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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Counting statistics of non-Markovian quantum stochastic processes
Christian Flindt1, Tomás Novotný, Alessandro Braggio
1Laboratory of Physics, Helsinki University of Technology, 02015 HUT, Finland.
Physical Review Letters
|June 4, 2008
Summary
We developed a method to calculate quantum transport properties in non-Markovian systems. This approach reveals how dissipation affects current cumulants and noise in quantum dots.
Area of Science:
- Quantum physics
- Condensed matter physics
- Transport phenomena
Background:
- Non-Markovian quantum systems exhibit complex dynamics.
- Understanding quantum transport is crucial for quantum technologies.
Purpose of the Study:
- Derive a general expression for the cumulant generating function (CGF) of non-Markovian quantum stochastic transport.
- Analyze the impact of dissipation on quantum transport properties.
Main Methods:
- Developed a general expression for the CGF.
- Utilized the resolvent of the memory kernel to determine long-time limits.
- Employed a recursive scheme to extract zero-frequency cumulants.
- Investigated electron transport in a dissipative double quantum dot model.
Main Results:
- Identified a dominating pole of the resolvent determining the long-time CGF.
- Expressed finite-frequency noise in terms of the resolvent and initial correlations.
- Quantified the effects of dissipation on high-order zero-frequency cumulants.
- Analyzed the influence of dissipation on finite-frequency noise.
Conclusions:
- The derived CGF provides a powerful tool for studying non-Markovian quantum transport.
- Dissipation significantly alters both static and dynamic properties of quantum transport.
- The findings are applicable to various quantum devices, including quantum dots.
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