Quantum coherence in a harmonic oscillator coupled to a thermal bath via Lindblad dynamics produces a violation of the Clausius inequality at low temperatures.
Streltsov, Quantum Correlations Beyond Entangle- ment and their Role in Quantum Information Theory , Springer Science & Business Media (2015)
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Clausius inequality versus quantum coherence
Quantum coherence in a harmonic oscillator coupled to a thermal bath via Lindblad dynamics produces a violation of the Clausius inequality at low temperatures.