  Recently, it has been suggested that ion channel selectivity filter may
exhibit quantum coherence, which may be appropriate to explain ion selection
and conduction processes. Potassium channels play a vital role in many
physiological processes. One of their main physiological functions is the
efficient and highly selective transfer of K+ ions through the membranes into
the cells. To do this, ion channels must be highly selective, allowing only
certain ions to pass through the membrane, while preventing the others. The
present research is an attempt to investigate the relationship between hopping
rate and maintaining coherence in ion channels. Using the Lindblad equation to
describe a three-level system, the results in different quantum regimes are
examined. We studied the distillable coherence and the second order coherence
function of the system. The oscillation of distillable coherence from zero,
after the decoherence time, and also the behavior of the coherence function
clearly show the point that the system is coherent in ion channels with high
throughput rates.
