2000/12/26 by Gurjav Ganbold, G. Ganbold, Ganbold, G. · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/0012467
LaTeX, 10 pages, 2 figures in *.eps files
arxiv created 2000/12/26 · openalex publication_date 2000/12/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The ground-state energy, the effective mass and the number of virtual phonons of the optical large polaron confined strictly in one dimension have been estimated by using the generalized Gaussian approximation. The leading-order terms take care of all Gaussian fluctuations in the system and improve the conventional variational estimates at finite coupling. Particularly, the lowest upper bound to the polaron ground-state energy has been obtained. The non-Gaussian contributions systematically correct the leading-order approximations. We have obtained exact analytical solutions in the weak- and strong-coupling limit and reasonable numerical data for intermediate coupling. Our result for the number of excited phonons limits the validity region of the few-phonon approximation methods.