{ "id": "cond-mat/0411473", "version": "v2", "published": "2004-11-18T10:46:45.000Z", "updated": "2004-12-21T10:30:59.000Z", "title": "Bosons in optical lattices - from the Mott transition to the Tonks-Girardeau gas", "authors": [ "S. Wessel", "F. Alet", "S. Trebst", "D. Leumann", "M. Troyer", "G. George Batrouni" ], "comment": "7 pages with 9 figures;v2: improved discussion on Tonks-Girardeau gas", "journal": "J. Phys. Soc. Jpn. Suppl. 74, 10 (2005).", "categories": [ "cond-mat.stat-mech" ], "abstract": "We present results from quantum Monte Carlo simulations of trapped bosons in optical lattices, focusing on the crossover from a gas of softcore bosons to a Tonks-Girardeau gas in a one-dimensional optical lattice. We find that depending on the quantity being measured, the behavior found in the Tonks-Girardeau regime is observed already at relatively small values of the interaction strength. A finite critical value for entering the Tonks-Girardeau regime does not exist. Furthermore, we discuss the computational efficiency of two quantum Monte Carlo methods to simulate large scale trapped bosonic systems: directed loops in stochastic series expansions and the worm algorithm.", "revisions": [ { "version": "v2", "updated": "2004-12-21T10:30:59.000Z" } ], "analyses": { "keywords": [ "optical lattice", "tonks-girardeau gas", "mott transition", "tonks-girardeau regime", "large scale trapped bosonic systems" ], "tags": [ "journal article" ], "publication": { "doi": "10.1143/JPSJS.74S.10", "journal": "Journal of the Physical Society of Japan", "year": 2005, "month": "Jan", "volume": 74, "pages": 10 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005JPSJ...74S..10W" } } }