Limitations of statistical mechanics for quantum thermodynamics.

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How should we describe the thermodynamics of extreme quantum regimes, where features such as coherence and entanglement dominate?

I will discuss possible limitations of a traditional statistical mechanics approach, and then describe work that applies modern techniques from the theory of quantum information to the foundations of thermodynamics. In particular I discuss recent progress in quantum resource theories and argue that to properly encapsulate the thermodynamic structure of quantum coherence and entanglement we must make use of concepts beyond free energies.