Spin-Spin Correlators in the Majorana Representation
Abstract
In the Majorana representation of a spin 1/2 we find an identity which relates spin-spin correlators to one-particle fermionic correlators. This should be contrasted with the straightforward approach in which two-particle (four-fermion) correlators need to be calculated. We discuss applications to the analysis of the dynamics of a spin coupled to a dissipative environment and of a quantum detector performing a continuous measurement of a qubit's state.
- Publication:
-
Physical Review Letters
- Pub Date:
- November 2003
- DOI:
- 10.1103/PhysRevLett.91.207204
- arXiv:
- arXiv:cond-mat/0305064
- Bibcode:
- 2003PhRvL..91t7204S
- Keywords:
-
- 75.10.Jm;
- 03.65.Yz;
- Quantized spin models;
- Decoherence;
- open systems;
- quantum statistical methods;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- Phys. Rev. Lett. 91, 207204 (2003)