title: Stochastic Independence as a Resource in Small-Scale Thermodynamics.
abstract: 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 on individual systems and in a single shot any transformation that would otherwise be possible only if the number of systems involved was very large. We also show that one only ever needs to create a vanishingly small amount of correlations (as measured by mutual information) among a small number of auxiliary systems (never more than three). The many, severe constraints of microscopic thermodynamics are reduced to the sole requirement that the nonequilibrium free energy decreases in the transformation. This shows that, in principle, reliable extraction of work equal to the free energy of a system can be performed by microscopic engines.
authors.affiliation: Department of Physics, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Matteo
authors.initials: M
authors.lastname: Lostaglio
authors.affiliation: Department of Applied Mathematics, Department of Philosophy, University of Western Ontario, London, Ontario N6A 5BY, Canada.|Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.|Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-69120 Heidelberg, Germany.
authors.forename: Markus P
authors.initials: MP
authors.lastname: Müller
authors.affiliation: Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-69120 Heidelberg, Germany.
authors.forename: Michele
authors.initials: M
authors.lastname: Pastena