The foundations of statistical mechanics from entanglement: Individual states vs. averages

Details The foundations of statistical mechanics from entanglement: Individual states vs. averages The foundations of statistical mechanics from entanglement: Individual states vs. averages

2005-11-23

arxiv.org/abs/quant-ph/0511225v3

Physics

Quantum Physics

12 pages, v3 title changed, v2 minor changes

Scientific paper

We consider an alternative approach to the foundations of statistical mechanics, in which subjective randomness, ensemble-averaging or time-averaging are not required. Instead, the universe (i.e. the system together with a sufficiently large environment) is in a quantum pure state subject to a global constraint, and thermalisation results from entanglement between system and environment. We formulate and prove a "General Canonical Principle", which states that the system will be thermalised for almost all pure states of the universe, and provide rigorous quantitative bounds using Levy's Lemma.

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