dorsal/arxiv
View SchemaVibron-polaron in alpha-helices. II. Two-vibron bound states
| Authors | Cyril Falvo, Vincent Pouthier |
|---|---|
| Categories | |
| ArXiv ID | physics/0509140 |
| URL | https://arxiv.org/abs/physics/0509140 |
| DOI | 10.1063/1.2101570 |
Abstract
The two-vibron dynamics associated to amide-I vibrations in a 3D $\alpha$-helix is described according to a generalized Davydov model. The helix is modeled by three spines of hydrogen-bonded peptide units linked via covalent bonds. It is shown that the two-vibron energy spectrum supports both a two-vibron free states continuum and two kinds of bound states, called TVBS-I and TVBS-II, connected to the trapping of two vibrons onto the same amide-I mode and onto two nearest neighbor amide-I modes belonging to the same spine, respectively. At low temperature, non vanishing interspine hopping constants yield a three dimensional nature of both TVBS-I and TVBS-II which the wave functions extend over the three spines of the helix. At biological temperature, the pairs are confined in a given spine and exhibit the same features as the bound states described within a one-dimensional model. The interplay between the temperature and the 3D nature of the helix is also responsible for the occurrence of a third bound state called TVBS-III which refers to the trapping of two vibrons onto two different spines. The experimental signature of the existence of bound states is discussed through the simulation of their infrared pump-probe spectroscopic response. Finally, the fundamental question of the breather-like behavior of two-vibron bound states is addressed.
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"abstract": "The two-vibron dynamics associated to amide-I vibrations in a 3D\n$\\alpha$-helix is described according to a generalized Davydov model. The helix\nis modeled by three spines of hydrogen-bonded peptide units linked via covalent\nbonds. It is shown that the two-vibron energy spectrum supports both a\ntwo-vibron free states continuum and two kinds of bound states, called TVBS-I\nand TVBS-II, connected to the trapping of two vibrons onto the same amide-I\nmode and onto two nearest neighbor amide-I modes belonging to the same spine,\nrespectively. At low temperature, non vanishing interspine hopping constants\nyield a three dimensional nature of both TVBS-I and TVBS-II which the wave\nfunctions extend over the three spines of the helix. At biological temperature,\nthe pairs are confined in a given spine and exhibit the same features as the\nbound states described within a one-dimensional model. The interplay between\nthe temperature and the 3D nature of the helix is also responsible for the\noccurrence of a third bound state called TVBS-III which refers to the trapping\nof two vibrons onto two different spines. The experimental signature of the\nexistence of bound states is discussed through the simulation of their infrared\npump-probe spectroscopic response. Finally, the fundamental question of the\nbreather-like behavior of two-vibron bound states is addressed.",
"arxiv_id": "physics/0509140",
"authors": [
"Cyril Falvo",
"Vincent Pouthier"
],
"categories": [
"physics.bio-ph"
],
"doi": "10.1063/1.2101570",
"title": "Vibron-polaron in alpha-helices. II. Two-vibron bound states",
"url": "https://arxiv.org/abs/physics/0509140"
},
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