Mott transition for strongly interacting one-dimensional bosons in a shallow periodic potential
Authors: Boéris G., Gori L., Hoogerland M. D., A. Kumar A., Lucioni E., Tanzi L., Inguscio M., Giamarchi T., D’Errico C., Carleo G., Modugno G., Sanchez-Palencia L.
Autors Affiliation: Laboratoire Charles Fabry, Institut d’Optique, CNRS, Univ Paris-Saclay, 2 avenue Augustin Fresnel, F-91127 Palaiseau cedex, France;
LENS and Dipartimento di Fisica e Astronomia, Universit`a di Firenze, and CNR-INO 50019 Sesto Fiorentino, Italy;
Department of Physics, University of Auckland Private Bag 92019, Auckland, New Zealand;
INRIM, 10135 Torino, Italy;
Department of Quantum Matter Physics, University of Geneva, 24 quai Ernest-Ansermet, 1211 Geneva, Switzerland
Abstract: We investigate the superfluid-insulator transition of one-dimensional interacting bosons in both deep and shallow periodic potentials. We compare a theoretical analysis based on quantum Monte Carlo simulations in continuum space and Luttinger liquid approach with experiments on ultracold atoms with tunable interactions and optical lattice depth. Experiments and theory are in excellent agreement. Our study provides a quantitative determination of the critical parameters for the Mott transition and defines the regimes of validity of widely used approximate models, namely, the Bose-Hubbard and sine-Gordon models.
Journal/Review: PHYSICAL REVIEW A
Volume: 93 (1) Pages from: 011601 to: 011601
More Information: This research was supported by the European Union FET-Proactive QUIC (H2020 Grant No. 641122), the European Research Council ERC-StG ALoGlaDis (FP7/2007-2013 Grant No. 256294), the European Union Marie Curie IEF (FP7/2007-2013 Grant No. 327143), the French Ministere de lKeyWords: Bosons; Crystal lattices; Intelligent systems; Optical lattices, Approximate model; Interacting bosons; Luttinger liquids; One-dimensional bosons; Periodic potentials; Quantitative determinations; Quantum Monte Carlo simulations; Superfluid-insulator transition, Monte Carlo methodsDOI: 10.1103/PhysRevA.93.011601Citations: 36data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-02-28References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here