Abstract

Whether long-range quantum coherent states could exist in biological systems, and beyond low-temperature regimes where quantum physics is known to be applicable, has been the subject to debate for decades. It was proposed by Fröhlich that vibrational modes within protein molecules can order and condense into a lowest-frequency vibrational mode in a process similar to Bose-Einstein condensation, and thus that macroscopic coherence could potentially be observed in biological systems. Despite the prediction of these so-called Fröhlich condensates almost five decades ago, experimental evidence thereof has been lacking. Here, we present the first experimental observation of Fröhlich condensation in a protein structure. To that end, and to overcome the challenges associated with probing low-frequency molecular vibrations in proteins (which has hampered understanding of their role in proteins' function), we combined terahertz techniques with a highly sensitive X-ray crystallographic method to visualize low-frequency vibrational modes in the protein structure of hen-egg white lysozyme. We found that 0.4 THz electromagnetic radiation induces non-thermal changes in electron density. In particular, we observed a local increase of electron density in a long α-helix motif consistent with a subtle longitudinal compression of the helix. These observed electron density changes occur at a low absorption rate indicating that thermalization of terahertz photons happens on a micro- to milli-second time scale, which is much slower than the expected nanosecond time scale due to damping of delocalized low frequency vibrations. Our analyses show that the micro- to milli-second lifetime of the vibration can only be explained by Fröhlich condensation, a phenomenon predicted almost half a century ago, yet never experimentally confirmed.

Highlights

  • (0.1–10 THz) are expected to have a strong influence on protein function, for example, in the enzyme adenylate kinase picosecond vibrations are involved in the opening of the active site “lid.”1–3 But understanding low-frequency vibrational modes in proteins is difficult for two reasons

  • It was proposed by Fr€ohlich that vibrational modes within protein molecules can order and condense into a lowest-frequency vibrational mode in a process similar to Bose-Einstein condensation, and that macroscopic coherence could potentially be observed in biological systems

  • We used X-ray crystallography combined with THz radiation to visualize structural changes associated with low-frequency collective vibrations induced in lysozyme protein crystals by irradiation with 0.4 THz radiation and detected steady state structural changes that are sustained for micro- to milli-seconds, which is 3–6 orders of magnitude longer than expected if the structural changes would be due to a redistribution of vibrations upon terahertz absorption following Boltzmann’s distribution

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Summary

Introduction

(0.1–10 THz) are expected to have a strong influence on protein function, for example, in the enzyme adenylate kinase picosecond (ps) vibrations are involved in the opening of the active site “lid.” But understanding low-frequency vibrational modes in proteins is difficult for two reasons. Instead, according to Fr€ohlich’s hypothetical model, the protein could be described as a group of coupled oscillators (in a thermal bath), which could condense into the lowest-frequency-mode when energy is supplied to the system, in a process similar to Bose-Einstein condensation. We used X-ray crystallography combined with THz radiation to visualize structural changes associated with low-frequency collective vibrations induced in lysozyme protein crystals by irradiation with 0.4 THz radiation and detected steady state structural changes that are sustained for micro- to milli-seconds, which is 3–6 orders of magnitude longer than expected if the structural changes would be due to a redistribution of vibrations upon terahertz absorption following Boltzmann’s distribution. Our results provide the first strong evidence for the occurrence of Fr€ohlich condensation in a protein structural network and indicate that macroscopic quantum effects may manifest in biological systems

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