Particle current statistics in driven mesoscale conductors
- URL: http://arxiv.org/abs/2211.13832v2
- Date: Tue, 22 Aug 2023 18:32:58 GMT
- Title: Particle current statistics in driven mesoscale conductors
- Abstract summary: We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors.
The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic light-matter interactions.
- Score: 0.8081564951955755
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose a highly-scalable method to compute the statistics of charge
transfer in driven conductors. The framework can be applied in situations of
non-zero temperature, strong coupling to terminals and in the presence of
non-periodic light-matter interactions, away from equilibrium. The approach
combines the so-called mesoscopic leads formalism with full counting
statistics. It results in a generalised quantum master equation that dictates
the dynamics of current fluctuations and higher order moments of the
probability distribution function of charge exchange. For generic
time-dependent quadratic Hamiltonians, we provide closed-form expressions for
computing noise in the non-perturbative regime of the parameters of the system,
reservoir or system-reservoir interactions. Having access to the full dynamics
of the current and its noise, the method allows us to compute the variance of
charge transfer over time in non-equilibrium configurations. The dynamics
reveal that in driven systems, the average noise should be defined
operationally with care over which period of time is covered.
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