A perspective on Lindblad's Non-Equilibrium Entropy

Abstract

Göran Lindblad in 1983 published a monograph on non-equilibrium thermodynamics. We here summarize the contents of this book, and provide a perspective on its relation to later developments in statistical physics and quantum physics. We high-light two aspects. The first is the idea that while all unitaries can be allowed in principle, different theories result from limiting which unitary evolutions are realized in the real world. The second is that Lindblad's proposal for thermodynamic entropy (as opposed to information-theoretic entropy) foreshadows much more recent investigations into optimal quantum transport which is a current research focus in several fields.

arXiv comment32 pages, one figure. Invited contribution to the Lindblad memorial volume, to be published in Open Systems and Information Dynamics (2023)

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