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Equation of motion of a driven spin coupled to a bath

Yumei Zhang

Physica A: Statistical Mechanics and its Applications, 1988, vol. 151, issue 2, 349-369

Abstract: The equation of motion of an arbitrarily driven spin linearly coupled to a bosonic bath is derived with the help of path integral techniques. The nonlocal-in-time interaction in the influence function is converted by means of a Hubbard transformation to give rise to a Gaussian random field. The average over this field is performed using a series expansion to obtain the equation of motion in closed form. The weak coupling limit is discussed with an example. A partial summation procedure of the series expansion is applied to a relaxation process.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:151:y:1988:i:2:p:349-369

DOI: 10.1016/0378-4371(88)90021-0

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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