Unusual decoherence in qubit measurements with a Bose-Einstein condensate

Details Unusual decoherence in qubit measurements with a Bose-Einstein condensate Unusual decoherence in qubit measurements with a Bose-Einstein condensate

2008-07-28

arxiv.org/abs/0807.4440v2

Physics

Quantum Physics

5 pages, additional explanations related to experimental realization are added, typos corrected, Phys. Rev. A, in press

Scientific paper

10.1103/PhysRevA.79.032106

We consider an electrostatic qubit located near a Bose-Einstein condensate (BEC) of noninteracting bosons in a double-well potential, which is used for qubit measurements. Tracing out the BEC variables we obtain a simple analytical expression for the qubit's density-matrix. The qubit's evolution exhibits a slow ($\propto1/\sqrt{t}$) damping of the qubit's coherence term, which however turns to be a Gaussian one in the case of static qubit. This stays in contrast to the exponential damping produced by most classical detectors. The decoherence is, in general, incomplete and strongly depends on the initial state of the qubit.

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