Geometric Fluctuation Theorem

Abstract

We derive an extended fluctuation theorem for a geometric pumping in a spin-boson system under a periodic control of environmental temperatures by using a Markovian quantum master equation. We perform the Monte-Carlo simulation and obtain the current distribution, the average current and the fluctuation. Using the extended fluctuation theorem we try to explain the results of our simulation. The fluctuation theorem leads to the fluctuation dissipation relations but the absence of the conventional reciprocal relation.

arXiv comment15 pages, 8 figures

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• Shortcuts to Adiabatic Pumping in Classical Stochastic Systems
• Geometric thermodynamic uncertainty relation in periodically driven thermoelectric heat engine
• Geometrical Formulation of Adiabatic Pumping as a Heat Engine
• Geometric phaselike effects in a quantum heat engine
• Full counting statistics and fluctuation-dissipation relation for periodically driven two-state systems
• Thermodynamic Geometry of Nonequilibrium Fluctuations in Cyclically Driven Transport
• Fluctuation Relations For Adiabatic Pumping
• Nonequilibrium fluctuations of a driven quantum heat engine via machine learning
• Collapse and revival structure of information backflow for a central spin coupled to a finite spin bath
• Transport fluctuation relations in interacting quantum pumps
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Demon driven by geometric phase
• Pumping current in a non-Markovian $N$-state model
• Optimal control over the full counting statistics in a non-adiabatic pump