## Dark states in quantum photosynthesis.(English)Zbl 1404.92019

Mondaini, Rubem P. (ed.), Trends in biomathematics: modeling, optimization and computational problems. Selected works from the 17th BIOMAT consortium lectures, Moscow, Russia, October 30 – November 3, 2017. Cham: Springer; Rio de Janeiro: BIOMAT Consortium, International Institute for Interdisciplinary Sciences (ISBN 978-3-319-91091-8/hbk; 978-3-319-91092-5/ebook). 13-26 (2018).
Summary: A dynamics of quantum thermodynamic machine given by open three level quantum system is considered. The system interacts with nonequilibrium environment described by three quantum fields in temperature states with different temperatures (one of the fields can also contain coherent component). One of the energy levels of the system is degenerate, this level interacts with two quantum fields in different ways (interactions are described by non-parallel “bright” vectors). We show that in this system the non-decaying so-called “dark” states are generated, this can be considered as effect of “leakage” in quantum thermodynamic machine. We discuss manipulations for these states using quantum dissipative dynamics. Possible application of this model to quantum photosynthesis is discussed.
For the entire collection see [Zbl 1401.92005].

### MSC:

 92C05 Biophysics 92C40 Biochemistry, molecular biology 81V80 Quantum optics
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### References:

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