Maps for Lorentz transformations of spin

Details Maps for Lorentz transformations of spin Maps for Lorentz transformations of spin

2005-11-08

arxiv.org/abs/quant-ph/0511067v1

Phys.Rev.A73:032104,2006

Physics

Quantum Physics

7 Pages, 3 Figures

Scientific paper

10.1103/PhysRevA.73.032104

Lorentz transformations of spin density matrices for a particle with positive mass and spin 1/2 are described by maps of the kind used in open quantum dynamics. They show how the Lorentz transformations of the spin depend on the momentum. Since the spin and momentum generally are entangled, the maps generally are not completely positive and act in limited domains. States with two momentum values are considered, so the maps are for the spin qubit entangled with the qubit made from the two momentum values, and results from the open quantum dynamics of two coupled qubits can be applied. Inverse maps are used to show that every Lorentz transformation completely removes the spin polarization, and so completely removes the information, from a number of spin density matrices. The size of the spin polarization that is removed is calculated for particular cases.

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