Full statistics of energy conservation in two times measurement protocols

Abstract

The first law of thermodynamics states that the average total energy current between different reservoirs vanishes at large times. In this note we examine this fact at the level of the full statistics of two times measurement protocols also known as the Full Counting Statistics. Under very general conditions, we establish a tight form of the first law asserting that the fluctuations of the total energy current computed from the energy variation distribution are exponentially suppressed in the large time limit. We illustrate this general result using two examples: the Anderson impurity model and a 2D spin lattice model.

5 pages, 1 figure. Accepted for publication in Phys. Rev. E

References in corpus (6)

• Fluctuation theorems: Work is not an observable
• Quantum limit of heat flow across a single electronic channel
• Full counting statistics for the Kondo dot in the unitary limit
• Large deviations in quantum lattice systems: one-phase region
• Full counting statistics of spin transfer through the Kondo dot
• Full counting statistics of spin transfer through ultrasmall quantum dots

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• Control of fluctuations and heavy tails for heat variation in the two-time measurement framework
• Heat conservation and fluctuations between quantum reservoirs in the Two-Time Measurement picture
• Energy exchange and entropy for quasi-free fermionic semigroups