Shot Noise in Double-Quantum dots

[indeterminate]

Hello all,

So I am working on a problem where I need to characterize the shot noise in double quantum dots. My professor suggested to me that we can estimate the tunnel times from shot noise calculations. Can anyone give me any insight into this?

Moreover, can anyone provide me any numerical calculations/code(preferably MATLAB) on shot noise calculation in mesoscopic systems specially quantum dots. I am following this wonderful paper - http://journals.aps.org/prb/pdf/10.1103/PhysRevB.47.1967

But the numerical calculations for calculation zero frequency shot noise seem a bit dubious to me. Specially the derivation of equation A3 in appendix on page 1977. If somebody can provide an insight/relevant papers into this that would be really helpful.

Thank you

 

[eljose79]

for your post and for sharing your research problem with us. As a scientist familiar with quantum dots and shot noise, I can provide some insight into your questions.

Firstly, your professor is correct in suggesting that tunnel times can be estimated from shot noise calculations. Shot noise is a measure of the statistical fluctuations in the current flowing through a system, and it can reveal information about the dynamics of the system. In the case of double quantum dots, the tunneling of electrons between the dots can contribute to shot noise, and by analyzing the shot noise, we can estimate the tunnel times.

In terms of numerical calculations, there are several methods that can be used to calculate shot noise in mesoscopic systems, including quantum master equations and Monte Carlo simulations. In terms of MATLAB code, there are several open-source codes available online that can be used for shot noise calculations in quantum dots, such as the Kwant and QuTiP packages. These packages also have documentation and examples that can help you with your calculations.

Regarding the paper you mentioned, I am familiar with it and I agree that the derivation of equation A3 in the appendix may seem a bit dubious. I would recommend consulting other papers on shot noise in quantum dots, such as "Shot noise in mesoscopic conductors" by Blanter and Büttiker, which provide a more detailed and rigorous derivation of the shot noise formula.

I hope this information helps you with your research. Good luck with your calculations and please feel free to reach out if you have any further questions.