Estimating the HF coupling parameters of the avian compass by comprehensively considering the available experimental results

Abstract

Migratory birds can utilize the geomagnetic field for orientation and navigation through a widely accepted radical-pair mechanism. Although many theoretical works have been done the available experimental results have not been fully considered, especially, the temporary disorientation induced by the field which is increased by 30% of geomagnetic field and the disorientation of the very weak resonant field of $15nT$. In this paper, we consider the monotonicity of the singlet yield angular profile as the prerequisite of direction sensitivity, and find that for some optimal values of the hyperfine coupling parameters, that is the order of $10^{-7}\sim 10^{-6}meV$, the experimental results available by far can be satisfied. We also investigate the effects of two decoherence environments and demonstrate that, in order to satisfy the available experimental results, the decoherence rate should be much lower than the recombination rate. Finally we investigate the effects of the fluctuating magnetic noises, and find that the vertical noise destroys the monotonicity of the profile completely, but the parallel noise preserves the monotonicity perfectly and even can enhance the direction sensitivity.

10 pages, 9 figures, published version

References in corpus (8)

• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Dephasing assisted transport: Quantum networks and biomolecules
• Spin-selective reactions of radical pairs act as quantum measurements
• Quantum coherence and sensitivity of avian magnetoreception
• Environmental effects on electron spin relaxation in N@C60
• Multiscale photosynthetic exciton transfer
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• Retrodictive derivation of the radical-ion-pair master equation and Monte-Carlo simulation with single-molecule quantum trajectories
• On the functional window of the avian compass
• Quantum Information Processing in the Radical-Pair Mechanism: Haberkorn theory violates the Ozawa entropy bound
• Lamb shift in radical-ion pairs produces a singlet-triplet energy splitting in photosynthetic reaction centers