Expected Behavior of Quantum Thermodynamic Machines with Prior Information

Details Expected Behavior of Quantum Thermodynamic Machines with Prior Information Expected Behavior of Quantum Thermodynamic Machines with Prior Information

2011-07-17

arxiv.org/abs/1107.3304v2

Physics

Quantum Physics

Revtex, 13 pages, 3 figures, revised version, new results added, accepted for Phys. Rev. E

Scientific paper

We estimate the expected behavior of a quantum model of heat engine when we have incomplete information about external macroscopic parameters, like magnetic field controlling the intrinsic energy scales of the working medium. We explicitly derive the prior probability distribution for these unknown parameters, $a_i, (i=1,2)$. Based on a few simple assumptions, the prior is found to be of the form $\Pi(a_i) \propto 1/a_i$. By calculating the expected values of various physical quantities related to this engine, we find that the expected behavior of the quantum model exhibits thermodynamic-like features. This leads us to a surprising proposal that incomplete information quantified as appropriate prior distribution can lead us to expect classical thermodynamic behavior in quantum models.

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