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Phys. Rev. A 68, 044101 (2003) [3 pages]

Galilean covariance of a reduced density matrix

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Paweł Caban*, Kordian A. Smoliński, and Zbigniew Walczak
Department of Theoretical Physics, University of Łódź, Pomorska 149/153, 90-236 Łódź, Poland

Received 15 July 2003; published 21 October 2003

We consider a system of two spin-s particles. We show that the reduced density matrix of this system obtained by tracing out over momentum is invariant under Galilean boosts and translations, and covariant under rotations. It implies that the spin entanglement of the system is the same for all Galilean observers.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.044101
DOI:
10.1103/PhysRevA.68.044101
PACS:
03.65.Ud, 03.67.-a

*Electronic address: P.Caban@merlin.fic.uni.lodz.pl

Electronic address: K.A.Smolinski@merlin.fic.uni.lodz.pl

Electronic address: Z.Walczak@merlin.fic.uni.lodz.pl