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Emergence of correlated proton tunnelling in water ice.


ABSTRACT: Several experimental and theoretical studies report instances of concerted or correlated multiple proton tunnelling in solid phases of water. Here, we construct a pseudo-spin model for the quantum motion of protons in a hexameric H2O ring and extend it to open system dynamics that takes environmental effects into account in the form of O-H stretch vibrations. We approach the problem of correlations in tunnelling using quantum information theory in a departure from previous studies. Our formalism enables us to quantify the coherent proton mobility around the hexagonal ring by one of the principal measures of coherence, the l 1 norm of coherence. The nature of the pairwise pseudo-spin correlations underlying the overall mobility is further investigated within this formalism. We show that the classical correlations of the individual quantum tunnelling events in long-time limit is sufficient to capture the behaviour of coherent proton mobility observed in low-temperature experiments. We conclude that long-range intra-ring interactions do not appear to be a necessary condition for correlated proton tunnelling in water ice.

SUBMITTER: Pusuluk O 

PROVIDER: S-EPMC6545048 | biostudies-literature | 2019 May

REPOSITORIES: biostudies-literature

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Emergence of correlated proton tunnelling in water ice.

Pusuluk Onur O   Farrow Tristan T   Deliduman Cemsinan C   Vedral Vlatko V  

Proceedings. Mathematical, physical, and engineering sciences 20190515 2225


Several experimental and theoretical studies report instances of concerted or correlated multiple proton tunnelling in solid phases of water. Here, we construct a pseudo-spin model for the quantum motion of protons in a hexameric H<sub>2</sub>O ring and extend it to open system dynamics that takes environmental effects into account in the form of O-H stretch vibrations. We approach the problem of correlations in tunnelling using quantum information theory in a departure from previous studies. Ou  ...[more]

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