique Bell states, i.e., the pure quantum states preserving the fundamental classical property of satisfying Bell's inequality upon splitting.

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