Abstract
The quantum dynamics of entanglement is widely revealed in photosynthetic light-harvesting complexes. Different from the previous work, we explore the properties of exciton transport and photosynthesis assisted by the quantum entanglement in two adjacent pigment molecules, which are measured by the population dynamics behaviors, the j-V characteristics and by the output power via a photosynthetic quantum heat engine model. A more robust exciton transport dynamic behavior is compared with those without quantum entanglement, and the photosynthetic characteristics evaluated by the output current and power were proved to be enhanced by the quantum entanglement at different ambient temperatures. These results may point toward the possibility for artificial photosynthetic nanostructures inspired by this quantum biological systems.
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References
G. Vidal, R.F. Werner, Computable measure of entanglement. Phys. Rev. A 65(3), 032314 (2002)
A.K. Pati, Entanglement in non-hermitian quantum theory. Pramana 73(3), 485 (2009)
B. Nayak, N. Ghosh, A.S. Majumdar, Environment induced entanglement in cavity-qed. Indian J. Phys. 84(8), 1039 (2010)
A. Tamulis, M. Grigalavicius, Quantum entanglement in photoactive prebiotic systems. Syst. Synth. Biol. 8(2), 117 (2014)
R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Quantum entanglement. Rev. Mod. Phys. 81, 865 (2009)
C. Kokail, R. van Bijnen, A. Elben, B. Vermersch, P. Zoller, Entanglement hamiltonian tomography in quantum simulation. Nat. Phys. (2021). https://doi.org/10.1038/s41567-021-01260-w
A.B.M. Thorwart, B.J. Eckel, C.J.H. Reina, A.P. Nalbach, B.D.S. Weiss, Enhanced quantum entanglement in the non-markovian dynamics of biomolecular excitons. Chem. Phys. Lett. 478(4), 234 (2009)
L. Quiroga, F.J. Rodrguez, M.E. Ramrez, R. Pars, Nonequilibrium thermal entanglement. Phys. Rev. A 75(3), 723 (2012)
Y.C. Lin, P.Y. Yang, W.M. Zhang, Non-equilibrium quantum phase transition via entanglement decoherence dynamics. Sci. Rep. 6, 34804 (2016)
A. Dey, D.S. Bhakuni, B.K. Agarwalla, A. Sharma, Quantum entanglement and transport in a non-equilibrium interacting double-dot system: The curious role of degeneracy. J. Phys. Condens. Matter 32(7), 075603 (2019)
V. Vedral, Quantifying entanglement in macroscopic systems. Nature 453(7198), 1004 (2008)
M. Pant, H. Krovi, D. Towsley, L. Tassiulas, B.P. Jiang, L.D. Englund, S. Guha, Routing entanglement in the quantum internet. NPJ Quantum Inf. 5(25), 1–9 (2019)
D. Paneru, E. Cohen, R. Fickler, R.W. Boyd, E. Karimi, Entanglement: quantum or classical? Rep. Progress Phys. 83(6), 064001 (2020)
J. Sperling, A. Perez-Leija, K. Busch, C. Silberhorn, Mode-independent quantum entanglement for light. Phys. Rev. A 100(10), 062129 (2019)
Y. Wang, Entanglement in quantum process algebra. Int. J. Theor. Phys. 58, 3611 (2019)
S. Giacomo, N.S. Vyacheslav, S.R. Filippus, B. Andreas, Entanglement of truncated quantum states. Quantum Sci. Technol. 5(3), 035012 (2020)
K.K. Sharma, V.P. Gerdt, Quantum information scrambling and entanglement in bipartite quantum states. Quantum Inf. Process. 20, 1573 (2021)
J. Cai, S.H. Popescu, J. Briegel, Dynamic entanglement in oscillating molecules and potential biological implications. Phys. Rev. E 82(2), 21921 (2010)
A. Azam, A. Davood, Entanglement evolution of a three-qubit system after interaction with even three-mode nonlinear coherent state. Phys. Scr. 96(4), 045101 (2021)
L.F. Li, S.C. Zhao, Influence of the coupled-dipoles on photosynthetic performance in a photosynthetic quantum heat engine. Chin. Phys. B 30(4), 044215 (2021)
N. Stritzelberger, L.J. Henderson, V. Baccetti, N.C. Menicucci, A. Kempf, Entanglement harvesting with coherently delocalized matter. Phys. Rev. D 103(14), 016007 (2021)
A. Belfakir, Y. Hassouni, Bipartite entanglement of generalized barutcgirardello nonlinear coherent states. Quantum Inf. Process. 20, 8 (2021)
B.S. Jadot, P.A. Mortemousque, E. Chanrion et al., Distant spin entanglement via fast and coherent electron shuttling. Nat. Nanotechnol. 16, 570–575 (2021)
Y. Zhou, Entanglement detection under coherent noise: Greenberger-horne-zeilinger-like states. Phys. Rev. A 101(11), 012301 (2020)
M. Tiersch, S. Popescu, H. J. Briegel. A critical view on transport and entanglement in models of photosynthesis. Phil. Trans. R. Soc. A, p. 3703771 (2012)
J. S. Cao, R. J. Cogdell, D. F. Coker, H. G. Duan, J. U. Hauer, T. L. C. Jansen, Tomáš Mančal, R. J. D. Miller, J. P. Ogilvie, V. I. Prokhorenko, T. Renger, H. S. Tan, R. Tempelaar, M. Thorwart, E. Thyrhaug, S. Westenhoff, D. Zigmantas. Quantum biology revisited. Sci. Adv. 6(14):eaaz4888 (2020)
M. Sarovar, A. Ishizaki, Graham R. Fleming, K. Birgitta Whaley, Quantum entanglement in photosynthetic light-harvesting complexes. Nat. Phys. 6(6), 462 (2010)
Anatoly A. Svidzinsky, Konstantin E. Dorfman, Marlan O. Scully, Enhancing photovoltaic power by fano-induced coherence. Phys. Rev. A 84, 053818 (2011)
Konstantin E. Dorfman, Moochan B. Kim, Anatoly A. Svidzinsky, Increasing photocell power by quantum coherence induced by external source. Phys. Rev. A 84, 053829 (2011)
M. B. Plenio, S. Virmani. An introduction to entanglement measures. Quantum Inf. Comput. 7(1):1–51 (2007). https://dl.acm.org/doi/10.5555/2011706.2011707
F. Caruso, W. Chin, A. Datta, S.F. Huelga, M.B. Plenio, Entanglement and entangling power of the dynamics in light-harvesting complexes. Phys. Rev. A 81, 062346 (2010)
M. Qin, H.Z. Shen, X.X. Yi, A multi-pathway model for photosynthetic reaction center. J. Chem. Phys. 144(12), 125103 (2016)
S.C. Zhao, J.Y. Chen, Enhanced quantum yields and efficiency in a quantum dot photocell modeled by a multi-level system. New J. Phys. 21(10), 103015 (2019)
S.Q. Zhong, S.C. Zhao, S.N. Zhu, Photovoltaic performances in a cavity-coupled double quantum dots photocell. Res. Phys. 27, 104503 (2021)
S.C. Zhao, Q.X. Wu, High quantum yields generated by a multi-band quantum dot photocell. Superlattices Microstruct. 137, 106329 (2020)
S.Q. Zhong, S.C. Zhao, S.N. Zhu, Photovoltaic properties enhanced by the tunneling effect in a coupled quantum dot photocell. Res. Phys. 24, 104094 (2021)
Y. Mazal, Y. Meir, Y. Dubi, Nonmonotonic thermoelectric currents and energy harvesting in interacting double quantum dots. Phys. Rev. B 99(10), 075433 (2019)
S.C. Zhao, J.Y. Chen, X. Li, Different roles of quantum interference in a quantum dot photocell with two intermediate bands. Eur. Phys. J. Plus 135(11), 892 (2020)
H. Hannes, H. Jonas, R. Stefan, Influence of external contacting on electroluminescence and fill factor measurements. Solar Energy Mater. Solar Cells 152, 180–186 (2016)
C.H. Chiang, C.G. Wu, Bulk heterojunction perovskitecpcbm solar cells with high fill factor. Nat. Photon. 10(3), 196–200 (2016)
S. Surdo, R. Carzino, A. Diaspro, M. Duocastella, Single-shot laser additive manufacturing of high fill-factor microlens arrays. Adv. Opt. Mater. 6(5), 1701190 (2018)
J.Y. Chen, S.C. Zhao, Radiative recombination rate suppressed in a quantum photocell with three electron donors. Eur. Phys. J. Plus 135(92), 1–8 (2020)
M.O. Scully, K.R. Chapin, K.E. Dorfman, M.B. Kim, A. Svidzinsky, Quantum heat engine power can be increased by noise-induced coherence. PNAS 108(37), 15097–15100 (2011)
K.E. Dorfman, D.V. Voronine, S. Mukamel, M.O. Scully, Photosynthetic reaction center as a quantum heat engine. PNAS 110(8), 2746–2751 (2013)
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant Nos. 62065009 and 61565008 ), Yunnan Fundamental Research Projects, China (Grant No. 2016FB009 ).
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S. C. Zhao conceived the idea. L. X. Xu performed the numerical computations and wrote the draft, and S. C. Zhao did the analysis and revised the paper. L. X. Xu and L. F. Li participated in part of the discussion.
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Xu, LX., Zhao, SC. & Li, LF. Photosynthetic properties assisted by the quantum entanglement in two adjacent pigment molecules. Eur. Phys. J. Plus 137, 683 (2022). https://doi.org/10.1140/epjp/s13360-022-02858-6
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DOI: https://doi.org/10.1140/epjp/s13360-022-02858-6