Non-Markovian effects in the Quantum noise of interacting nanostructures

Details Non-Markovian effects in the Quantum noise of interacting nanostructures Non-Markovian effects in the Quantum noise of interacting nanostructures

2010-06-29

arxiv.org/abs/1006.5586v2

Phys. Rev. B 83, 125426 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 Pages, 7 Figures. Published version

Scientific paper

10.1103/PhysRevB.83.125426

We present a theory of finite-frequency noise in non-equilibrium conductors. It is shown that Non-Markovian correlations are essential to describe the physics of quantum noise. In particular, we show the importance of a correct treatment of the initial system-bath correlations, and how these can be calculated using the formalism of quantum master equations. Our method is particularly important in interacting systems, and when the measured frequencies are larger that the temperature and applied voltage. In this regime, quantum-noise steps are expected in the power spectrum due to vacuum fluctuations. This is illustrated in the current noise spectrum of single resonant level model and of a double quantum dot --charge qubit-- attached to electronic reservoirs. Furthermore, the method allows for the calculation of the single-time counting statistics in quantum dots, measured in recent experiments.

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