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- W4300483983 abstract "We consider a finite dimensional quantum system $S$ in an arbitrary initial state coupled to an infinitely extended quantum thermal reservoir $R$ in equilibrium at inverse temperature $beta$. The coupling is given by a bounded perturbation of the dynamics and the coupling strength is controlled by a parameter $lambda$. We assume the system $S + R$ has the property of return to equilibrium, which means that after sufficiently long time, the joint system will have reached equilibrium at inverse temperature $beta$. In this context, we prove a refinement to the first law of thermodynamics, which states that the total energy of the system and reservoir is conserved. Specifically, we define two measures which encode all the information about the fluctuations of the system and reservoir energy when two measurements are made at time $0$ and time $t$. These measures are called the full counting statistics (FCS). We prove weak convergence of the system and reservoir FCS in the double limit $t rightarrow infty$ and $lambda rightarrow 0$." @default.
- W4300483983 created "2022-10-03" @default.
- W4300483983 creator A5054391500 @default.
- W4300483983 date "2021-10-04" @default.
- W4300483983 modified "2023-09-26" @default.
- W4300483983 title "Energy Full Counting Statistics and Return to Equilibrium" @default.
- W4300483983 doi "https://doi.org/10.48550/arxiv.2110.01678" @default.
- W4300483983 hasPublicationYear "2021" @default.
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