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arXiv · 1508.07069

Exact solution for low energy quantum anharmonic vibrations in a long polymer chain

Alexander L. Burin
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Abstract

We propose the algorithm for determining vibrational quantum eigenstates of periodic linear chain of atoms coupled by harmonic and third order anharmonic interactions (Fermi-Ulam-Pasta $α$ problem) in the long wavelength limit within the resonant approach. Eigenstates can be encoded by the sequence of integer numbers determining their energies and wavefunctions. Using these eigenstates we described a single phonon state time evolution showing coherent oscillations. The applications of theory to vibrational energy transport and quantum informatics are discussed.

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Alexander L. Burin. 2016-10-26. Exact solution for low energy quantum anharmonic vibrations in a long polymer chain. https://arxiv.org/abs/1508.07069

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