Nondemolition measurements of a single quantum spin using Josephson oscillations

Details Nondemolition measurements of a single quantum spin using Josephson oscillations Nondemolition measurements of a single quantum spin using Josephson oscillations

2003-12-11

arxiv.org/abs/cond-mat/0312274v2

Phys. Rev. Lett. 92, 177001 (2004)

Physics

Condensed Matter

Superconductivity

4 pages, 1 figure; average value of spin z operator changed to eigenvalue S_z

Scientific paper

10.1103/PhysRevLett.92.177001

We consider a Josephson junction containing a single localized spin 1/2 between conventional singlet superconducting electrodes. We study the spin dynamics and measurements when a dc-magnetic field ${\bf B}\parallel z$ acts on the spin and the junction is embedded into a dissipative circuit. We show that when tunneling or a voltage are turned on at time $t=0$ the Josephson current starts to oscillate with an amplitude depending on the initial ($t=0$) value of the spin $z$-component, $S_z= \pm 1/2$. At low temperatures, when effects of quasiparticles may be neglected, this procedure realizes a quantum-non-demolition (QND) measurement of $S_z$.

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