Abstract
An exactly soluble model of a linear oscillator undergoing damping or amplification under the influence of a heat bath is discussed from the point of view of measurement theory. In the limit of overdamping the oscillator displacement becomes a quasi quantum nondemolition variable measured by the bath.
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A special case of (9) was discussed in (1)
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A closer inspection of the exact solution for σyy(t) reveals that the collapse of the off-diagonal elements at high temperatures is thermally enhanced to a time span of roughly h J+ −/kT+. The relaxation of σQQ, on the other hand, does not enjoy such enhancement. The effect is similar to the thermally enhanced damping of macroscopic quantum coherence discussed by Caldeiro and Leggett in ref. [23].
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Haake, F., Walls, D.F. (1986). Overdamping and Quasi Quantum Nondemolition Measurements. In: Harvey, J.D., Walls, D.F. (eds) Quantum Optics IV. Springer Proceedings in Physics, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71407-8_19
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DOI: https://doi.org/10.1007/978-3-642-71407-8_19
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