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Statistical mechanics from relational complex time with a pure state

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Gemsheim,  Sebastian
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Rost,  Jan M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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2405.06401v1.pdf
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Citation

Gemsheim, S., & Rost, J. M. (2024). Statistical mechanics from relational complex time with a pure state. Physical Review D, 109(12): L121701. doi:10.1103/PhysRevD.109.L121701.


Cite as: https://hdl.handle.net/21.11116/0000-000F-91FE-F
Abstract
Thermodynamics and its quantum counterpart are traditionally described with statistical ensembles. Canonical typicality has related statistical mechanics for a system to ensembles of global energy eigenstates of a system and its environment, analyzing their cardinality. We show that the canonical density for a system emerges from a maximally entangled global state of system and environment through relational complex time evolution between system and environment without the need to maximize the entropy or to count states.