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انجمن اپتیک و فوتونیک ایران

Influence of non-Markovian Stochastic Noises on Dynamics of Quantum Entanglement 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 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.

Related papers

Theoretical Study of Quantum Entanglement Dynamics in a Photosynthetic Dimer System

Maryam Saberi, R. Roknizadeh, M. Bagheri Harouni

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.

انجمن اپتیک و فوتونیک ایران•Mar 15, 2015•0 citations

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Decoherence-assisted transport in pigment protein complexes

Adrià Sonet Ventosa

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.

•Jan 1, 2014•0 citations
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.
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.
When dealing with system-reservoir interactions in an open quantum system, such as a photosynthetic light-harvesting complex, approximations are usually made to obtain the dynamics of the system. One question immediately arises: how good are these approximations, and in what ways can we evaluate them? Here, we propose to use entanglement and a measure of non-Markovianity as benchmarks for the deviation of approximate methods from exact results. We apply two frequently-used perturbative but non-Markovian approximations to a photosynthetic dimer model and compare their results with that of the numerically-exact hierarchy equation of motion (HEOM). This enables us to explore both entanglement and non-Markovianity measures as means to reveal how the approximations either overestimate or underestimate memory effects and quantum coherence. In addition, we show that both the approximate and exact results suggest that non-Markonivity can, counter-intuitively, increase with temperature, and with the coupling to the environment.
Long-lived quantum coherence in photosynthetic pigment-protein complexes has recently been reported at physiological temperature. It has been pointed out that the discrete vibrational modes may be responsible for the long-lived coherence. Here, we propose an analytical non-Markovian model to explain the origin of the long-lived coherence in pigment-protein complexes. We show that the memory effect of the discrete vibrational modes produces a long oscillating tail in the coherence. We further use the recently proposed measure to quantify the non-Markovianity of the system and find out the prolonged coherence is highly correlated to it.
We study the evolution of quantum entanglement during exciton energy transfer (EET) in a network model of the Fenna-Matthews-Olson (FMO) complex, a biological pigment-protein complex involved in the early steps of photosynthesis in sulfur bacteria. The influence of Markovian as well as spatially and temporally correlated (non-Markovian) noise on the generation of entanglement across distinct chromophores (site entanglement) and different excitonic eigenstates (mode entanglement) is studied for different injection mechanisms, including thermal and coherent laser excitation. Additionally, we study the entangling power of the FMO complex under natural operating conditions. While quantum information processing tends to favor maximal entanglement, near unit EET is achieved as the result of an intricate interplay between coherent and noisy processes where the initial part of the evolution displays intermediate values of both forms of entanglement.
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.
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.