Effects of finite temperature on the Mott-insulator state

Guido Pupillo, Carl J. Williams, and Nikolay V. Prokof’ev

Phys. Rev. A 73, 013408 – Published 20 January 2006

Abstract

We investigate the effects of finite temperature on ultracold Bose atoms confined in an optical lattice plus a parabolic potential in the Mott-insulator state. In particular, we analyze the temperature dependence of the density distribution of atomic pairs in the lattice, by means of exact Monte Carlo simulations. We introduce a simple model that quantitatively accounts for the computed pair density distributions at low enough temperatures. We suggest that the temperature dependence of the atomic pair statistics may be used to estimate the system’s temperature at energies of the order of the atoms’ interaction energy.

Received 2 July 2004

DOI:https://doi.org/10.1103/PhysRevA.73.013408

Authors & Affiliations

Guido Pupillo^1,2,3, Carl J. Williams¹, and Nikolay V. Prokof’ev^4,5

¹National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
²Department of Physics, University of Maryland, College Park, Maryland 20742, USA
³Institute for Quantum Optics and Quantum Information, 6020 Innsbruck, Austria
⁴Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
⁵Russian Research Center “Kurchatov Institute,” 123182, Moscow

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Vol. 73, Iss. 1 — January 2006

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