Qubits as devices to detect the third moment of current fluctuations

Details Qubits as devices to detect the third moment of current fluctuations Qubits as devices to detect the third moment of current fluctuations

2006-03-31

arxiv.org/abs/cond-mat/0603844v2

Phys. Rev. B 74, 024524 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 7 figures

Scientific paper

10.1103/PhysRevB.74.024524

Under appropriate conditions controllable two-level systems can be used to detect the third moment of current fluctuations. We derive a Master Equation for a quantum system coupled to a bath valid to the third order in the coupling between the system and the environment. In this approximation the reduced dynamics of the quantum system depends on the frequency dependent third moment. Specializing to the case of a controllable two-level system (a qubit) and in the limit in which the splitting between the levels is much smaller than the characteristic frequency of the third moment, it is possible to show that the decay of the qubit has additional oscillations whose amplitude is directly proportional to the value of the third moment. We discuss an experimental setup where this effect can be seen.

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