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Updated: Jun 3, 2026
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Supersymmetry and fluctuation relations for currents in closed networks
Nikolai A Sinitsyn1, Alexei Akimov, Vladimir Y Chernyak
1Theoretical Division, Los Alamos National Laboratory, B258, Los Alamos, New Mexico 87545, USA.
Summary
We reveal supersymmetry in particle current statistics, enabling exact, nonperturbative calculations for fast-changing systems. This discovery offers new ways to analyze complex quantum dynamics.
Area of Science:
- Quantum mechanics
- Statistical physics
Background:
- Stochastic particle currents are fundamental in various physical systems.
- Understanding their statistical properties is crucial for characterizing complex dynamics.
Purpose of the Study:
- To demonstrate supersymmetry in the counting statistics of stochastic particle currents.
- To derive exact nonperturbative relations for current statistics under time-dependent protocols.
Main Methods:
- Application of supersymmetry to analyze counting statistics.
- Derivation of nonperturbative relations for current statistics.
Main Results:
- Supersymmetry is shown to be a key feature of stochastic particle current statistics.
- Exact nonperturbative relations are derived for currents under fast time-dependent protocols.
Conclusions:
- Supersymmetry provides a powerful tool for analyzing quantum transport phenomena.
- The derived relations offer new theoretical insights into non-equilibrium statistical mechanics.
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