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انجمن اپتیک و فوتونیک ایران

Theoretical Study of Quantum Entanglement Dynamics in a Photosynthetic Dimer System

Maryam Saberi, R. Roknizadeh, M. Bagheri Harouni

Published Mar 15, 2015• 0 citations
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Abstract

In this paper, a new analytical approach for the dynamics of excitation energy transfer and quantum entanglement in a photosynthetic dimer system is presented. In this approach, the protein environment is investigated as a phonon bath and the coherent representation is investigated to display of their states. The exact analytical expressions for the population of two pigments and their quantum entanglement is obtained. It is shown that numerical results have a good matching with the experimental results for both limits of weak and strong electronic coupling at cryogenic and physiological temperatures.

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In this paper, a new analytical approach for the dynamics of excitation energy transfer and quantum entanglement in a photosynthetic dimer system is presented. In this approach, the protein environment is investigated as a phonon bath and the coherent representation is investigated to display of their states. The exact analytical expressions for the population of two pigments and their quantum entanglement is obtained. It is shown that numerical results have a good matching with the experimental results for both limits of weak and strong electronic coupling at cryogenic and physiological temperatures.
In this work, an exact analytical approach for the dynamics of excitation energy transfer and quantum entanglement in a photosynthetic dimer system is presented. In this approach, the protein environment is investigated as non-Markovian stochastic noise around each pigment molecule. The exact analytical expressions for the population of two pigments and their quantum entanglement is obtained. It is shown that numerical results have a good matching with the experimental results at cryogenic and physiological temperatures.
Abstract The dynamics of single-excitation energy transfer in a molecular dimer interacting with a phonon bath is studied. Although there are exact numerical solutions for this system, we propose an approach that provides exact analytical results with few electronic degrees of freedom. This approach is based on considering the phonon subsystem in the coherent state representation. Applying this approach, the long-lived coherence time is evaluated in the weak and strong coupling regimes. Moreover, by calculating the quantum entanglement and global quantum discord, the time evolution of quantum correlations is examined. The effects of two parameters, electronic coupling strength and bath temperature, on the energy transfer and quantum correlations are studied. It is shown, in agreement with previous results, that the long-lived coherence time in the weak coupling regime is longer than in the strong coupling regime. Also, the increasing bath temperature gives rise to faster delocalization of energy transfer. Furthermore, it is illustrated that the bath temperature has a significant effect on the quantum entanglement with respect to the global quantum discord.
Two chlorophylls of the FMO complex, the light-harvesting complex of the green sulfur bacteria, are modeled as two coupled qubits, each surrounded by one spin-bath simulating the environment. The dynamics of the system at a non-zero temperature provide exact analytical expressions for the transition probability and the coherence. It is shown that the decoherence-inducing interaction with the environment enhances the electronic energy transfer. Also the correlations in terms of entanglement and nonlocality are quantitatively studied, sensitively differing when introducing a decay term to resemble both chlorophylls being in their ground states. It is proved that nonlocality is a stronger form of correlation than entanglement.
In this paper, we present a theoretical description to the quantum coherence and decoherence phenomena of energy transfer in photosynthesis observed in a recent experiment [Science 316, 1462 (2007)]. As a successive two-color laser pulses with selected frequencies cast on a sample of the photosynthetic purple bacterium Rb. sphaeroides two resonant excitations of electrons in chromophores can be generated. However, this effective two-level subsystem will interact with its protein environment and decoherence is inevitable. We describe this subsystem coupled with its environment as a dynamical spin-boson model. The non-Markovian decoherence dynamics is described using a quasiadiabatic propagator path integral (QUAPI) approach. With the photon-induced effective time-dependent level splitting energy and level flip coupling coefficient between the two excited states and the environment-induced non-Markovian decoherence dynamics, our theoretical result is in good agreement with the experimental data.
We explore quantum entanglement among the chlorophyll molecules in light-harvesting complex II, which is the most abundant photosynthetic antenna complex in plants containing over 50% of the world's chlorophyll molecules. Our results demonstrate that there exists robust quantum entanglement under physiological conditions for the case of a single elementary excitation. However, this nonvanishing entanglement is not unexpected because entanglement in the single-excitation manifold is conceptually the same as quantum delocalized states, which are the spectroscopically detectable energy eigenstates of the system. We discuss the impact of the surrounding environments and correlated fluctuations in electronic energies of different pigments upon quantum delocalization and quantum entanglement. It is demonstrated that investigations with tools quantifying the entanglement can provide us with more detailed information on the nature of quantum delocalization, in particular the so-called dynamic localization, which is difficult for a traditional treatment to capture.
In this paper, we present a theoretical description to the quantum coherence and decoherence phenomena of energy transfer in photosynthesis observed in a recent experiment [see Science 316, 1462 (2007)]. As a successive two-color laser pulses with selected frequencies cast on a sample of the photosynthetic purple bacterium Rb. sphaeroides two resonant excitations of electrons in chromophores can be generated. However, this effective two-level subsystem will interact with its protein environment and decoherence is inevitable. We describe this subsystem coupled with its environment as a dynamical spin-boson model. The non-Markovian decoherence dynamics is described using a quasi-adiabatic propagator path integral (QUAPI) approach. With the photon-induced effective time-dependent level splitting energy and level flip coupling coefficient between the two excited states and the environment-induced non-Markovian decoherence dynamics, our theoretical result is in good agreement with the experimental data.