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Giraud O, Braun D, Baguette D, et al. Tensor representation of spin States. Phys Rev Lett. 2015;114(8):080401doi: 10.1103/PhysRevLett.114.080401.
Giraud, O., Braun, D., Baguette, D., Bastin, T., & Martin, J. (2015). Tensor representation of spin States. Physical review letters, 114(8), 080401. https://doi.org/10.1103/PhysRevLett.114.080401
Giraud, O, et al. "Tensor representation of spin States." Physical review letters vol. 114,8 (2015): 080401. doi: https://doi.org/10.1103/PhysRevLett.114.080401
Giraud O, Braun D, Baguette D, Bastin T, Martin J. Tensor representation of spin States. Phys Rev Lett. 2015 Feb 27;114(8):080401. doi: 10.1103/PhysRevLett.114.080401. Epub 2015 Feb 25. PMID: 25768738.
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Phys Rev Lett. 2015 Feb 27;114(8):080401. doi: 10.1103/PhysRevLett.114.080401. Epub 2015 Feb 25.

Tensor representation of spin States.

Physical review letters

O Giraud, D Braun, D Baguette, T Bastin, J Martin

Affiliations

  1. LPTMS, CNRS and Université Paris-Sud, UMR 8626, Bâtiment 100, 91405 Orsay, France.
  2. Institut für theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany.
  3. Institut de Physique Nucléaire, Atomique et de Spectroscopie, Université de Liège, 4000 Liège, Belgium.

PMID: 25768738 DOI: 10.1103/PhysRevLett.114.080401

Abstract

We propose a generalization of the Bloch sphere representation for arbitrary spin states. It provides a compact and elegant representation of spin density matrices in terms of tensors that share the most important properties of Bloch vectors. Our representation, based on covariant matrices introduced by Weinberg in the context of quantum field theory, allows for a simple parametrization of coherent spin states, and a straightforward transformation of density matrices under local unitary and partial tracing operations. It enables us to provide a criterion for anticoherence, relevant in a broader context such as quantum polarization of light.

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