Statistical mechanics from relational complex time with a pure state

• URL: http://arxiv.org/abs/2405.06401v1
• Date: Fri, 10 May 2024 11:26:05 GMT
• Title: Statistical mechanics from relational complex time with a pure state
• Authors: Sebastian Gemsheim, Jan M. Rost,
• Abstract summary: Canonical typicality has related statistical mechanics for a system to ensembles of global energy eigen- states of system and its environment. We show that the canonical density for a system emerges from a maximally entangled global state of system and environment.
• Score: 0.4143603294943439
• License: http://creativecommons.org/licenses/by/4.0/
• 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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