Del Rio LSchool of Physics, University of Bristol, BS8 1TL Bristol, United Kingdom.
Hutter AInstitute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland.
Renner RInstitute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland.
Wehner SCentre for Quantum Technologies, National University of Singapore, 117543 Singapore.
2016-09-15
Published in:
Physical review. E. - 2016
English
Locally thermal quantum systems may contradict traditional thermodynamics: heat can flow from a cold body to a hotter one, if the two are highly entangled. We show that to recover thermodynamic laws, we must use a stronger notion of thermalization: a system S is thermal relative to a reference R if S is both locally thermal and uncorrelated with R. Considering a general quantum reference is particularly relevant for a thermodynamic treatment of nanoscale quantum systems. We derive a technical condition for relative thermalization in terms of conditional entropies. Established results on local thermalization, which implicitly assume a classical reference, follow as special cases.