AI Article Synopsis
- The quantum version of the Bochkov-Kuzovlev identity defines work as the difference in internal energies of a quantum system before and after external actions, using an 'exclusive' viewpoint that excludes external work source coupling from internal energy.
- The study derives canonical and microcanonical quantum fluctuation theorems, comparing them with the 'inclusive' approach and highlighting distinct statistics for exclusive work (w(0)) and dissipated work (w(dis)).
- Lastly, it clarifies the relationships between quantum inclusive work (w), exclusive work (w(0)), and dissipated work (w(dis)), illustrating their differences with specific examples.
Article Abstract
The quantum version of the Bochkov-Kuzovlev identity is derived on the basis of the appropriate definition of work as the difference of the measured internal energies of a quantum system at the beginning and the end of an external action on the system given by a prescribed protocol. According to the spirit of the original Bochkov-Kuzovlev approach, we adopt the 'exclusive' viewpoint, meaning that the coupling to the external work source is not counted as part of the internal energy. The corresponding canonical and microcanonical quantum fluctuation theorems are derived as well, and are compared with the respective theorems obtained within the 'inclusive' approach. The relations between the quantum inclusive work w, the exclusive work w(0) and the dissipated work w(dis), are discussed and clarified. We show by an explicit example that w(0) and w(dis) are distinct stochastic quantities obeying different statistics.
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| http://dx.doi.org/10.1098/rsta.2010.0252 | DOI Listing |
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