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Applied Physics B

Thermodynamic cost of quantum transfers

Sodeif Ahadpour, Фороузан Мирмасоуди

Published Mar 1, 2022• 2 citations
Publisher
DOI
10.1007/s00340-022-07788-w

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Quantum coherence in biological systems is often assumed to be thermodynamically expensive to maintain, but its actual energy cost has never been quantified. We compute the thermodynamic cost of quantum-coherent energy transfer in the FMO photosynthetic complex using Lindblad master equation simulations. At optimal ENAQT dephasing (γ = 100 cm⁻¹), the transport efficiency reaches 29.4%, the Holevo channel capacity peaks at 2.17 bits, and the Landauer ratio—the energy cost per successfully transmitted bit relative to the fundamental thermodynamic limit kT ln 2—is ~ 390×. This is approximately 104 times more efficient than classical CMOS computing (~ 107× Landauer). The entropy production rate peaks at 1.77 kB/ps at γ = 300 cm⁻¹, and the von Neumann entropy saturates at Smax = 2.45 bits at steady state. These results provide the first quantitative thermodynamic characterization of quantum-coherent energy transfer in a pigment-protein complex.
We derive a thermodynamic uncertainty relation (TUR) under quantum continuous measurement and feedback control. By incorporating the quantum-classical-transfer entropy, which quantifies the information gained by continuous measurement, we show that the precision of currents is constrained by information-thermodynamic costs such as the entropy production and information gain. Our result shows that information gain has the potential to enhance the precision of currents beyond the bounds set by the conventional TUR. We illustrate the bound with a driven two-level system under continuous measurement and feedback, demonstrating that feedback achieves higher precision of currents while suppressing the entropy production.