Stochastic Independence as a Resource in Small-Scale Thermodynamics.

@article{Lostaglio2015StochasticIA,
  title={Stochastic Independence as a Resource in Small-Scale Thermodynamics.},
  author={Matteo Lostaglio and Markus P. M{\"u}ller and Michele Pastena},
  journal={Physical review letters},
  year={2015},
  volume={115 15},
  pages={
          150402
        }
}
It is well known in thermodynamics that the creation of correlations costs work. It seems then a truism that if a thermodynamic transformation A→B is impossible, so will be any transformation that in sending A to B also correlates among them some auxiliary systems C. Surprisingly, we show that this is not the case for nonequilibrium thermodynamics of microscopic systems. On the contrary, the creation of correlations greatly extends the set of accessible states, to the point that we can perform… 
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References

SHOWING 1-10 OF 56 REFERENCES
The resource theory of informational nonequilibrium in thermodynamics
The second laws of quantum thermodynamics
TLDR
Here, it is found that for processes which are approximately cyclic, the second law for microscopic systems takes on a different form compared to the macroscopic scale, imposing not just one constraint on state transformations, but an entire family of constraints.
The entropy concept for non-equilibrium states
  • E. Lieb, J. Yngvason
  • Physics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2013
TLDR
The conclusion is that it is generally not possible to find a unique entropy that has all relevant physical properties, but it is shown that one can define two entropy functions, called S− and S+, which, taken together, delimit the range of adiabatic processes that can occur between non-equilibrium states.
Resource theory of quantum states out of thermal equilibrium.
TLDR
It is shown that the free energy of thermodynamics emerges naturally from the resource theory of energy-preserving transformations, provided that a sublinear amount of coherent superposition over energy levels is available, a situation analogous to the sub linear amount of classical communication required for entanglement dilution.
The work value of information
TLDR
This work derives strikingly simple expressions for the extractable work in the extreme cases of effectively zero- and arbitrary risk tolerance respectively, thereby enveloping all cases and making a connection between heat engines and the smooth entropy approach.
The physics and mathematics of the second law of thermodynamics
Work extraction and thermodynamics for individual quantum systems.
TLDR
It is proved that the second law of thermodynamics holds in this framework, and a simple protocol is given to extract the optimal amount of work from the system, equal to its change in free energy.
Fundamental limitations for quantum and nanoscale thermodynamics.
TLDR
It is found that there are fundamental limitations on work extraction from non-equilibrium states, owing to finite size effects and quantum coherences, which implies that thermodynamical transitions are generically irreversible at this scale.
Limits to catalysis in quantum thermodynamics
Quantum thermodynamics is a research field that aims at fleshing out the ultimate limits of thermodynamic processes in the deep quantum regime. A complete picture of thermodynamical processes…
Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
TLDR
It is shown that free energy relations cannot properly describe quantum coherence in thermodynamic processes, and it is found that coherence transformations are always irreversible.
...
...