Spin-spin correlators in the majorana representation |
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Authors: | Shnirman Alexander Makhlin Yuriy |
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Institution: | Institut für Theoretische Festk?rperphysik, Universit?t Karlsruhe, D-76128 Karlsruhe, Germany. |
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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. |
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