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Thermodynamic state variables from a minimal set of quantum constituents
Uwe Holm, Hans-Peter Weber, Morgan Berkane, Camilla Wulf, Anton Kantz, Anja Kuhnhold, Andreas Buchleitner·February 3, 2026
Quantum Physics
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Abstract
We show how the macroscopic state variables pressure, entropy and temperature of equilibrium thermodynamics can be consistently derived from the (quantum) chaotic spectral structure of one or two particles in two-dimensional domains. This provides a definition of work and heat from first principles, a microscopic underpinning of the first and second law of thermodynamics, and a transparent illustration of the ``eigenstate thermalization hypothesis''.