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Emergence of a second law of thermodynamics in isolated quantum systems

Emergence of a second law of thermodynamics in isolated quantum systems

The second law of thermodynamics states that the entropy of an isolated system can only increase over time. This appears to conflict with the reversible evolution of isolated quantum systems under the Schr\"odinger equation, which preserves the von Neumann entropy. Nonetheless, one finds that with respect to many observables, expectation …