Entropy of a Quantum Oscillator coupled to a Heat Bath and implications for Quantum Thermodynamics

Details Entropy of a Quantum Oscillator coupled to a Heat Bath and implications for Quantum Thermodynamics Entropy of a Quantum Oscillator coupled to a Heat Bath and implications for Quantum Thermodynamics

2006-01-15

arxiv.org/abs/quant-ph/0601096v1

Physica E 29, 82 (2005)

Physics

Quantum Physics

International Conference on "Frontiers of Quantum and Mesoscopic Thermodynamics"

Scientific paper

10.1016/j.physe.2005.05.004

The free energy of a quantum oscillator in an arbitrary heat bath at a temperature T is given by a "remarkable formula" which involves only a single integral. This leads to a corresponding simple result for the entropy. The low temperature limit is examined in detail and we obtain explicit results both for the case of an Ohmic heat bath and a radiation heat bath. More general heat bath models are also examined. This enables us to determine the entropy at zero temperature in order to check the third law of thermodynamics in the quantum regime

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