Abstract
Using a previously derived general formalism for a dissipative quantum particle in a boson bath, we prove that when the damping is Ohmic, the Kubo-Einstein relation between the diffusion constant and the linear mobilityD=kTM holds to all orders in V0 for a periodic potentialV(x)=V 0 cos(k)0 x).
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Chen, Y.C. Kubo-Einstein relation for quantum Brownian motion in a periodic potential. J Stat Phys 65, 761–771 (1991). https://doi.org/10.1007/BF01053753
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DOI: https://doi.org/10.1007/BF01053753