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arXiv · 1109.3067

Gauge field and geometric control of quantum-thermodynamic engine

Sumiyoshi Abe
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Abstract

The problem of extracting the work from a quantum-thermodynamic system driven by slowly varying external parameters is discussed. It is shown that there naturally emerges a gauge-theoretic structure. The field strength identically vanishes if the system is in an equilibrium state, i.e., the nonvanishing field strength implies that the system is in a nonequilibrium quasi-stationary state. The work done through a cyclic process in the parameter space is given in terms of the flux of the field. This general formalism is applied to an example of a single spin in a varying magnetic field, and the maximum power output is discussed in a given finite-time cyclic process.

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Sumiyoshi Abe. 2011-09-14. Gauge field and geometric control of quantum-thermodynamic engine. https://doi.org/10.1088/1742-5468%2F2011%2F09%2Fp09011

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