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            <idno type="halRefHtml">&lt;i&gt;Journal of the Physical Society of Japan Suppl.&lt;/i&gt;, 2005, 74, pp.10</idno>
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            <note type="commentary">7 pages with 9 figures;v2: improved discussion on Tonks-Girardeau gas</note>
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              <p>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.</p>
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