Migration of a quantum particle in the chain with traps: quantum yields of capture

1Zagorodny, AG
1Christophorov, LN
1Bogolyubov Institute for Theoretical Physics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2017, 1:44-51
Section: Physics
Language: Ukrainian
Quantum yields of capture of a particle migrating in a chain with traps are calculated. It is shown that there exist only two types of the dependence of the quantum yield on the trap intensity $\chi$, tending asymptotically to 0 or 1 in the $\chi \rightarrow \infty$ limit. Realization of a certain type is determined by initial conditions of migration.
Keywords: low-dimensional lattices, migration and capture, quantum particle transport, quantum yield
  1. Zagorodny A.G., Christophorov L.N. Reports of the National Academy of Sciences of Ukraine, 2016, 11: 44—51 (in Ukrainian). https://doi.org/10.15407/dopovidi2016.11.044
  2. Christophorov L.N., Kharkyanen V.N. phys. stat. sol. (b), 1983, 116, No 2: 415-425.
  3. G. Li, Govind N., Ratner M.A., Cramer C.J., Gagliardi L. J. Phys. Chem. Lett., 2015, 6, No 24: 4889-4897. https://doi.org/10.1021/acs.jpclett.5b02154
  4. Siebbeles L.D.A., Grozem F.C. (Editors). Charge and exciton transport through molecular wires, Weinheim: Wiley-VCH, 2011.
  5. Davydov A.S. Biology & quantum mechanics. Oxford: Pergamon, 1982.
  6. Van Amerongen H., Valkunas L., Van Grondelle R. Photosynthetic excitons, Singapore: World Scientific, 2000. https://doi.org/10.1142/3609
  7. Hildner R., Brinks D., Nieder J. B., Cogdell R.J., van Hulst N.F. Science, 2013, 340, No 6139: 1448-1451. https://doi.org/10.1126/science.1235820
  8. Liu C., Xiang L., Zhang Y., Zhang P., Beratan D.N., Li Y., Tao N. Nature Chem., 2016, 8, No 10: 941-945. https://doi.org/10.1038/nchem.2545