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THE VON NEUMANN ENTROPY OF EPR SPIN CORRELATION FOR THE RELATIVISTIC PAIRS

YOSHIHISA NISHIKAWA

Department of Physics, Konan University, 8-9-1 Okamoto, Kobe 658-8501, Japan

https://doi.org/10.1142/S0217751X08041372Cited by:4 (Source: Crossref)

Abstract

Variation of the von Neumann entropy by the Lorentz transformation is discussed. Taking the spin-singlet state in the center-of-mass frame, the von Neumann entropy in the laboratory frame is calculated from the reduced density matrix obtained by taking the trace over 4-momentum after the Lorentz transformation. As the model to discuss the EPR spin correlation, it is supposed that one parent particle splits into a superposition state of various pair states in various directions. Computing the von Neumann entropy and the Shannon entropy, we have shown a global behavior of the entropy to see a relativistic effect. We discuss also the superrelativistic limit, distinguishability between the two particles of the pair and so on.

Keywords:

PACS: 11.25.Hf, 123.1K

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