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

1998/05/02 by Constantin Brif, C. Brif, Brif, C. +4
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Mechanical and Optical Resonators #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9805007

LaTeX2e, amssymb style, 11 pages, 1 figure. Presented at 2nd Jagna International Workshop ``Mathematical Methods of Quantum Physics'', January 1998, Jagna, Philippines. To be published in a Festschrift for Professor Hiroshi Ezawa (Gordon & Breach, London)

arxiv created 1998/05/02 · arxiv updated 2009/12/01

Abstract

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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