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Infrared Problem in Cold Atom Quantum Physisorption on 2D Materials

arXiv
Authors: Sanghita Sengupta, Dennis P. Clougherty

Year

2018

Paper ID

7429

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

Abstract

Results from four different approximations to the phonon-assisted quantum adsorption rate for cold atoms on a 2D material are compared and contrasted: (1) a loop expansion (LE) based on the atom-phonon coupling, (2) non-crossing approximation (NCA), (3) independent boson model approximation (IBMA), and (4) a leading-order soft-phonon resummation method (SPR). We conclude that, of the four approximations considered, only the SPR method gives a divergence-free result in the large membrane regime at finite temperature. The other three methods give an adsorption rate that diverges in the limit of an infinite surface.

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  • Results from four different approximations to the phonon-assisted quantum adsorption rate for cold atoms on a 2D material are compared and contrasted: (1) a loop expansion (LE)...

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