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- W1567688249 abstract "We investigate the critical behavior of trapped particle systems at the low-temperature superfluid transition. In particular, we consider the three-dimensional Bose-Hubbard model in the presence of a trapping harmonic potential coupled with the particle density, which is a realistic model of cold bosonic atoms in optical lattices. We present a numerical study based on quantum Monte Carlo simulations, analyzed in the framework of the trap-size scaling (TSS). We show how the critical parameters can be derived from the trap-size dependencies of appropriate observables, matching them with TSS. This provides a systematic scheme which is supposed to exactly converge to the critical parameters of the transition in the large-trap-size limit. Our numerical analysis may provide a guide for experimental investigations of trapped systems at finite-temperature and quantum transitions, showing how critical parameters may be determined by looking at the scaling of the critical modes with respect to the trap size, i.e., by matching the trap-size dependence of the experimental data with the expected TSS ansatz." @default.
- W1567688249 created "2016-06-24" @default.
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- W1567688249 date "2013-01-24" @default.
- W1567688249 modified "2023-09-25" @default.
- W1567688249 title "Critical parameters from trap-size scaling in systems of trapped particles" @default.
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- W1567688249 doi "https://doi.org/10.1103/physrevb.87.024513" @default.
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