Gauge field and geometric control of quantum-thermodynamic engine

Details Gauge field and geometric control of quantum-thermodynamic engine Gauge field and geometric control of quantum-thermodynamic engine

2011-09-14

arxiv.org/abs/1109.3067v1

Journal of Statistical Mechanics (2011) P09011

Physics

Condensed Matter

Statistical Mechanics

15 pages, 3 figures

Scientific paper

10.1088/1742-5468/2011/09/P09011

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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