Smoothed generalized free energies for thermodynamics

Remco Van Der Meer, Nelly Huei Ying Ng, Stephanie Wehner

Research output: Contribution to journalArticleScientificpeer-review

16 Citations (Scopus)
22 Downloads (Pure)


In the study of thermodynamics for nanoscale quantum systems, a family of quantities known as generalized free energies have been derived as necessary and sufficient conditions that govern state transitions. These free energies become important especially in the regime where the system of interest consists of only a few (quantum) particles. In this work, we introduce a family of smoothed generalized free energies, by constructing explicit smoothing procedures that maximize or minimize the free energy over an ball of quantum states. In contrast to previously known smoothed free energies, these quantities now allow us to make an operational statement for approximate thermodynamic state transitions. We show that these smoothed quantities converge to the standard free energy in the thermodynamic limit.

Original languageEnglish
Article number062135
Pages (from-to)062135-1 - 062135-18
Number of pages18
JournalPhysical Review A: covering atomic, molecular, and optical physics and quantum information
Issue number6
Publication statusPublished - 2017


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