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arXiv · 2405.06401

Statistical mechanics from relational complex time with a pure state

Sebastian Gemsheim·Jan M. Rost
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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 eigen- states of 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.

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Sebastian Gemsheim, Jan M. Rost. 2024-05-10. Statistical mechanics from relational complex time with a pure state. https://arxiv.org/abs/2405.06401

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